lcm 1400,one number 40 find other number
To find the other number, we first need to find the prime factorization of 1400 and 40.
Prime factorization of 1400: 2^3 x 5^2 x 7
Prime factorization of 40: 2^3 x 5
The LCM is the product of the highest powers of all prime factors involved. So, the LCM of 1400 and 40 is:
LCM = 2^3 x 5^2 x 7 = 1400
Now, we know that one of the numbers is 40. To find the other number, we need to divide the LCM by 40:
1400 รท 40 = 35
Therefore, the other number is 35.
To find the other number given the LCM (lowest common multiple) of 1400 and one number is 40, you can use the formula:
LCM = (number 1 * number 2) / GCD
Where LCM is the desired value (40), number 1 is 1400, and number 2 is the other number we are trying to find.
Now, let's find the GCD (greatest common divisor) of 1400 and 40:
GCD(1400, 40) = 40
Now, we can substitute the values into the formula:
40 = (1400 * number 2) / 40
To find the value of number 2, we can rearrange the formula:
40 * 40 = 1400 * number 2
1600 = 1400 * number 2
Divide both sides by 1400:
1600 / 1400 = number 2
Simplifying:
1.14 = number 2
So, the other number is approximately 1.14.