Least Common Multiple of 935/576, 342/302, 138/900

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 935/576, 342/302, 138/900 quickly i.e. 3677355 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 935/576, 342/302, 138/900 is 3677355.

LCM(935/576, 342/302, 138/900) = 3677355

LCM of 935/576, 342/302, 138/900

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 935/576,342/302,138/900

Given numbers are 935/576,342/302,138/900

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 935,342,138

Least Common Multiple of Numerators i.e. LCM of 935,342,138 is 7354710.

GCF of Denominators means GCF of 576,302,900 as per the given fractions.

GCF of 576,302,900 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 935,342,138

LCM of Fractions 935/576,342/302,138/900 is 3677355

2 935, 342, 138
3 935, 171, 69
935, 57, 23

∴ So the LCM of the given numbers is 2 x 3 x 935 x 57 x 23 = 7354710

Least Common Multiple of 935,342,138 with GCF Formula

Least Common Multiple of 935,342,138 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 935,342,138 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(935,342,138) = 1

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

GCF(935,342,138) x common factors =1 x 6 = 6

LCM(935,342,138) = ( 935 × 342 × 138 ) / 6

LCM(935,342,138) = 44128260 / 6

LCM(935,342,138) = 7354710


Lets's calculate GCF of 576,302,900

2 576, 302, 900
288, 151, 450

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7354710/2

Therefore the LCM of Fractions 935/576,342/302,138/900 is 3677355

Greatest Common Factor of 576,302,900 By Matching Biggest Common Factor Method

Greatest Common Factor of 576,302,900 By Matching Biggest Common Factor Method

Factors of 576

List of positive integer factors of 576 that divides 576 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,32,36,48,64,72,96,144,192,288,576

Factors of 302

List of positive integer factors of 302 that divides 302 without a remainder.

1,2,151,302

Factors of 900

List of positive integer factors of 900 that divides 900 without a remainder.

1,2,3,4,5,6,9,10,12,15,18,20,25,30,36,45,50,60,75,90,100,150,180,225,300,450,900

Greatest Common Factor

We found the factors 576,302,900 . The biggest common factor number is the GCF number.
So the greatest common factor 576,302,900 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 935/576, 342/302, 138/900

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 935/576, 342/302, 138/900?

Answer: LCM of Numerators as per given numbers 935/576, 342/302, 138/900 is

LCM of Numerators i.e. for 935,342,138 is 7354710

GCF of denominators i.e. for 576,302,900 is 2.

Thus, LCM of Fractions is 3677355.Finally, LCM of Fractions for 935/576, 342/302, 138/900 is 3677355.