Least Common Multiple of 105, 924, 490

Q: How to Find the LCM of 105, 924, 490 ?

Least Common Multiple of 105, 924, 490 = 32340 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(105, 924, 490) = 2 x 2 x 3 x 5 x 7 x 7 x 11 = 32340.

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 105, 924, 490 i.e. 32340 smallest integer divisible by all numbers.

Least common multiple (LCM) of 105, 924, 490 is 32340.

LCM(105, 924, 490) = 32340

LCM of 105, 924, 490

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

Least Common Multiple of 105, 924, 490 by common division method
Least Common Multiple of 105, 924, 490 with GCF Formula

Least Common Multiple of 105,924,490

Least Common Multiple (LCM) of 105,924,490 is 32340

2	105, 924, 490
3	105, 462, 245
5	35, 154, 245
7	7, 154, 49
	1, 22, 7

∴ So the LCM of the given numbers is 2 x 3 x 5 x 7 x 1 x 22 x 7 = 32340

Least Common Multiple of 105,924,490 with GCF Formula

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

We need to calculate greatest common factor of 105,924,490 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(105,924,490) = 7

common factors(in case of two or more numbers have common factors) = 210

GCF(105,924,490) x common factors =7 x 210 = 1470

LCM(105,924,490) = ( 105 × 924 × 490 ) / 1470

LCM(105,924,490) = 47539800 / 1470

LCM(105,924,490) = 32340

∴ Least Common Multiple of 105,924,490 is 32340

LCM of two or more Numbers Calculation Examples

Here are some samples of LCM of two or more Numbers calculations.

Frequently Asked Questions on LCM of 105, 924, 490

1. What is the LCM of 105, 924, 490?

Answer: LCM of 105, 924, 490 is 32340.

2. What are the Factors of 32340?

Answer: Factors of 32340 are . There are integers that are factors of 32340

3. How to Find the LCM of 105, 924, 490 ?

Least Common Multiple of 105, 924, 490.

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(105, 924, 490) = 2 x 2 x 3 x 5 x 7 x 7 x 11 = 32340.