Least Common Multiple of 41/137, 28/685, 772/437

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 41/137, 28/685, 772/437 quickly i.e. 221564 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 41/137, 28/685, 772/437 is 221564.

LCM(41/137, 28/685, 772/437) = 221564

LCM of 41/137, 28/685, 772/437

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 41/137,28/685,772/437

Given numbers are 41/137,28/685,772/437

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 41,28,772

Least Common Multiple of Numerators i.e. LCM of 41,28,772 is 221564.

GCF of Denominators means GCF of 137,685,437 as per the given fractions.

GCF of 137,685,437 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 41,28,772

LCM of Fractions 41/137,28/685,772/437 is 221564

2 41, 28, 772
2 41, 14, 386
41, 7, 193

∴ So the LCM of the given numbers is 2 x 2 x 41 x 7 x 193 = 221564

Least Common Multiple of 41,28,772 with GCF Formula

Least Common Multiple of 41,28,772 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 41,28,772 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(41,28,772) = 1

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

GCF(41,28,772) x common factors =1 x 4 = 4

LCM(41,28,772) = ( 41 × 28 × 772 ) / 4

LCM(41,28,772) = 886256 / 4

LCM(41,28,772) = 221564


Lets's calculate GCF of 137,685,437

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 221564/1

Therefore the LCM of Fractions 41/137,28/685,772/437 is 221564

Greatest Common Factor of 137,685,437 By Matching Biggest Common Factor Method

Greatest Common Factor of 137,685,437 By Matching Biggest Common Factor Method

Factors of 137

List of positive integer factors of 137 that divides 137 without a remainder.

1,137

Factors of 685

List of positive integer factors of 685 that divides 685 without a remainder.

1,5,137,685

Factors of 437

List of positive integer factors of 437 that divides 437 without a remainder.

1,19,23,437

Greatest Common Factor

We found the factors 137,685,437 . The biggest common factor number is the GCF number.
So the greatest common factor 137,685,437 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 41/137, 28/685, 772/437

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 41/137, 28/685, 772/437?

Answer: LCM of Numerators as per given numbers 41/137, 28/685, 772/437 is

LCM of Numerators i.e. for 41,28,772 is 221564

GCF of denominators i.e. for 137,685,437 is 1.

Thus, LCM of Fractions is 221564.Finally, LCM of Fractions for 41/137, 28/685, 772/437 is 221564.