Least Common Multiple of 35, 21, 894

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 35, 21, 894 i.e. 31290 smallest integer divisible by all numbers.

Least common multiple (LCM) of 35, 21, 894 is 31290.

LCM(35, 21, 894) = 31290

LCM of 35, 21, 894

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

LCM of:

Least Common Multiple of 35,21,894

Least Common Multiple (LCM) of 35,21,894 is 31290

3 35, 21, 894
7 35, 7, 298
5, 1, 298

∴ So the LCM of the given numbers is 3 x 7 x 5 x 1 x 298 = 31290

Least Common Multiple of 35,21,894 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 35,21,894 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(35,21,894) = 1

common factors(in case of two or more numbers have common factors) = 21

GCF(35,21,894) x common factors =1 x 21 = 21

LCM(35,21,894) = ( 35 × 21 × 894 ) / 21

LCM(35,21,894) = 657090 / 21

LCM(35,21,894) = 31290

∴ Least Common Multiple of 35,21,894 is 31290

LCM of two or more Numbers Calculation Examples

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Frequently Asked Questions on LCM of 35, 21, 894

1. What is the LCM of 35, 21, 894?

Answer: LCM of 35, 21, 894 is 31290.

2. What are the Factors of 31290?

Answer: Factors of 31290 are . There are integers that are factors of 31290

3. How to Find the LCM of 35, 21, 894 ?

Least Common Multiple of 35, 21, 894.

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(35, 21, 894) = 2 x 3 x 5 x 7 x 149 = 31290.