Least Common Multiple of 754/972, 6243/728

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 754/972, 6243/728 quickly i.e. 4707222/4 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 754/972, 6243/728 is 4707222/4.

LCM(754/972, 6243/728) = 4707222/4

LCM of 754/972, 6243/728

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 754/972,6243/728

Given numbers are 754/972,6243/728

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 754,6243

Least Common Multiple of Numerators i.e. LCM of 754,6243 is 4707222.

GCF of Denominators means GCF of 972,728 as per the given fractions.

GCF of 972,728 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 754,6243

LCM of Fractions 754/972,6243/728 is 4707222/4

Given numbers has no common factors except 1. So, there LCM is their product i.e 4707222

Least Common Multiple of 754,6243 with GCF Formula

Least Common Multiple of 754,6243 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 754,6243 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(754,6243) = 1

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

GCF(754,6243) x common factors =1 x 1 = 1

LCM(754,6243) = ( 754 × 6243 ) / 1

LCM(754,6243) = 4707222 / 1

LCM(754,6243) = 4707222


Lets's calculate GCF of 972,728

2 972, 728
2 486, 364
243, 182

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4707222/4

Therefore the LCM of Fractions 754/972,6243/728 is 4707222/4

Greatest Common Factor of 972,728 By Matching Biggest Common Factor Method

Greatest Common Factor of 972,728 By Matching Biggest Common Factor Method

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

Factors of 728

List of positive integer factors of 728 that divides 728 without a remainder.

1,2,4,7,8,13,14,26,28,52,56,91,104,182,364,728

Greatest Common Factor

We found the factors 972,728 . The biggest common factor number is the GCF number.
So the greatest common factor 972,728 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 754/972, 6243/728

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 754/972, 6243/728?

Answer: LCM of Numerators as per given numbers 754/972, 6243/728 is

LCM of Numerators i.e. for 754,6243 is 4707222

GCF of denominators i.e. for 972,728 is 4.

Thus, LCM of Fractions is 4707222/4.Finally, LCM of Fractions for 754/972, 6243/728 is 4707222/4.