Least Common Multiple of 986, 748

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 986, 748 i.e. 21692 smallest integer divisible by all numbers.

Least common multiple (LCM) of 986, 748 is 21692.

LCM(986, 748) = 21692

LCM of 986, 748

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

LCM of:

Least Common Multiple of 986,748

Least Common Multiple (LCM) of 986,748 is 21692

2 986, 748
17 493, 374
29, 22

∴ So the LCM of the given numbers is 2 x 17 x 29 x 22 = 21692

Least Common Multiple of 986,748 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 986,748 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(986,748) = 34

common factors(in case of two or more numbers have common factors) = 1

GCF(986,748) x common factors =34 x 1 = 34

LCM(986,748) = ( 986 × 748 ) / 34

LCM(986,748) = 737528 / 34

LCM(986,748) = 21692

∴ Least Common Multiple of 986,748 is 21692

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 986, 748

1. What is the LCM of 986, 748?

Answer: LCM of 986, 748 is 21692.

2. What are the Factors of 21692?

Answer: Factors of 21692 are . There are integers that are factors of 21692

3. How to Find the LCM of 986, 748 ?

Least Common Multiple of 986, 748.

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(986, 748) = 2 x 2 x 11 x 17 x 29 = 21692.