Least Common Multiple of 87/339, 407/968, 148/868

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 87/339, 407/968, 148/868 quickly i.e. 141636 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 87/339, 407/968, 148/868 is 141636.

LCM(87/339, 407/968, 148/868) = 141636

LCM of 87/339, 407/968, 148/868

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 87/339,407/968,148/868

Given numbers are 87/339,407/968,148/868

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 87,407,148

Least Common Multiple of Numerators i.e. LCM of 87,407,148 is 141636.

GCF of Denominators means GCF of 339,968,868 as per the given fractions.

GCF of 339,968,868 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 87,407,148

LCM of Fractions 87/339,407/968,148/868 is 141636

37 87, 407, 148
87, 11, 4

∴ So the LCM of the given numbers is 37 x 87 x 11 x 4 = 141636

Least Common Multiple of 87,407,148 with GCF Formula

Least Common Multiple of 87,407,148 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 87,407,148 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(87,407,148) = 1

common factors(in case of two or more numbers have common factors) = 37

GCF(87,407,148) x common factors =1 x 37 = 37

LCM(87,407,148) = ( 87 × 407 × 148 ) / 37

LCM(87,407,148) = 5240532 / 37

LCM(87,407,148) = 141636


Lets's calculate GCF of 339,968,868

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 141636/1

Therefore the LCM of Fractions 87/339,407/968,148/868 is 141636

Greatest Common Factor of 339,968,868 By Matching Biggest Common Factor Method

Greatest Common Factor of 339,968,868 By Matching Biggest Common Factor Method

Factors of 339

List of positive integer factors of 339 that divides 339 without a remainder.

1,3,113,339

Factors of 968

List of positive integer factors of 968 that divides 968 without a remainder.

1,2,4,8,11,22,44,88,121,242,484,968

Factors of 868

List of positive integer factors of 868 that divides 868 without a remainder.

1,2,4,7,14,28,31,62,124,217,434,868

Greatest Common Factor

We found the factors 339,968,868 . The biggest common factor number is the GCF number.
So the greatest common factor 339,968,868 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 87/339, 407/968, 148/868

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 87/339, 407/968, 148/868?

Answer: LCM of Numerators as per given numbers 87/339, 407/968, 148/868 is

LCM of Numerators i.e. for 87,407,148 is 141636

GCF of denominators i.e. for 339,968,868 is 1.

Thus, LCM of Fractions is 141636.Finally, LCM of Fractions for 87/339, 407/968, 148/868 is 141636.