LCM for 70 and 245

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What's the Least Common Multiple (LCM) of 70 and 245?

Answer

LCM of 70 and 245 is
490

First common multiples: 490; 980; 1,470; …

490 is divisible by both: 490 ÷ 70 = 7, 490 ÷ 245 = 2 — and 7 and 2 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/70 by 7 and of y/245 by 2.

70 = 2 × 5 × 7

245 = 5 × 72

Prime70245Highest power
22—2
5555
777272

— = power 0: the prime is not a factor of this number; the LCM takes it from the number that has it.

LCM = 2 × 5 × 72 = 490

See Also

FAQ

What's the Least Common Multiple (LCM) of 70 and 245?

LCM of 70 and 245 is 490

How to find the LCM of 70 and 245 using prime factorization?

To find the LCM of 70 and 245, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 490.

What is the difference between LCM and GCF?

LCM (Least Common Multiple) is the smallest number divisible by both numbers, while GCF (Greatest Common Factor) is the largest number that divides both. For 70 and 245: LCM = 490, GCF = 35.