Least Common Multiple of 77/53, 88/30, 43/96, 48/540

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 77/53, 88/30, 43/96, 48/540 quickly i.e. 158928 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 77/53, 88/30, 43/96, 48/540 is 158928.

LCM(77/53, 88/30, 43/96, 48/540) = 158928

LCM of 77/53, 88/30, 43/96, 48/540

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 77/53,88/30,43/96,48/540

Given numbers are 77/53,88/30,43/96,48/540

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 77,88,43,48

Least Common Multiple of Numerators i.e. LCM of 77,88,43,48 is 158928.

GCF of Denominators means GCF of 53,30,96,540 as per the given fractions.

GCF of 53,30,96,540 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 77,88,43,48

LCM of Fractions 77/53,88/30,43/96,48/540 is 158928

2 77, 88, 43, 48
2 77, 44, 43, 24
2 77, 22, 43, 12
11 77, 11, 43, 6
7, 1, 43, 6

∴ So the LCM of the given numbers is 2 x 2 x 2 x 11 x 7 x 1 x 43 x 6 = 158928

Least Common Multiple of 77,88,43,48 with GCF Formula

Least Common Multiple of 77,88,43,48 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 77,88,43,48 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(77,88,43,48) = 1

common factors(in case of two or more numbers have common factors) = 88

GCF(77,88,43,48) x common factors =1 x 88 = 88

LCM(77,88,43,48) = ( 77 × 88 × 43 × 48 ) / 88

LCM(77,88,43,48) = 13985664 / 88

LCM(77,88,43,48) = 158928


Lets's calculate GCF of 53,30,96,540

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 158928/1

Therefore the LCM of Fractions 77/53,88/30,43/96,48/540 is 158928

Greatest Common Factor of 53,30,96,540 By Matching Biggest Common Factor Method

Greatest Common Factor of 53,30,96,540 By Matching Biggest Common Factor Method

Factors of 53

List of positive integer factors of 53 that divides 53 without a remainder.

1,53

Factors of 30

List of positive integer factors of 30 that divides 30 without a remainder.

1,2,3,5,6,10,15,30

Factors of 96

List of positive integer factors of 96 that divides 96 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,96

Factors of 540

List of positive integer factors of 540 that divides 540 without a remainder.

1,2,3,4,5,6,9,10,12,15,18,20,27,30,36,45,54,60,90,108,135,180,270,540

Greatest Common Factor

We found the factors 53,30,96,540 . The biggest common factor number is the GCF number.
So the greatest common factor 53,30,96,540 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 77/53, 88/30, 43/96, 48/540

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 77/53, 88/30, 43/96, 48/540?

Answer: LCM of Numerators as per given numbers 77/53, 88/30, 43/96, 48/540 is

LCM of Numerators i.e. for 77,88,43,48 is 158928

GCF of denominators i.e. for 53,30,96,540 is 1.

Thus, LCM of Fractions is 158928.Finally, LCM of Fractions for 77/53, 88/30, 43/96, 48/540 is 158928.