Least Common Multiple of 70/54, 30/90, 96/27, 28/49

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 70/54, 30/90, 96/27, 28/49 quickly i.e. 3360 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 70/54, 30/90, 96/27, 28/49 is 3360.

LCM(70/54, 30/90, 96/27, 28/49) = 3360

LCM of 70/54, 30/90, 96/27, 28/49

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 70/54,30/90,96/27,28/49

Given numbers are 70/54,30/90,96/27,28/49

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 70,30,96,28

Least Common Multiple of Numerators i.e. LCM of 70,30,96,28 is 3360.

GCF of Denominators means GCF of 54,90,27,49 as per the given fractions.

GCF of 54,90,27,49 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 70,30,96,28

LCM of Fractions 70/54,30/90,96/27,28/49 is 3360

2 70, 30, 96, 28
2 35, 15, 48, 14
3 35, 15, 24, 7
5 35, 5, 8, 7
7 7, 1, 8, 7
1, 1, 8, 1

∴ So the LCM of the given numbers is 2 x 2 x 3 x 5 x 7 x 1 x 1 x 8 x 1 = 3360

Least Common Multiple of 70,30,96,28 with GCF Formula

Least Common Multiple of 70,30,96,28 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 70,30,96,28 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(70,30,96,28) = 2

common factors(in case of two or more numbers have common factors) = 840

GCF(70,30,96,28) x common factors =2 x 840 = 1680

LCM(70,30,96,28) = ( 70 × 30 × 96 × 28 ) / 1680

LCM(70,30,96,28) = 5644800 / 1680

LCM(70,30,96,28) = 3360


Lets's calculate GCF of 54,90,27,49

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3360/1

Therefore the LCM of Fractions 70/54,30/90,96/27,28/49 is 3360

Greatest Common Factor of 54,90,27,49 By Matching Biggest Common Factor Method

Greatest Common Factor of 54,90,27,49 By Matching Biggest Common Factor Method

Factors of 54

List of positive integer factors of 54 that divides 54 without a remainder.

1,2,3,6,9,18,27,54

Factors of 90

List of positive integer factors of 90 that divides 90 without a remainder.

1,2,3,5,6,9,10,15,18,30,45,90

Factors of 27

List of positive integer factors of 27 that divides 27 without a remainder.

1,3,9,27

Factors of 49

List of positive integer factors of 49 that divides 49 without a remainder.

1,7,49

Greatest Common Factor

We found the factors 54,90,27,49 . The biggest common factor number is the GCF number.
So the greatest common factor 54,90,27,49 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 70/54, 30/90, 96/27, 28/49

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 70/54, 30/90, 96/27, 28/49?

Answer: LCM of Numerators as per given numbers 70/54, 30/90, 96/27, 28/49 is

LCM of Numerators i.e. for 70,30,96,28 is 3360

GCF of denominators i.e. for 54,90,27,49 is 1.

Thus, LCM of Fractions is 3360.Finally, LCM of Fractions for 70/54, 30/90, 96/27, 28/49 is 3360.