Least Common Multiple of 868/70, 171/3134

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 868/70, 171/3134 quickly i.e. 74214 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 868/70, 171/3134 is 74214.

LCM(868/70, 171/3134) = 74214

LCM of 868/70, 171/3134

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 868/70,171/3134

Given numbers are 868/70,171/3134

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 868,171

Least Common Multiple of Numerators i.e. LCM of 868,171 is 148428.

GCF of Denominators means GCF of 70,3134 as per the given fractions.

GCF of 70,3134 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 868,171

LCM of Fractions 868/70,171/3134 is 74214

Given numbers has no common factors except 1. So, there LCM is their product i.e 148428

Least Common Multiple of 868,171 with GCF Formula

Least Common Multiple of 868,171 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 868,171 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(868,171) = 1

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

GCF(868,171) x common factors =1 x 1 = 1

LCM(868,171) = ( 868 × 171 ) / 1

LCM(868,171) = 148428 / 1

LCM(868,171) = 148428


Lets's calculate GCF of 70,3134

2 70, 3134
35, 1567

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 148428/2

Therefore the LCM of Fractions 868/70,171/3134 is 74214

Greatest Common Factor of 70,3134 By Matching Biggest Common Factor Method

Greatest Common Factor of 70,3134 By Matching Biggest Common Factor Method

Factors of 70

List of positive integer factors of 70 that divides 70 without a remainder.

1,2,5,7,10,14,35,70

Factors of 3134

List of positive integer factors of 3134 that divides 3134 without a remainder.

1,2,1567,3134

Greatest Common Factor

We found the factors 70,3134 . The biggest common factor number is the GCF number.
So the greatest common factor 70,3134 is 2.


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 868/70, 171/3134

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 868/70, 171/3134?

Answer: LCM of Numerators as per given numbers 868/70, 171/3134 is

LCM of Numerators i.e. for 868,171 is 148428

GCF of denominators i.e. for 70,3134 is 2.

Thus, LCM of Fractions is 74214.Finally, LCM of Fractions for 868/70, 171/3134 is 74214.