Least Common Multiple of 854/156, 770/910

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 854/156, 770/910 quickly i.e. 46970/26 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 854/156, 770/910 is 46970/26.

LCM(854/156, 770/910) = 46970/26

LCM of 854/156, 770/910

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 854/156,770/910

Given numbers are 854/156,770/910

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 854,770

Least Common Multiple of Numerators i.e. LCM of 854,770 is 46970.

GCF of Denominators means GCF of 156,910 as per the given fractions.

GCF of 156,910 is 26 as it is the largest common factor for these numbers.

Lets's calculate LCM of 854,770

LCM of Fractions 854/156,770/910 is 46970/26

2 854, 770
7 427, 385
61, 55

∴ So the LCM of the given numbers is 2 x 7 x 61 x 55 = 46970

Least Common Multiple of 854,770 with GCF Formula

Least Common Multiple of 854,770 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 854,770 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(854,770) = 14

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

GCF(854,770) x common factors =14 x 1 = 14

LCM(854,770) = ( 854 × 770 ) / 14

LCM(854,770) = 657580 / 14

LCM(854,770) = 46970


Lets's calculate GCF of 156,910

2 156, 910
13 78, 455
6, 35

∴ So the GCF of the given numbers is 2 x 13 = 26

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 46970/26

Therefore the LCM of Fractions 854/156,770/910 is 46970/26

Greatest Common Factor of 156,910 By Matching Biggest Common Factor Method

Greatest Common Factor of 156,910 By Matching Biggest Common Factor Method

Factors of 156

List of positive integer factors of 156 that divides 156 without a remainder.

1,2,3,4,6,12,13,26,39,52,78,156

Factors of 910

List of positive integer factors of 910 that divides 910 without a remainder.

1,2,5,7,10,13,14,26,35,65,70,91,130,182,455,910

Greatest Common Factor

We found the factors 156,910 . The biggest common factor number is the GCF number.
So the greatest common factor 156,910 is 26.


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 854/156, 770/910

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 854/156, 770/910?

Answer: LCM of Numerators as per given numbers 854/156, 770/910 is

LCM of Numerators i.e. for 854,770 is 46970

GCF of denominators i.e. for 156,910 is 26.

Thus, LCM of Fractions is 46970/26.Finally, LCM of Fractions for 854/156, 770/910 is 46970/26.