Least Common Multiple of 732/76, 228/20, 635/592

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 732/76, 228/20, 635/592 quickly i.e. 2207895 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 732/76, 228/20, 635/592 is 2207895.

LCM(732/76, 228/20, 635/592) = 2207895

LCM of 732/76, 228/20, 635/592

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 732/76,228/20,635/592

Given numbers are 732/76,228/20,635/592

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 732,228,635

Least Common Multiple of Numerators i.e. LCM of 732,228,635 is 8831580.

GCF of Denominators means GCF of 76,20,592 as per the given fractions.

GCF of 76,20,592 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 732,228,635

LCM of Fractions 732/76,228/20,635/592 is 2207895

2 732, 228, 635
2 366, 114, 635
3 183, 57, 635
61, 19, 635

∴ So the LCM of the given numbers is 2 x 2 x 3 x 61 x 19 x 635 = 8831580

Least Common Multiple of 732,228,635 with GCF Formula

Least Common Multiple of 732,228,635 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 732,228,635 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(732,228,635) = 1

common factors(in case of two or more numbers have common factors) = 12

GCF(732,228,635) x common factors =1 x 12 = 12

LCM(732,228,635) = ( 732 × 228 × 635 ) / 12

LCM(732,228,635) = 105978960 / 12

LCM(732,228,635) = 8831580


Lets's calculate GCF of 76,20,592

2 76, 20, 592
2 38, 10, 296
19, 5, 148

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8831580/4

Therefore the LCM of Fractions 732/76,228/20,635/592 is 2207895

Greatest Common Factor of 76,20,592 By Matching Biggest Common Factor Method

Greatest Common Factor of 76,20,592 By Matching Biggest Common Factor Method

Factors of 76

List of positive integer factors of 76 that divides 76 without a remainder.

1,2,4,19,38,76

Factors of 20

List of positive integer factors of 20 that divides 20 without a remainder.

1,2,4,5,10,20

Factors of 592

List of positive integer factors of 592 that divides 592 without a remainder.

1,2,4,8,16,37,74,148,296,592

Greatest Common Factor

We found the factors 76,20,592 . The biggest common factor number is the GCF number.
So the greatest common factor 76,20,592 is 4.


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 732/76, 228/20, 635/592

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 732/76, 228/20, 635/592?

Answer: LCM of Numerators as per given numbers 732/76, 228/20, 635/592 is

LCM of Numerators i.e. for 732,228,635 is 8831580

GCF of denominators i.e. for 76,20,592 is 4.

Thus, LCM of Fractions is 2207895.Finally, LCM of Fractions for 732/76, 228/20, 635/592 is 2207895.