Least Common Multiple of 54/78, 54/96, 84/74, 61/824

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 54/78, 54/96, 84/74, 61/824 quickly i.e. 23058 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 54/78, 54/96, 84/74, 61/824 is 23058.

LCM(54/78, 54/96, 84/74, 61/824) = 23058

LCM of 54/78, 54/96, 84/74, 61/824

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 54/78,54/96,84/74,61/824

Given numbers are 54/78,54/96,84/74,61/824

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 54,54,84,61

Least Common Multiple of Numerators i.e. LCM of 54,54,84,61 is 46116.

GCF of Denominators means GCF of 78,96,74,824 as per the given fractions.

GCF of 78,96,74,824 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 54,54,84,61

LCM of Fractions 54/78,54/96,84/74,61/824 is 23058

2 54, 54, 84, 61
3 27, 27, 42, 61
3 9, 9, 14, 61
3 3, 3, 14, 61
1, 1, 14, 61

∴ So the LCM of the given numbers is 2 x 3 x 3 x 3 x 1 x 1 x 14 x 61 = 46116

Least Common Multiple of 54,54,84,61 with GCF Formula

Least Common Multiple of 54,54,84,61 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 54,54,84,61 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(54,54,84,61) = 1

common factors(in case of two or more numbers have common factors) = 324

GCF(54,54,84,61) x common factors =1 x 324 = 324

LCM(54,54,84,61) = ( 54 × 54 × 84 × 61 ) / 324

LCM(54,54,84,61) = 14941584 / 324

LCM(54,54,84,61) = 46116


Lets's calculate GCF of 78,96,74,824

2 78, 96, 74, 824
39, 48, 37, 412

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 46116/2

Therefore the LCM of Fractions 54/78,54/96,84/74,61/824 is 23058

Greatest Common Factor of 78,96,74,824 By Matching Biggest Common Factor Method

Greatest Common Factor of 78,96,74,824 By Matching Biggest Common Factor Method

Factors of 78

List of positive integer factors of 78 that divides 78 without a remainder.

1,2,3,6,13,26,39,78

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 74

List of positive integer factors of 74 that divides 74 without a remainder.

1,2,37,74

Factors of 824

List of positive integer factors of 824 that divides 824 without a remainder.

1,2,4,8,103,206,412,824

Greatest Common Factor

We found the factors 78,96,74,824 . The biggest common factor number is the GCF number.
So the greatest common factor 78,96,74,824 is 2.


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 54/78, 54/96, 84/74, 61/824

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 54/78, 54/96, 84/74, 61/824?

Answer: LCM of Numerators as per given numbers 54/78, 54/96, 84/74, 61/824 is

LCM of Numerators i.e. for 54,54,84,61 is 46116

GCF of denominators i.e. for 78,96,74,824 is 2.

Thus, LCM of Fractions is 23058.Finally, LCM of Fractions for 54/78, 54/96, 84/74, 61/824 is 23058.