Least Common Multiple of 70/240, 48/907, 114/415

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 70/240, 48/907, 114/415 quickly i.e. 31920 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 70/240, 48/907, 114/415 is 31920.

LCM(70/240, 48/907, 114/415) = 31920

LCM of 70/240, 48/907, 114/415

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 70/240,48/907,114/415

Given numbers are 70/240,48/907,114/415

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 70,48,114

Least Common Multiple of Numerators i.e. LCM of 70,48,114 is 31920.

GCF of Denominators means GCF of 240,907,415 as per the given fractions.

GCF of 240,907,415 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 70,48,114

LCM of Fractions 70/240,48/907,114/415 is 31920

2 70, 48, 114
3 35, 24, 57
35, 8, 19

∴ So the LCM of the given numbers is 2 x 3 x 35 x 8 x 19 = 31920

Least Common Multiple of 70,48,114 with GCF Formula

Least Common Multiple of 70,48,114 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 70,48,114 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(70,48,114) = 2

common factors(in case of two or more numbers have common factors) = 6

GCF(70,48,114) x common factors =2 x 6 = 12

LCM(70,48,114) = ( 70 × 48 × 114 ) / 12

LCM(70,48,114) = 383040 / 12

LCM(70,48,114) = 31920


Lets's calculate GCF of 240,907,415

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 31920/1

Therefore the LCM of Fractions 70/240,48/907,114/415 is 31920

Greatest Common Factor of 240,907,415 By Matching Biggest Common Factor Method

Greatest Common Factor of 240,907,415 By Matching Biggest Common Factor Method

Factors of 240

List of positive integer factors of 240 that divides 240 without a remainder.

1,2,3,4,5,6,8,10,12,15,16,20,24,30,40,48,60,80,120,240

Factors of 907

List of positive integer factors of 907 that divides 907 without a remainder.

1,907

Factors of 415

List of positive integer factors of 415 that divides 415 without a remainder.

1,5,83,415

Greatest Common Factor

We found the factors 240,907,415 . The biggest common factor number is the GCF number.
So the greatest common factor 240,907,415 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 70/240, 48/907, 114/415

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 70/240, 48/907, 114/415?

Answer: LCM of Numerators as per given numbers 70/240, 48/907, 114/415 is

LCM of Numerators i.e. for 70,48,114 is 31920

GCF of denominators i.e. for 240,907,415 is 1.

Thus, LCM of Fractions is 31920.Finally, LCM of Fractions for 70/240, 48/907, 114/415 is 31920.