Least Common Multiple of 475/54, 901/61, 975/78

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 475/54, 901/61, 975/78 quickly i.e. 16691025 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 475/54, 901/61, 975/78 is 16691025.

LCM(475/54, 901/61, 975/78) = 16691025

LCM of 475/54, 901/61, 975/78

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 475/54,901/61,975/78

Given numbers are 475/54,901/61,975/78

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 475,901,975

Least Common Multiple of Numerators i.e. LCM of 475,901,975 is 16691025.

GCF of Denominators means GCF of 54,61,78 as per the given fractions.

GCF of 54,61,78 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 475,901,975

LCM of Fractions 475/54,901/61,975/78 is 16691025

5 475, 901, 975
5 95, 901, 195
19, 901, 39

∴ So the LCM of the given numbers is 5 x 5 x 19 x 901 x 39 = 16691025

Least Common Multiple of 475,901,975 with GCF Formula

Least Common Multiple of 475,901,975 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 475,901,975 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(475,901,975) = 1

common factors(in case of two or more numbers have common factors) = 25

GCF(475,901,975) x common factors =1 x 25 = 25

LCM(475,901,975) = ( 475 × 901 × 975 ) / 25

LCM(475,901,975) = 417275625 / 25

LCM(475,901,975) = 16691025


Lets's calculate GCF of 54,61,78

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 16691025/1

Therefore the LCM of Fractions 475/54,901/61,975/78 is 16691025

Greatest Common Factor of 54,61,78 By Matching Biggest Common Factor Method

Greatest Common Factor of 54,61,78 By Matching Biggest Common Factor Method

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 61

List of positive integer factors of 61 that divides 61 without a remainder.

1,61

Factors of 78

List of positive integer factors of 78 that divides 78 without a remainder.

1,2,3,6,13,26,39,78

Greatest Common Factor

We found the factors 54,61,78 . The biggest common factor number is the GCF number.
So the greatest common factor 54,61,78 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 475/54, 901/61, 975/78

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 475/54, 901/61, 975/78?

Answer: LCM of Numerators as per given numbers 475/54, 901/61, 975/78 is

LCM of Numerators i.e. for 475,901,975 is 16691025

GCF of denominators i.e. for 54,61,78 is 1.

Thus, LCM of Fractions is 16691025.Finally, LCM of Fractions for 475/54, 901/61, 975/78 is 16691025.