Least Common Multiple of 94/740, 99/132, 288/135

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 94/740, 99/132, 288/135 quickly i.e. 148896 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 94/740, 99/132, 288/135 is 148896.

LCM(94/740, 99/132, 288/135) = 148896

LCM of 94/740, 99/132, 288/135

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 94/740,99/132,288/135

Given numbers are 94/740,99/132,288/135

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 94,99,288

Least Common Multiple of Numerators i.e. LCM of 94,99,288 is 148896.

GCF of Denominators means GCF of 740,132,135 as per the given fractions.

GCF of 740,132,135 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 94,99,288

LCM of Fractions 94/740,99/132,288/135 is 148896

2 94, 99, 288
3 47, 99, 144
3 47, 33, 48
47, 11, 16

∴ So the LCM of the given numbers is 2 x 3 x 3 x 47 x 11 x 16 = 148896

Least Common Multiple of 94,99,288 with GCF Formula

Least Common Multiple of 94,99,288 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 94,99,288 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(94,99,288) = 1

common factors(in case of two or more numbers have common factors) = 18

GCF(94,99,288) x common factors =1 x 18 = 18

LCM(94,99,288) = ( 94 × 99 × 288 ) / 18

LCM(94,99,288) = 2680128 / 18

LCM(94,99,288) = 148896


Lets's calculate GCF of 740,132,135

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 148896/1

Therefore the LCM of Fractions 94/740,99/132,288/135 is 148896

Greatest Common Factor of 740,132,135 By Matching Biggest Common Factor Method

Greatest Common Factor of 740,132,135 By Matching Biggest Common Factor Method

Factors of 740

List of positive integer factors of 740 that divides 740 without a remainder.

1,2,4,5,10,20,37,74,148,185,370,740

Factors of 132

List of positive integer factors of 132 that divides 132 without a remainder.

1,2,3,4,6,11,12,22,33,44,66,132

Factors of 135

List of positive integer factors of 135 that divides 135 without a remainder.

1,3,5,9,15,27,45,135

Greatest Common Factor

We found the factors 740,132,135 . The biggest common factor number is the GCF number.
So the greatest common factor 740,132,135 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 94/740, 99/132, 288/135

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 94/740, 99/132, 288/135?

Answer: LCM of Numerators as per given numbers 94/740, 99/132, 288/135 is

LCM of Numerators i.e. for 94,99,288 is 148896

GCF of denominators i.e. for 740,132,135 is 1.

Thus, LCM of Fractions is 148896.Finally, LCM of Fractions for 94/740, 99/132, 288/135 is 148896.