Least Common Multiple of 753/594, 564/954, 442/972

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 753/594, 564/954, 442/972 quickly i.e. 31285644/18 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 753/594, 564/954, 442/972 is 31285644/18.

LCM(753/594, 564/954, 442/972) = 31285644/18

LCM of 753/594, 564/954, 442/972

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 753/594,564/954,442/972

Given numbers are 753/594,564/954,442/972

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 753,564,442

Least Common Multiple of Numerators i.e. LCM of 753,564,442 is 31285644.

GCF of Denominators means GCF of 594,954,972 as per the given fractions.

GCF of 594,954,972 is 18 as it is the largest common factor for these numbers.

Lets's calculate LCM of 753,564,442

LCM of Fractions 753/594,564/954,442/972 is 31285644/18

2 753, 564, 442
3 753, 282, 221
251, 94, 221

∴ So the LCM of the given numbers is 2 x 3 x 251 x 94 x 221 = 31285644

Least Common Multiple of 753,564,442 with GCF Formula

Least Common Multiple of 753,564,442 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 753,564,442 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(753,564,442) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(753,564,442) x common factors =1 x 6 = 6

LCM(753,564,442) = ( 753 × 564 × 442 ) / 6

LCM(753,564,442) = 187713864 / 6

LCM(753,564,442) = 31285644


Lets's calculate GCF of 594,954,972

2 594, 954, 972
3 297, 477, 486
3 99, 159, 162
33, 53, 54

∴ So the GCF of the given numbers is 2 x 3 x 3 = 18

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 31285644/18

Therefore the LCM of Fractions 753/594,564/954,442/972 is 31285644/18

Greatest Common Factor of 594,954,972 By Matching Biggest Common Factor Method

Greatest Common Factor of 594,954,972 By Matching Biggest Common Factor Method

Factors of 594

List of positive integer factors of 594 that divides 594 without a remainder.

1,2,3,6,9,11,18,22,27,33,54,66,99,198,297,594

Factors of 954

List of positive integer factors of 954 that divides 954 without a remainder.

1,2,3,6,9,18,53,106,159,318,477,954

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 594,954,972 . The biggest common factor number is the GCF number.
So the greatest common factor 594,954,972 is 18.


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 753/594, 564/954, 442/972

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 753/594, 564/954, 442/972?

Answer: LCM of Numerators as per given numbers 753/594, 564/954, 442/972 is

LCM of Numerators i.e. for 753,564,442 is 31285644

GCF of denominators i.e. for 594,954,972 is 18.

Thus, LCM of Fractions is 31285644/18.Finally, LCM of Fractions for 753/594, 564/954, 442/972 is 31285644/18.