Least Common Multiple of 772, 214, 509

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 772, 214, 509 i.e. 42045436 smallest integer divisible by all numbers.

Least common multiple (LCM) of 772, 214, 509 is 42045436.

LCM(772, 214, 509) = 42045436

LCM of 772, 214, 509

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

LCM of:

Least Common Multiple of 772,214,509

Least Common Multiple (LCM) of 772,214,509 is 42045436

2 772, 214, 509
386, 107, 509

∴ So the LCM of the given numbers is 2 x 386 x 107 x 509 = 42045436

Least Common Multiple of 772,214,509 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 772,214,509 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(772,214,509) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(772,214,509) x common factors =1 x 2 = 2

LCM(772,214,509) = ( 772 × 214 × 509 ) / 2

LCM(772,214,509) = 84090872 / 2

LCM(772,214,509) = 42045436

∴ Least Common Multiple of 772,214,509 is 42045436

LCM of two or more Numbers Calculation Examples

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Frequently Asked Questions on LCM of 772, 214, 509

1. What is the LCM of 772, 214, 509?

Answer: LCM of 772, 214, 509 is 42045436.

2. What are the Factors of 42045436?

Answer: Factors of 42045436 are . There are integers that are factors of 42045436

3. How to Find the LCM of 772, 214, 509 ?

Least Common Multiple of 772, 214, 509.

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(772, 214, 509) = 2 x 2 x 107 x 193 x 509 = 42045436.