Find the LCM and GCF of the following numbers:
1) 2016 and 756
2) 10140 and 705551
3) 17 664 and 288
4) 3960, 150 and 495
I believe the answers are:
1) LCM = 6048 GCF = 252
2) LCM = 7 154 287 140 GCF = 1
3) LCM = 52 992 GCF = 2208
4) LCM = 19 800 GCF = 15
They all look good to me.
Thank you! :)
U mixed Gcf and the Lcm :(
U mixed Gcf and the Lcm :(
wich is the right one for conxxus
the answer is 6. you can look it up on google
find the gcf of 8d - 20
To find the LCM (Least Common Multiple) and GCF (Greatest Common Factor) of two or more numbers, we can use different methods. Let's go step-by-step to find the LCM and GCF for each set of numbers you provided:
1) 2016 and 756:
To find the LCM, we can use the prime factorization method. Prime factors of 2016 are 2 x 2 x 2 x 2 x 3 x 3 x 7 x 2, and prime factors of 756 are 2 x 2 x 3 x 3 x 3 x 7. By taking the highest power of each prime factor, the LCM is calculated as: LCM = 2 x 2 x 2 x 2 x 3 x 3 x 3 x 7 = 6048.
To find the GCF, we can use the prime factorization method as well. We look for the common prime factors between the two numbers and multiply them together. GCF = 2 x 2 x 3 x 3 = 36.
So, the LCM is 6048 and the GCF is 36 for 2016 and 756.
2) 10140 and 705551:
To find the LCM and GCF for larger numbers, using prime factorization would be time-consuming. Instead, we can use the method of finding the LCM using the GCF.
To find the GCF, we use the Euclidean algorithm. By repeatedly dividing the larger number by the smaller number and taking the remainder, we can find the GCF. After applying this algorithm, we find that the GCF is 1.
To find the LCM, we can use the formula: LCM = (first number * second number) / GCF. In this case, LCM = (10140 x 705551) / 1 = 7,154,287,140.
Therefore, the LCM is 7,154,287,140 and the GCF is 1 for 10140 and 705551.
3) 17,664 and 288:
To find the LCM and GCF, we can again use the prime factorization method.
Prime factors of 17,664 are 2 x 2 x 2 x 2 x 2 x 3 x 7 x 7, and prime factors of 288 are 2 x 2 x 2 x 2 x 2 x 3 x 3. Taking the highest power of each prime factor, the LCM is calculated as: LCM = 2 x 2 x 2 x 2 x 2 x 3 x 3 x 7 x 7 = 52,992.
To find the GCF, once again, we need to look for the common prime factors between the two numbers and multiply them together. GCF = 2 x 2 x 2 x 2 x 2 x 3 = 48.
So, the LCM is 52,992 and the GCF is 48 for 17,664 and 288.
4) 3960, 150, and 495:
To find the LCM and GCF for three numbers, we can first find the LCM of the first two numbers and then find the LCM of the result with the third number. Similarly, we can find the GCF in the same way.
Let's find the LCM and GCF using this method:
The LCM of 3960 and 150 is 19,800, and the GCF is 30.
Now, we can find the LCM of 19,800 and 495. The LCM is 19,800. The GCF is 15.
Therefore, the LCM is 19,800 and the GCF is 15 for 3960, 150, and 495.
sorry to bother but do you know this
This artist used all of the following except: (1 point) Responses line line pattern pattern balance balance texture texture
Thank you very much, there a big help to me!!!
;) :) =) >w<