Least Common Multiple of 41/52, 738/47, 477/173

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 41/52, 738/47, 477/173 quickly i.e. 39114 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 41/52, 738/47, 477/173 is 39114.

LCM(41/52, 738/47, 477/173) = 39114

LCM of 41/52, 738/47, 477/173

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 41/52,738/47,477/173

Given numbers are 41/52,738/47,477/173

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 41,738,477

Least Common Multiple of Numerators i.e. LCM of 41,738,477 is 39114.

GCF of Denominators means GCF of 52,47,173 as per the given fractions.

GCF of 52,47,173 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 41,738,477

LCM of Fractions 41/52,738/47,477/173 is 39114

3 41, 738, 477
3 41, 246, 159
41 41, 82, 53
1, 2, 53

∴ So the LCM of the given numbers is 3 x 3 x 41 x 1 x 2 x 53 = 39114

Least Common Multiple of 41,738,477 with GCF Formula

Least Common Multiple of 41,738,477 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 41,738,477 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(41,738,477) = 1

common factors(in case of two or more numbers have common factors) = 369

GCF(41,738,477) x common factors =1 x 369 = 369

LCM(41,738,477) = ( 41 × 738 × 477 ) / 369

LCM(41,738,477) = 14433066 / 369

LCM(41,738,477) = 39114


Lets's calculate GCF of 52,47,173

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 39114/1

Therefore the LCM of Fractions 41/52,738/47,477/173 is 39114

Greatest Common Factor of 52,47,173 By Matching Biggest Common Factor Method

Greatest Common Factor of 52,47,173 By Matching Biggest Common Factor Method

Factors of 52

List of positive integer factors of 52 that divides 52 without a remainder.

1,2,4,13,26,52

Factors of 47

List of positive integer factors of 47 that divides 47 without a remainder.

1,47

Factors of 173

List of positive integer factors of 173 that divides 173 without a remainder.

1,173

Greatest Common Factor

We found the factors 52,47,173 . The biggest common factor number is the GCF number.
So the greatest common factor 52,47,173 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 41/52, 738/47, 477/173

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 41/52, 738/47, 477/173?

Answer: LCM of Numerators as per given numbers 41/52, 738/47, 477/173 is

LCM of Numerators i.e. for 41,738,477 is 39114

GCF of denominators i.e. for 52,47,173 is 1.

Thus, LCM of Fractions is 39114.Finally, LCM of Fractions for 41/52, 738/47, 477/173 is 39114.