Least Common Multiple of 36/277, 47/602, 524/475

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 36/277, 47/602, 524/475 quickly i.e. 221652 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 36/277, 47/602, 524/475 is 221652.

LCM(36/277, 47/602, 524/475) = 221652

LCM of 36/277, 47/602, 524/475

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 36/277,47/602,524/475

Given numbers are 36/277,47/602,524/475

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 36,47,524

Least Common Multiple of Numerators i.e. LCM of 36,47,524 is 221652.

GCF of Denominators means GCF of 277,602,475 as per the given fractions.

GCF of 277,602,475 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 36,47,524

LCM of Fractions 36/277,47/602,524/475 is 221652

2 36, 47, 524
2 18, 47, 262
9, 47, 131

∴ So the LCM of the given numbers is 2 x 2 x 9 x 47 x 131 = 221652

Least Common Multiple of 36,47,524 with GCF Formula

Least Common Multiple of 36,47,524 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 36,47,524 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(36,47,524) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(36,47,524) x common factors =1 x 4 = 4

LCM(36,47,524) = ( 36 × 47 × 524 ) / 4

LCM(36,47,524) = 886608 / 4

LCM(36,47,524) = 221652


Lets's calculate GCF of 277,602,475

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 221652/1

Therefore the LCM of Fractions 36/277,47/602,524/475 is 221652

Greatest Common Factor of 277,602,475 By Matching Biggest Common Factor Method

Greatest Common Factor of 277,602,475 By Matching Biggest Common Factor Method

Factors of 277

List of positive integer factors of 277 that divides 277 without a remainder.

1,277

Factors of 602

List of positive integer factors of 602 that divides 602 without a remainder.

1,2,7,14,43,86,301,602

Factors of 475

List of positive integer factors of 475 that divides 475 without a remainder.

1,5,19,25,95,475

Greatest Common Factor

We found the factors 277,602,475 . The biggest common factor number is the GCF number.
So the greatest common factor 277,602,475 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 36/277, 47/602, 524/475

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 36/277, 47/602, 524/475?

Answer: LCM of Numerators as per given numbers 36/277, 47/602, 524/475 is

LCM of Numerators i.e. for 36,47,524 is 221652

GCF of denominators i.e. for 277,602,475 is 1.

Thus, LCM of Fractions is 221652.Finally, LCM of Fractions for 36/277, 47/602, 524/475 is 221652.