Least Common Multiple of 68, 49, 72, 357

Q: How to Find the LCM of 68, 49, 72, 357 ?

Least Common Multiple of 68, 49, 72, 357 = 59976 Step 1: Divide all the numbers with common prime numbers having remainder zero. Step 2: Then multiply all the prime factors with last row quotient of common division that is LCM(68, 49, 72, 357) = 2 x 2 x 2 x 3 x 3 x 7 x 7 x 17 = 59976.

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Use the LCM of two or more numbers Calculator to find the Least Common Multiple of numbers 68, 49, 72, 357 i.e. 59976 smallest integer divisible by all numbers.

Least common multiple (LCM) of 68, 49, 72, 357 is 59976.

LCM(68, 49, 72, 357) = 59976

LCM of 68, 49, 72, 357

Least common multiple or lowest common denominator (lcd) can be calculated in three ways

Least Common Multiple of 68, 49, 72, 357 by common division method
Least Common Multiple of 68, 49, 72, 357 with GCF Formula

Least Common Multiple of 68,49,72,357

Least Common Multiple (LCM) of 68,49,72,357 is 59976

2	68, 49, 72, 357
2	34, 49, 36, 357
3	17, 49, 18, 357
7	17, 49, 6, 119
17	17, 7, 6, 17
	1, 7, 6, 1

∴ So the LCM of the given numbers is 2 x 2 x 3 x 7 x 17 x 1 x 7 x 6 x 1 = 59976

Least Common Multiple of 68,49,72,357 with GCF Formula

The formula of LCM is LCM(a₁,a₂,a₃....,a_n) = ( a₁ × a₂ × a₃ × .... × a_n) / GCF(a₁,a₂,a₃....,a_n) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 68,49,72,357 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(68,49,72,357) = 1

common factors(in case of two or more numbers have common factors) = 1428

GCF(68,49,72,357) x common factors =1 x 1428 = 1428

LCM(68,49,72,357) = ( 68 × 49 × 72 × 357 ) / 1428

LCM(68,49,72,357) = 85645728 / 1428

LCM(68,49,72,357) = 59976

∴ Least Common Multiple of 68,49,72,357 is 59976

LCM of two or more Numbers Calculation Examples

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Frequently Asked Questions on LCM of 68, 49, 72, 357

1. What is the LCM of 68, 49, 72, 357?

Answer: LCM of 68, 49, 72, 357 is 59976.

2. What are the Factors of 59976?

Answer: Factors of 59976 are . There are integers that are factors of 59976

3. How to Find the LCM of 68, 49, 72, 357 ?

Least Common Multiple of 68, 49, 72, 357.

Step 1: Divide all the numbers with common prime numbers having remainder zero.

Step 2: Then multiply all the prime factors with last row quotient of common division that is LCM(68, 49, 72, 357) = 2 x 2 x 2 x 3 x 3 x 7 x 7 x 17 = 59976.