Least Common Multiple of 678/569, 167/910, 232/140

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 678/569, 167/910, 232/140 quickly i.e. 13134216 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 678/569, 167/910, 232/140 is 13134216.

LCM(678/569, 167/910, 232/140) = 13134216

LCM of 678/569, 167/910, 232/140

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 678/569,167/910,232/140

Given numbers are 678/569,167/910,232/140

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 678,167,232

Least Common Multiple of Numerators i.e. LCM of 678,167,232 is 13134216.

GCF of Denominators means GCF of 569,910,140 as per the given fractions.

GCF of 569,910,140 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 678,167,232

LCM of Fractions 678/569,167/910,232/140 is 13134216

2 678, 167, 232
339, 167, 116

∴ So the LCM of the given numbers is 2 x 339 x 167 x 116 = 13134216

Least Common Multiple of 678,167,232 with GCF Formula

Least Common Multiple of 678,167,232 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 678,167,232 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(678,167,232) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(678,167,232) x common factors =1 x 2 = 2

LCM(678,167,232) = ( 678 × 167 × 232 ) / 2

LCM(678,167,232) = 26268432 / 2

LCM(678,167,232) = 13134216


Lets's calculate GCF of 569,910,140

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 13134216/1

Therefore the LCM of Fractions 678/569,167/910,232/140 is 13134216

Greatest Common Factor of 569,910,140 By Matching Biggest Common Factor Method

Greatest Common Factor of 569,910,140 By Matching Biggest Common Factor Method

Factors of 569

List of positive integer factors of 569 that divides 569 without a remainder.

1,569

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

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 569,910,140 . The biggest common factor number is the GCF number.
So the greatest common factor 569,910,140 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 678/569, 167/910, 232/140

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 678/569, 167/910, 232/140?

Answer: LCM of Numerators as per given numbers 678/569, 167/910, 232/140 is

LCM of Numerators i.e. for 678,167,232 is 13134216

GCF of denominators i.e. for 569,910,140 is 1.

Thus, LCM of Fractions is 13134216.Finally, LCM of Fractions for 678/569, 167/910, 232/140 is 13134216.