Least Common Multiple of 32/742, 617/26, 369/972

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 32/742, 617/26, 369/972 quickly i.e. 3642768 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 32/742, 617/26, 369/972 is 3642768.

LCM(32/742, 617/26, 369/972) = 3642768

LCM of 32/742, 617/26, 369/972

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 32/742,617/26,369/972

Given numbers are 32/742,617/26,369/972

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 32,617,369

Least Common Multiple of Numerators i.e. LCM of 32,617,369 is 7285536.

GCF of Denominators means GCF of 742,26,972 as per the given fractions.

GCF of 742,26,972 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 32,617,369

LCM of Fractions 32/742,617/26,369/972 is 3642768

Given numbers has no common factors except 1. So, there LCM is their product i.e 7285536

Least Common Multiple of 32,617,369 with GCF Formula

Least Common Multiple of 32,617,369 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 32,617,369 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(32,617,369) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(32,617,369) x common factors =1 x 1 = 1

LCM(32,617,369) = ( 32 × 617 × 369 ) / 1

LCM(32,617,369) = 7285536 / 1

LCM(32,617,369) = 7285536


Lets's calculate GCF of 742,26,972

2 742, 26, 972
371, 13, 486

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7285536/2

Therefore the LCM of Fractions 32/742,617/26,369/972 is 3642768

Greatest Common Factor of 742,26,972 By Matching Biggest Common Factor Method

Greatest Common Factor of 742,26,972 By Matching Biggest Common Factor Method

Factors of 742

List of positive integer factors of 742 that divides 742 without a remainder.

1,2,7,14,53,106,371,742

Factors of 26

List of positive integer factors of 26 that divides 26 without a remainder.

1,2,13,26

Factors of 972

List of positive integer factors of 972 that divides 972 without a remainder.

1,2,3,4,6,9,12,18,27,36,54,81,108,162,243,324,486,972

Greatest Common Factor

We found the factors 742,26,972 . The biggest common factor number is the GCF number.
So the greatest common factor 742,26,972 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 32/742, 617/26, 369/972

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 32/742, 617/26, 369/972?

Answer: LCM of Numerators as per given numbers 32/742, 617/26, 369/972 is

LCM of Numerators i.e. for 32,617,369 is 7285536

GCF of denominators i.e. for 742,26,972 is 2.

Thus, LCM of Fractions is 3642768.Finally, LCM of Fractions for 32/742, 617/26, 369/972 is 3642768.