Least Common Multiple of 54/29, 475/56, 253/507

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 54/29, 475/56, 253/507 quickly i.e. 6489450 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 54/29, 475/56, 253/507 is 6489450.

LCM(54/29, 475/56, 253/507) = 6489450

LCM of 54/29, 475/56, 253/507

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 54/29,475/56,253/507

Given numbers are 54/29,475/56,253/507

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 54,475,253

Least Common Multiple of Numerators i.e. LCM of 54,475,253 is 6489450.

GCF of Denominators means GCF of 29,56,507 as per the given fractions.

GCF of 29,56,507 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 54,475,253

LCM of Fractions 54/29,475/56,253/507 is 6489450

Given numbers has no common factors except 1. So, there LCM is their product i.e 6489450

Least Common Multiple of 54,475,253 with GCF Formula

Least Common Multiple of 54,475,253 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 54,475,253 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(54,475,253) = 1

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

GCF(54,475,253) x common factors =1 x 1 = 1

LCM(54,475,253) = ( 54 × 475 × 253 ) / 1

LCM(54,475,253) = 6489450 / 1

LCM(54,475,253) = 6489450


Lets's calculate GCF of 29,56,507

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6489450/1

Therefore the LCM of Fractions 54/29,475/56,253/507 is 6489450

Greatest Common Factor of 29,56,507 By Matching Biggest Common Factor Method

Greatest Common Factor of 29,56,507 By Matching Biggest Common Factor Method

Factors of 29

List of positive integer factors of 29 that divides 29 without a remainder.

1,29

Factors of 56

List of positive integer factors of 56 that divides 56 without a remainder.

1,2,4,7,8,14,28,56

Factors of 507

List of positive integer factors of 507 that divides 507 without a remainder.

1,3,13,39,169,507

Greatest Common Factor

We found the factors 29,56,507 . The biggest common factor number is the GCF number.
So the greatest common factor 29,56,507 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 54/29, 475/56, 253/507

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 54/29, 475/56, 253/507?

Answer: LCM of Numerators as per given numbers 54/29, 475/56, 253/507 is

LCM of Numerators i.e. for 54,475,253 is 6489450

GCF of denominators i.e. for 29,56,507 is 1.

Thus, LCM of Fractions is 6489450.Finally, LCM of Fractions for 54/29, 475/56, 253/507 is 6489450.