Least Common Multiple of 493, 377, 969

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 493, 377, 969 i.e. 365313 smallest integer divisible by all numbers.

Least common multiple (LCM) of 493, 377, 969 is 365313.

LCM(493, 377, 969) = 365313

LCM of 493, 377, 969

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

LCM of:

Least Common Multiple of 493,377,969

Least Common Multiple (LCM) of 493,377,969 is 365313

17 493, 377, 969
29 29, 377, 57
1, 13, 57

∴ So the LCM of the given numbers is 17 x 29 x 1 x 13 x 57 = 365313

Least Common Multiple of 493,377,969 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 493,377,969 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(493,377,969) = 1

common factors(in case of two or more numbers have common factors) = 493

GCF(493,377,969) x common factors =1 x 493 = 493

LCM(493,377,969) = ( 493 × 377 × 969 ) / 493

LCM(493,377,969) = 180099309 / 493

LCM(493,377,969) = 365313

∴ Least Common Multiple of 493,377,969 is 365313

LCM of two or more Numbers Calculation Examples

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Frequently Asked Questions on LCM of 493, 377, 969

1. What is the LCM of 493, 377, 969?

Answer: LCM of 493, 377, 969 is 365313.

2. What are the Factors of 365313?

Answer: Factors of 365313 are . There are integers that are factors of 365313

3. How to Find the LCM of 493, 377, 969 ?

Least Common Multiple of 493, 377, 969.

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(493, 377, 969) = 3 x 13 x 17 x 19 x 29 = 365313.