Least Common Multiple of 484/67, 703/54, 302/972

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 484/67, 703/54, 302/972 quickly i.e. 51378052 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 484/67, 703/54, 302/972 is 51378052.

LCM(484/67, 703/54, 302/972) = 51378052

LCM of 484/67, 703/54, 302/972

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 484/67,703/54,302/972

Given numbers are 484/67,703/54,302/972

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 484,703,302

Least Common Multiple of Numerators i.e. LCM of 484,703,302 is 51378052.

GCF of Denominators means GCF of 67,54,972 as per the given fractions.

GCF of 67,54,972 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 484,703,302

LCM of Fractions 484/67,703/54,302/972 is 51378052

2 484, 703, 302
242, 703, 151

∴ So the LCM of the given numbers is 2 x 242 x 703 x 151 = 51378052

Least Common Multiple of 484,703,302 with GCF Formula

Least Common Multiple of 484,703,302 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 484,703,302 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(484,703,302) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(484,703,302) x common factors =1 x 2 = 2

LCM(484,703,302) = ( 484 × 703 × 302 ) / 2

LCM(484,703,302) = 102756104 / 2

LCM(484,703,302) = 51378052


Lets's calculate GCF of 67,54,972

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 51378052/1

Therefore the LCM of Fractions 484/67,703/54,302/972 is 51378052

Greatest Common Factor of 67,54,972 By Matching Biggest Common Factor Method

Greatest Common Factor of 67,54,972 By Matching Biggest Common Factor Method

Factors of 67

List of positive integer factors of 67 that divides 67 without a remainder.

1,67

Factors of 54

List of positive integer factors of 54 that divides 54 without a remainder.

1,2,3,6,9,18,27,54

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 67,54,972 . The biggest common factor number is the GCF number.
So the greatest common factor 67,54,972 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 484/67, 703/54, 302/972

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 484/67, 703/54, 302/972?

Answer: LCM of Numerators as per given numbers 484/67, 703/54, 302/972 is

LCM of Numerators i.e. for 484,703,302 is 51378052

GCF of denominators i.e. for 67,54,972 is 1.

Thus, LCM of Fractions is 51378052.Finally, LCM of Fractions for 484/67, 703/54, 302/972 is 51378052.