Least Common Multiple of 45/31, 95/16, 70/20, 48/402

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 45/31, 95/16, 70/20, 48/402 quickly i.e. 95760 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 45/31, 95/16, 70/20, 48/402 is 95760.

LCM(45/31, 95/16, 70/20, 48/402) = 95760

LCM of 45/31, 95/16, 70/20, 48/402

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 45/31,95/16,70/20,48/402

Given numbers are 45/31,95/16,70/20,48/402

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 45,95,70,48

Least Common Multiple of Numerators i.e. LCM of 45,95,70,48 is 95760.

GCF of Denominators means GCF of 31,16,20,402 as per the given fractions.

GCF of 31,16,20,402 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 45,95,70,48

LCM of Fractions 45/31,95/16,70/20,48/402 is 95760

2 45, 95, 70, 48
3 45, 95, 35, 24
5 15, 95, 35, 8
3, 19, 7, 8

∴ So the LCM of the given numbers is 2 x 3 x 5 x 3 x 19 x 7 x 8 = 95760

Least Common Multiple of 45,95,70,48 with GCF Formula

Least Common Multiple of 45,95,70,48 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 45,95,70,48 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(45,95,70,48) = 1

common factors(in case of two or more numbers have common factors) = 150

GCF(45,95,70,48) x common factors =1 x 150 = 150

LCM(45,95,70,48) = ( 45 × 95 × 70 × 48 ) / 150

LCM(45,95,70,48) = 14364000 / 150

LCM(45,95,70,48) = 95760


Lets's calculate GCF of 31,16,20,402

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 95760/1

Therefore the LCM of Fractions 45/31,95/16,70/20,48/402 is 95760

Greatest Common Factor of 31,16,20,402 By Matching Biggest Common Factor Method

Greatest Common Factor of 31,16,20,402 By Matching Biggest Common Factor Method

Factors of 31

List of positive integer factors of 31 that divides 31 without a remainder.

1,31

Factors of 16

List of positive integer factors of 16 that divides 16 without a remainder.

1,2,4,8,16

Factors of 20

List of positive integer factors of 20 that divides 20 without a remainder.

1,2,4,5,10,20

Factors of 402

List of positive integer factors of 402 that divides 402 without a remainder.

1,2,3,6,67,134,201,402

Greatest Common Factor

We found the factors 31,16,20,402 . The biggest common factor number is the GCF number.
So the greatest common factor 31,16,20,402 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 45/31, 95/16, 70/20, 48/402

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 45/31, 95/16, 70/20, 48/402?

Answer: LCM of Numerators as per given numbers 45/31, 95/16, 70/20, 48/402 is

LCM of Numerators i.e. for 45,95,70,48 is 95760

GCF of denominators i.e. for 31,16,20,402 is 1.

Thus, LCM of Fractions is 95760.Finally, LCM of Fractions for 45/31, 95/16, 70/20, 48/402 is 95760.