Least Common Multiple of 493, 849, 105

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, 849, 105 i.e. 14649495 smallest integer divisible by all numbers.

Least common multiple (LCM) of 493, 849, 105 is 14649495.

LCM(493, 849, 105) = 14649495

LCM of 493, 849, 105

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

LCM of:

Least Common Multiple of 493,849,105

Least Common Multiple (LCM) of 493,849,105 is 14649495

3 493, 849, 105
493, 283, 35

∴ So the LCM of the given numbers is 3 x 493 x 283 x 35 = 14649495

Least Common Multiple of 493,849,105 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 493,849,105 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(493,849,105) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(493,849,105) x common factors =1 x 3 = 3

LCM(493,849,105) = ( 493 × 849 × 105 ) / 3

LCM(493,849,105) = 43948485 / 3

LCM(493,849,105) = 14649495

∴ Least Common Multiple of 493,849,105 is 14649495

LCM of two or more Numbers Calculation Examples

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Frequently Asked Questions on LCM of 493, 849, 105

1. What is the LCM of 493, 849, 105?

Answer: LCM of 493, 849, 105 is 14649495.

2. What are the Factors of 14649495?

Answer: Factors of 14649495 are . There are integers that are factors of 14649495

3. How to Find the LCM of 493, 849, 105 ?

Least Common Multiple of 493, 849, 105.

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, 849, 105) = 3 x 5 x 7 x 17 x 29 x 283 = 14649495.