Least Common Multiple of 268, 219, 292, 949

Q: How to Find the LCM of 268, 219, 292, 949 ?

Least Common Multiple of 268, 219, 292, 949 = 762996 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(268, 219, 292, 949) = 2 x 2 x 3 x 13 x 67 x 73 = 762996.

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 268, 219, 292, 949 i.e. 762996 smallest integer divisible by all numbers.

Least common multiple (LCM) of 268, 219, 292, 949 is 762996.

LCM(268, 219, 292, 949) = 762996

LCM of 268, 219, 292, 949

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

Least Common Multiple of 268, 219, 292, 949 by common division method
Least Common Multiple of 268, 219, 292, 949 with GCF Formula

Least Common Multiple of 268,219,292,949

Least Common Multiple (LCM) of 268,219,292,949 is 762996

2	268, 219, 292, 949
2	134, 219, 146, 949
73	67, 219, 73, 949
	67, 3, 1, 13

∴ So the LCM of the given numbers is 2 x 2 x 73 x 67 x 3 x 1 x 13 = 762996

Least Common Multiple of 268,219,292,949 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 268,219,292,949 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(268,219,292,949) = 1

common factors(in case of two or more numbers have common factors) = 21316

GCF(268,219,292,949) x common factors =1 x 21316 = 21316

LCM(268,219,292,949) = ( 268 × 219 × 292 × 949 ) / 21316

LCM(268,219,292,949) = 16264022736 / 21316

LCM(268,219,292,949) = 762996

∴ Least Common Multiple of 268,219,292,949 is 762996

LCM of two or more Numbers Calculation Examples

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Frequently Asked Questions on LCM of 268, 219, 292, 949

1. What is the LCM of 268, 219, 292, 949?

Answer: LCM of 268, 219, 292, 949 is 762996.

2. What are the Factors of 762996?

Answer: Factors of 762996 are . There are integers that are factors of 762996

3. How to Find the LCM of 268, 219, 292, 949 ?

Least Common Multiple of 268, 219, 292, 949.

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(268, 219, 292, 949) = 2 x 2 x 3 x 13 x 67 x 73 = 762996.