Least Common Multiple of 77/23, 57/88, 96/69, 46/138

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 77/23, 57/88, 96/69, 46/138 quickly i.e. 3230304 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 77/23, 57/88, 96/69, 46/138 is 3230304.

LCM(77/23, 57/88, 96/69, 46/138) = 3230304

LCM of 77/23, 57/88, 96/69, 46/138

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 77/23,57/88,96/69,46/138

Given numbers are 77/23,57/88,96/69,46/138

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 77,57,96,46

Least Common Multiple of Numerators i.e. LCM of 77,57,96,46 is 3230304.

GCF of Denominators means GCF of 23,88,69,138 as per the given fractions.

GCF of 23,88,69,138 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 77,57,96,46

LCM of Fractions 77/23,57/88,96/69,46/138 is 3230304

2 77, 57, 96, 46
3 77, 57, 48, 23
77, 19, 16, 23

∴ So the LCM of the given numbers is 2 x 3 x 77 x 19 x 16 x 23 = 3230304

Least Common Multiple of 77,57,96,46 with GCF Formula

Least Common Multiple of 77,57,96,46 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 77,57,96,46 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(77,57,96,46) = 1

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

GCF(77,57,96,46) x common factors =1 x 6 = 6

LCM(77,57,96,46) = ( 77 × 57 × 96 × 46 ) / 6

LCM(77,57,96,46) = 19381824 / 6

LCM(77,57,96,46) = 3230304


Lets's calculate GCF of 23,88,69,138

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3230304/1

Therefore the LCM of Fractions 77/23,57/88,96/69,46/138 is 3230304

Greatest Common Factor of 23,88,69,138 By Matching Biggest Common Factor Method

Greatest Common Factor of 23,88,69,138 By Matching Biggest Common Factor Method

Factors of 23

List of positive integer factors of 23 that divides 23 without a remainder.

1,23

Factors of 88

List of positive integer factors of 88 that divides 88 without a remainder.

1,2,4,8,11,22,44,88

Factors of 69

List of positive integer factors of 69 that divides 69 without a remainder.

1,3,23,69

Factors of 138

List of positive integer factors of 138 that divides 138 without a remainder.

1,2,3,6,23,46,69,138

Greatest Common Factor

We found the factors 23,88,69,138 . The biggest common factor number is the GCF number.
So the greatest common factor 23,88,69,138 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 77/23, 57/88, 96/69, 46/138

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 77/23, 57/88, 96/69, 46/138?

Answer: LCM of Numerators as per given numbers 77/23, 57/88, 96/69, 46/138 is

LCM of Numerators i.e. for 77,57,96,46 is 3230304

GCF of denominators i.e. for 23,88,69,138 is 1.

Thus, LCM of Fractions is 3230304.Finally, LCM of Fractions for 77/23, 57/88, 96/69, 46/138 is 3230304.