Least Common Multiple of 426, 780, 17

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 426, 780, 17 i.e. 941460 smallest integer divisible by all numbers.

Least common multiple (LCM) of 426, 780, 17 is 941460.

LCM(426, 780, 17) = 941460

LCM of 426, 780, 17

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

LCM of:

Least Common Multiple of 426,780,17

Least Common Multiple (LCM) of 426,780,17 is 941460

2 426, 780, 17
3 213, 390, 17
71, 130, 17

∴ So the LCM of the given numbers is 2 x 3 x 71 x 130 x 17 = 941460

Least Common Multiple of 426,780,17 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 426,780,17 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(426,780,17) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(426,780,17) x common factors =1 x 6 = 6

LCM(426,780,17) = ( 426 × 780 × 17 ) / 6

LCM(426,780,17) = 5648760 / 6

LCM(426,780,17) = 941460

∴ Least Common Multiple of 426,780,17 is 941460

LCM of two or more Numbers Calculation Examples

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Frequently Asked Questions on LCM of 426, 780, 17

1. What is the LCM of 426, 780, 17?

Answer: LCM of 426, 780, 17 is 941460.

2. What are the Factors of 941460?

Answer: Factors of 941460 are . There are integers that are factors of 941460

3. How to Find the LCM of 426, 780, 17 ?

Least Common Multiple of 426, 780, 17.

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(426, 780, 17) = 2 x 2 x 3 x 5 x 13 x 17 x 71 = 941460.