Least Common Multiple of 44/315, 47/595, 202/341

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 44/315, 47/595, 202/341 quickly i.e. 208868 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 44/315, 47/595, 202/341 is 208868.

LCM(44/315, 47/595, 202/341) = 208868

LCM of 44/315, 47/595, 202/341

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 44/315,47/595,202/341

Given numbers are 44/315,47/595,202/341

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 44,47,202

Least Common Multiple of Numerators i.e. LCM of 44,47,202 is 208868.

GCF of Denominators means GCF of 315,595,341 as per the given fractions.

GCF of 315,595,341 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 44,47,202

LCM of Fractions 44/315,47/595,202/341 is 208868

2 44, 47, 202
22, 47, 101

∴ So the LCM of the given numbers is 2 x 22 x 47 x 101 = 208868

Least Common Multiple of 44,47,202 with GCF Formula

Least Common Multiple of 44,47,202 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 44,47,202 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(44,47,202) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(44,47,202) x common factors =1 x 2 = 2

LCM(44,47,202) = ( 44 × 47 × 202 ) / 2

LCM(44,47,202) = 417736 / 2

LCM(44,47,202) = 208868


Lets's calculate GCF of 315,595,341

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 208868/1

Therefore the LCM of Fractions 44/315,47/595,202/341 is 208868

Greatest Common Factor of 315,595,341 By Matching Biggest Common Factor Method

Greatest Common Factor of 315,595,341 By Matching Biggest Common Factor Method

Factors of 315

List of positive integer factors of 315 that divides 315 without a remainder.

1,3,5,7,9,15,21,35,45,63,105,315

Factors of 595

List of positive integer factors of 595 that divides 595 without a remainder.

1,5,7,17,35,85,119,595

Factors of 341

List of positive integer factors of 341 that divides 341 without a remainder.

1,11,31,341

Greatest Common Factor

We found the factors 315,595,341 . The biggest common factor number is the GCF number.
So the greatest common factor 315,595,341 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 44/315, 47/595, 202/341

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 44/315, 47/595, 202/341?

Answer: LCM of Numerators as per given numbers 44/315, 47/595, 202/341 is

LCM of Numerators i.e. for 44,47,202 is 208868

GCF of denominators i.e. for 315,595,341 is 1.

Thus, LCM of Fractions is 208868.Finally, LCM of Fractions for 44/315, 47/595, 202/341 is 208868.