Least Common Multiple of 369/36, 524/24, 748/679

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 369/36, 524/24, 748/679 quickly i.e. 36157572 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 369/36, 524/24, 748/679 is 36157572.

LCM(369/36, 524/24, 748/679) = 36157572

LCM of 369/36, 524/24, 748/679

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 369/36,524/24,748/679

Given numbers are 369/36,524/24,748/679

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 369,524,748

Least Common Multiple of Numerators i.e. LCM of 369,524,748 is 36157572.

GCF of Denominators means GCF of 36,24,679 as per the given fractions.

GCF of 36,24,679 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 369,524,748

LCM of Fractions 369/36,524/24,748/679 is 36157572

2 369, 524, 748
2 369, 262, 374
369, 131, 187

∴ So the LCM of the given numbers is 2 x 2 x 369 x 131 x 187 = 36157572

Least Common Multiple of 369,524,748 with GCF Formula

Least Common Multiple of 369,524,748 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 369,524,748 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(369,524,748) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(369,524,748) x common factors =1 x 4 = 4

LCM(369,524,748) = ( 369 × 524 × 748 ) / 4

LCM(369,524,748) = 144630288 / 4

LCM(369,524,748) = 36157572


Lets's calculate GCF of 36,24,679

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 36157572/1

Therefore the LCM of Fractions 369/36,524/24,748/679 is 36157572

Greatest Common Factor of 36,24,679 By Matching Biggest Common Factor Method

Greatest Common Factor of 36,24,679 By Matching Biggest Common Factor Method

Factors of 36

List of positive integer factors of 36 that divides 36 without a remainder.

1,2,3,4,6,9,12,18,36

Factors of 24

List of positive integer factors of 24 that divides 24 without a remainder.

1,2,3,4,6,8,12,24

Factors of 679

List of positive integer factors of 679 that divides 679 without a remainder.

1,7,97,679

Greatest Common Factor

We found the factors 36,24,679 . The biggest common factor number is the GCF number.
So the greatest common factor 36,24,679 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 369/36, 524/24, 748/679

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 369/36, 524/24, 748/679?

Answer: LCM of Numerators as per given numbers 369/36, 524/24, 748/679 is

LCM of Numerators i.e. for 369,524,748 is 36157572

GCF of denominators i.e. for 36,24,679 is 1.

Thus, LCM of Fractions is 36157572.Finally, LCM of Fractions for 369/36, 524/24, 748/679 is 36157572.