Least Common Multiple of 689, 742, 910

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 689, 742, 910 i.e. 48230 smallest integer divisible by all numbers.

Least common multiple (LCM) of 689, 742, 910 is 48230.

LCM(689, 742, 910) = 48230

LCM of 689, 742, 910

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

LCM of:

Least Common Multiple of 689,742,910

Least Common Multiple (LCM) of 689,742,910 is 48230

2 689, 742, 910
7 689, 371, 455
13 689, 53, 65
53 53, 53, 5
1, 1, 5

∴ So the LCM of the given numbers is 2 x 7 x 13 x 53 x 1 x 1 x 5 = 48230

Least Common Multiple of 689,742,910 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 689,742,910 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(689,742,910) = 1

common factors(in case of two or more numbers have common factors) = 9646

GCF(689,742,910) x common factors =1 x 9646 = 9646

LCM(689,742,910) = ( 689 × 742 × 910 ) / 9646

LCM(689,742,910) = 465226580 / 9646

LCM(689,742,910) = 48230

∴ Least Common Multiple of 689,742,910 is 48230

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 689, 742, 910

1. What is the LCM of 689, 742, 910?

Answer: LCM of 689, 742, 910 is 48230.

2. What are the Factors of 48230?

Answer: Factors of 48230 are . There are integers that are factors of 48230

3. How to Find the LCM of 689, 742, 910 ?

Least Common Multiple of 689, 742, 910.

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(689, 742, 910) = 2 x 5 x 7 x 13 x 53 = 48230.