Least Common Multiple of 685/678, 142/940, 685/181

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 685/678, 142/940, 685/181 quickly i.e. 97270 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 685/678, 142/940, 685/181 is 97270.

LCM(685/678, 142/940, 685/181) = 97270

LCM of 685/678, 142/940, 685/181

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 685/678,142/940,685/181

Given numbers are 685/678,142/940,685/181

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 685,142,685

Least Common Multiple of Numerators i.e. LCM of 685,142,685 is 97270.

GCF of Denominators means GCF of 678,940,181 as per the given fractions.

GCF of 678,940,181 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 685,142,685

LCM of Fractions 685/678,142/940,685/181 is 97270

5 685, 142, 685
137 137, 142, 137
1, 142, 1

∴ So the LCM of the given numbers is 5 x 137 x 1 x 142 x 1 = 97270

Least Common Multiple of 685,142,685 with GCF Formula

Least Common Multiple of 685,142,685 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 685,142,685 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(685,142,685) = 1

common factors(in case of two or more numbers have common factors) = 685

GCF(685,142,685) x common factors =1 x 685 = 685

LCM(685,142,685) = ( 685 × 142 × 685 ) / 685

LCM(685,142,685) = 66629950 / 685

LCM(685,142,685) = 97270


Lets's calculate GCF of 678,940,181

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 97270/1

Therefore the LCM of Fractions 685/678,142/940,685/181 is 97270

Greatest Common Factor of 678,940,181 By Matching Biggest Common Factor Method

Greatest Common Factor of 678,940,181 By Matching Biggest Common Factor Method

Factors of 678

List of positive integer factors of 678 that divides 678 without a remainder.

1,2,3,6,113,226,339,678

Factors of 940

List of positive integer factors of 940 that divides 940 without a remainder.

1,2,4,5,10,20,47,94,188,235,470,940

Factors of 181

List of positive integer factors of 181 that divides 181 without a remainder.

1,181

Greatest Common Factor

We found the factors 678,940,181 . The biggest common factor number is the GCF number.
So the greatest common factor 678,940,181 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 685/678, 142/940, 685/181

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 685/678, 142/940, 685/181?

Answer: LCM of Numerators as per given numbers 685/678, 142/940, 685/181 is

LCM of Numerators i.e. for 685,142,685 is 97270

GCF of denominators i.e. for 678,940,181 is 1.

Thus, LCM of Fractions is 97270.Finally, LCM of Fractions for 685/678, 142/940, 685/181 is 97270.