Least Common Multiple of 70/896, 297/109, 462/779

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 70/896, 297/109, 462/779 quickly i.e. 20790 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 70/896, 297/109, 462/779 is 20790.

LCM(70/896, 297/109, 462/779) = 20790

LCM of 70/896, 297/109, 462/779

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 70/896,297/109,462/779

Given numbers are 70/896,297/109,462/779

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 70,297,462

Least Common Multiple of Numerators i.e. LCM of 70,297,462 is 20790.

GCF of Denominators means GCF of 896,109,779 as per the given fractions.

GCF of 896,109,779 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 70,297,462

LCM of Fractions 70/896,297/109,462/779 is 20790

2 70, 297, 462
3 35, 297, 231
7 35, 99, 77
11 5, 99, 11
5, 9, 1

∴ So the LCM of the given numbers is 2 x 3 x 7 x 11 x 5 x 9 x 1 = 20790

Least Common Multiple of 70,297,462 with GCF Formula

Least Common Multiple of 70,297,462 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 70,297,462 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(70,297,462) = 1

common factors(in case of two or more numbers have common factors) = 462

GCF(70,297,462) x common factors =1 x 462 = 462

LCM(70,297,462) = ( 70 × 297 × 462 ) / 462

LCM(70,297,462) = 9604980 / 462

LCM(70,297,462) = 20790


Lets's calculate GCF of 896,109,779

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 20790/1

Therefore the LCM of Fractions 70/896,297/109,462/779 is 20790

Greatest Common Factor of 896,109,779 By Matching Biggest Common Factor Method

Greatest Common Factor of 896,109,779 By Matching Biggest Common Factor Method

Factors of 896

List of positive integer factors of 896 that divides 896 without a remainder.

1,2,4,7,8,14,16,28,32,56,64,112,128,224,448,896

Factors of 109

List of positive integer factors of 109 that divides 109 without a remainder.

1,109

Factors of 779

List of positive integer factors of 779 that divides 779 without a remainder.

1,19,41,779

Greatest Common Factor

We found the factors 896,109,779 . The biggest common factor number is the GCF number.
So the greatest common factor 896,109,779 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 70/896, 297/109, 462/779

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 70/896, 297/109, 462/779?

Answer: LCM of Numerators as per given numbers 70/896, 297/109, 462/779 is

LCM of Numerators i.e. for 70,297,462 is 20790

GCF of denominators i.e. for 896,109,779 is 1.

Thus, LCM of Fractions is 20790.Finally, LCM of Fractions for 70/896, 297/109, 462/779 is 20790.