Least Common Multiple of 240/39, 175/48, 678/311

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 240/39, 175/48, 678/311 quickly i.e. 949200 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 240/39, 175/48, 678/311 is 949200.

LCM(240/39, 175/48, 678/311) = 949200

LCM of 240/39, 175/48, 678/311

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 240/39,175/48,678/311

Given numbers are 240/39,175/48,678/311

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 240,175,678

Least Common Multiple of Numerators i.e. LCM of 240,175,678 is 949200.

GCF of Denominators means GCF of 39,48,311 as per the given fractions.

GCF of 39,48,311 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 240,175,678

LCM of Fractions 240/39,175/48,678/311 is 949200

2 240, 175, 678
3 120, 175, 339
5 40, 175, 113
8, 35, 113

∴ So the LCM of the given numbers is 2 x 3 x 5 x 8 x 35 x 113 = 949200

Least Common Multiple of 240,175,678 with GCF Formula

Least Common Multiple of 240,175,678 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 240,175,678 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(240,175,678) = 1

common factors(in case of two or more numbers have common factors) = 30

GCF(240,175,678) x common factors =1 x 30 = 30

LCM(240,175,678) = ( 240 × 175 × 678 ) / 30

LCM(240,175,678) = 28476000 / 30

LCM(240,175,678) = 949200


Lets's calculate GCF of 39,48,311

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 949200/1

Therefore the LCM of Fractions 240/39,175/48,678/311 is 949200

Greatest Common Factor of 39,48,311 By Matching Biggest Common Factor Method

Greatest Common Factor of 39,48,311 By Matching Biggest Common Factor Method

Factors of 39

List of positive integer factors of 39 that divides 39 without a remainder.

1,3,13,39

Factors of 48

List of positive integer factors of 48 that divides 48 without a remainder.

1,2,3,4,6,8,12,16,24,48

Factors of 311

List of positive integer factors of 311 that divides 311 without a remainder.

1,311

Greatest Common Factor

We found the factors 39,48,311 . The biggest common factor number is the GCF number.
So the greatest common factor 39,48,311 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 240/39, 175/48, 678/311

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 240/39, 175/48, 678/311?

Answer: LCM of Numerators as per given numbers 240/39, 175/48, 678/311 is

LCM of Numerators i.e. for 240,175,678 is 949200

GCF of denominators i.e. for 39,48,311 is 1.

Thus, LCM of Fractions is 949200.Finally, LCM of Fractions for 240/39, 175/48, 678/311 is 949200.