Least Common Multiple of 276, 312, 708

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 276, 312, 708 i.e. 423384 smallest integer divisible by all numbers.

Least common multiple (LCM) of 276, 312, 708 is 423384.

LCM(276, 312, 708) = 423384

LCM of 276, 312, 708

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

LCM of:

Least Common Multiple of 276,312,708

Least Common Multiple (LCM) of 276,312,708 is 423384

2 276, 312, 708
2 138, 156, 354
3 69, 78, 177
23, 26, 59

∴ So the LCM of the given numbers is 2 x 2 x 3 x 23 x 26 x 59 = 423384

Least Common Multiple of 276,312,708 with GCF Formula

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

We need to calculate greatest common factor of 276,312,708 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(276,312,708) = 12

common factors(in case of two or more numbers have common factors) = 12

GCF(276,312,708) x common factors =12 x 12 = 144

LCM(276,312,708) = ( 276 × 312 × 708 ) / 144

LCM(276,312,708) = 60967296 / 144

LCM(276,312,708) = 423384

∴ Least Common Multiple of 276,312,708 is 423384

LCM of two or more Numbers Calculation Examples

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Frequently Asked Questions on LCM of 276, 312, 708

1. What is the LCM of 276, 312, 708?

Answer: LCM of 276, 312, 708 is 423384.

2. What are the Factors of 423384?

Answer: Factors of 423384 are . There are integers that are factors of 423384

3. How to Find the LCM of 276, 312, 708 ?

Least Common Multiple of 276, 312, 708.

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(276, 312, 708) = 2 x 2 x 2 x 3 x 13 x 23 x 59 = 423384.