Least Common Multiple of 205, 642, 749

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 205, 642, 749 i.e. 921270 smallest integer divisible by all numbers.

Least common multiple (LCM) of 205, 642, 749 is 921270.

LCM(205, 642, 749) = 921270

LCM of 205, 642, 749

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

LCM of:

Least Common Multiple of 205,642,749

Least Common Multiple (LCM) of 205,642,749 is 921270

107 205, 642, 749
205, 6, 7

∴ So the LCM of the given numbers is 107 x 205 x 6 x 7 = 921270

Least Common Multiple of 205,642,749 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 205,642,749 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(205,642,749) = 1

common factors(in case of two or more numbers have common factors) = 107

GCF(205,642,749) x common factors =1 x 107 = 107

LCM(205,642,749) = ( 205 × 642 × 749 ) / 107

LCM(205,642,749) = 98575890 / 107

LCM(205,642,749) = 921270

∴ Least Common Multiple of 205,642,749 is 921270

LCM of two or more Numbers Calculation Examples

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Frequently Asked Questions on LCM of 205, 642, 749

1. What is the LCM of 205, 642, 749?

Answer: LCM of 205, 642, 749 is 921270.

2. What are the Factors of 921270?

Answer: Factors of 921270 are . There are integers that are factors of 921270

3. How to Find the LCM of 205, 642, 749 ?

Least Common Multiple of 205, 642, 749.

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(205, 642, 749) = 2 x 3 x 5 x 7 x 41 x 107 = 921270.