what is the LCM 10 and 35
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What do you think the answer i?
You are searching for the smallest number which is a multiple of both numbers.
Start with the largest number...
35, Its first multiple is 35 (35X1)
is there any number you can multiply 10 by to get 35?....no
Find the next multiple of 35. So take 35 X 2 = X
Is there any number you can multiply 10 by to get that number? If there is than X is your least common multiple, if not, try the next multiple of 35...35X3 and so on....
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To find the Least Common Multiple (LCM) of 10 and 35, we can follow these steps:
Step 1: Find the prime factors of each number.
The prime factors of 10 are 2 and 5.
The prime factors of 35 are 5 and 7.
Step 2: Determine the highest power of each prime factor that appears in either number.
In this case, the highest power of 2 that appears is 2^1 (since 2 is only a factor of 10 and not 35), the highest power of 5 that appears is 5^1 (since it appears in both numbers), and the highest power of 7 that appears is 7^1 (since it appears in 35 only).
Step 3: Multiply all the prime factors, each raised to its highest power.
2^1 * 5^1 * 7^1 = 70.
Therefore, the LCM of 10 and 35 is 70.