Least Common Multiple of 854/280, 846/140

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 854/280, 846/140 quickly i.e. 361242/140 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 854/280, 846/140 is 361242/140.

LCM(854/280, 846/140) = 361242/140

LCM of 854/280, 846/140

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 854/280,846/140

Given numbers are 854/280,846/140

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 854,846

Least Common Multiple of Numerators i.e. LCM of 854,846 is 361242.

GCF of Denominators means GCF of 280,140 as per the given fractions.

GCF of 280,140 is 140 as it is the largest common factor for these numbers.

Lets's calculate LCM of 854,846

LCM of Fractions 854/280,846/140 is 361242/140

2 854, 846
427, 423

∴ So the LCM of the given numbers is 2 x 427 x 423 = 361242

Least Common Multiple of 854,846 with GCF Formula

Least Common Multiple of 854,846 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 854,846 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(854,846) = 2

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

GCF(854,846) x common factors =2 x 1 = 2

LCM(854,846) = ( 854 × 846 ) / 2

LCM(854,846) = 722484 / 2

LCM(854,846) = 361242


Lets's calculate GCF of 280,140

2 280, 140
2 140, 70
5 35, 70
7 7, 14
1, 2

∴ So the GCF of the given numbers is 2 x 2 x 5 x 7 = 140

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 361242/140

Therefore the LCM of Fractions 854/280,846/140 is 361242/140

Greatest Common Factor of 280,140 By Matching Biggest Common Factor Method

Greatest Common Factor of 280,140 By Matching Biggest Common Factor Method

Factors of 280

List of positive integer factors of 280 that divides 280 without a remainder.

1,2,4,5,7,8,10,14,20,28,35,40,56,70,140,280

Factors of 140

List of positive integer factors of 140 that divides 140 without a remainder.

1,2,4,5,7,10,14,20,28,35,70,140

Greatest Common Factor

We found the factors 280,140 . The biggest common factor number is the GCF number.
So the greatest common factor 280,140 is 140.


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 854/280, 846/140

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 854/280, 846/140?

Answer: LCM of Numerators as per given numbers 854/280, 846/140 is

LCM of Numerators i.e. for 854,846 is 361242

GCF of denominators i.e. for 280,140 is 140.

Thus, LCM of Fractions is 361242/140.Finally, LCM of Fractions for 854/280, 846/140 is 361242/140.