Least Common Multiple of 72/606, 977/132, 378/252

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 72/606, 977/132, 378/252 quickly i.e. 246204 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 72/606, 977/132, 378/252 is 246204.

LCM(72/606, 977/132, 378/252) = 246204

LCM of 72/606, 977/132, 378/252

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 72/606,977/132,378/252

Given numbers are 72/606,977/132,378/252

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 72,977,378

Least Common Multiple of Numerators i.e. LCM of 72,977,378 is 1477224.

GCF of Denominators means GCF of 606,132,252 as per the given fractions.

GCF of 606,132,252 is 6 as it is the largest common factor for these numbers.

Lets's calculate LCM of 72,977,378

LCM of Fractions 72/606,977/132,378/252 is 246204

2 72, 977, 378
3 36, 977, 189
3 12, 977, 63
4, 977, 21

∴ So the LCM of the given numbers is 2 x 3 x 3 x 4 x 977 x 21 = 1477224

Least Common Multiple of 72,977,378 with GCF Formula

Least Common Multiple of 72,977,378 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 72,977,378 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(72,977,378) = 1

common factors(in case of two or more numbers have common factors) = 18

GCF(72,977,378) x common factors =1 x 18 = 18

LCM(72,977,378) = ( 72 × 977 × 378 ) / 18

LCM(72,977,378) = 26590032 / 18

LCM(72,977,378) = 1477224


Lets's calculate GCF of 606,132,252

2 606, 132, 252
3 303, 66, 126
101, 22, 42

∴ So the GCF of the given numbers is 2 x 3 = 6

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1477224/6

Therefore the LCM of Fractions 72/606,977/132,378/252 is 246204

Greatest Common Factor of 606,132,252 By Matching Biggest Common Factor Method

Greatest Common Factor of 606,132,252 By Matching Biggest Common Factor Method

Factors of 606

List of positive integer factors of 606 that divides 606 without a remainder.

1,2,3,6,101,202,303,606

Factors of 132

List of positive integer factors of 132 that divides 132 without a remainder.

1,2,3,4,6,11,12,22,33,44,66,132

Factors of 252

List of positive integer factors of 252 that divides 252 without a remainder.

1,2,3,4,6,7,9,12,14,18,21,28,36,42,63,84,126,252

Greatest Common Factor

We found the factors 606,132,252 . The biggest common factor number is the GCF number.
So the greatest common factor 606,132,252 is 6.


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 72/606, 977/132, 378/252

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 72/606, 977/132, 378/252?

Answer: LCM of Numerators as per given numbers 72/606, 977/132, 378/252 is

LCM of Numerators i.e. for 72,977,378 is 1477224

GCF of denominators i.e. for 606,132,252 is 6.

Thus, LCM of Fractions is 246204.Finally, LCM of Fractions for 72/606, 977/132, 378/252 is 246204.