Least Common Multiple of 705/971, 890/493, 660/492

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 705/971, 890/493, 660/492 quickly i.e. 2760780 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 705/971, 890/493, 660/492 is 2760780.

LCM(705/971, 890/493, 660/492) = 2760780

LCM of 705/971, 890/493, 660/492

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

LCM of:

Least Common Multiple of 705/971,890/493,660/492

Given numbers are 705/971,890/493,660/492

Formula to find LCM of Fractions is

LCM = LCM of Numerators/GCF of Denominators

As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators

In the given fractions LCM of Numerators means LCM of 705,890,660

Least Common Multiple of Numerators i.e. LCM of 705,890,660 is 2760780.

GCF of Denominators means GCF of 971,493,492 as per the given fractions.

GCF of 971,493,492 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 705,890,660

LCM of Fractions 705/971,890/493,660/492 is 2760780

2 705, 890, 660
3 705, 445, 330
5 235, 445, 110
47, 89, 22

∴ So the LCM of the given numbers is 2 x 3 x 5 x 47 x 89 x 22 = 2760780

Least Common Multiple of 705,890,660 with GCF Formula

Least Common Multiple of 705,890,660 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 705,890,660 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(705,890,660) = 5

common factors(in case of two or more numbers have common factors) = 30

GCF(705,890,660) x common factors =5 x 30 = 150

LCM(705,890,660) = ( 705 × 890 × 660 ) / 150

LCM(705,890,660) = 414117000 / 150

LCM(705,890,660) = 2760780


Lets's calculate GCF of 971,493,492

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2760780/1

Therefore the LCM of Fractions 705/971,890/493,660/492 is 2760780

Greatest Common Factor of 971,493,492 By Matching Biggest Common Factor Method

Greatest Common Factor of 971,493,492 By Matching Biggest Common Factor Method

Factors of 971

List of positive integer factors of 971 that divides 971 without a remainder.

1,971

Factors of 493

List of positive integer factors of 493 that divides 493 without a remainder.

1,17,29,493

Factors of 492

List of positive integer factors of 492 that divides 492 without a remainder.

1,2,3,4,6,12,41,82,123,164,246,492

Greatest Common Factor

We found the factors 971,493,492 . The biggest common factor number is the GCF number.
So the greatest common factor 971,493,492 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 705/971, 890/493, 660/492

1. How to find LCM in Fractions?

Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.

2. What is the LCM of Fractions for 705/971, 890/493, 660/492?

Answer: LCM of Numerators as per given numbers 705/971, 890/493, 660/492 is

LCM of Numerators i.e. for 705,890,660 is 2760780

GCF of denominators i.e. for 971,493,492 is 1.

Thus, LCM of Fractions is 2760780.Finally, LCM of Fractions for 705/971, 890/493, 660/492 is 2760780.