Least Common Multiple of 331/49, 416/5325

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 331/49, 416/5325 quickly i.e. 137696 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 331/49, 416/5325 is 137696.

LCM(331/49, 416/5325) = 137696

LCM of 331/49, 416/5325

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 331/49,416/5325

Given numbers are 331/49,416/5325

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 331,416

Least Common Multiple of Numerators i.e. LCM of 331,416 is 137696.

GCF of Denominators means GCF of 49,5325 as per the given fractions.

GCF of 49,5325 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 331,416

LCM of Fractions 331/49,416/5325 is 137696

Given numbers has no common factors except 1. So, there LCM is their product i.e 137696

Least Common Multiple of 331,416 with GCF Formula

Least Common Multiple of 331,416 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 331,416 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(331,416) = 1

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

GCF(331,416) x common factors =1 x 1 = 1

LCM(331,416) = ( 331 × 416 ) / 1

LCM(331,416) = 137696 / 1

LCM(331,416) = 137696


Lets's calculate GCF of 49,5325

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 137696/1

Therefore the LCM of Fractions 331/49,416/5325 is 137696

Greatest Common Factor of 49,5325 By Matching Biggest Common Factor Method

Greatest Common Factor of 49,5325 By Matching Biggest Common Factor Method

Factors of 49

List of positive integer factors of 49 that divides 49 without a remainder.

1,7,49

Factors of 5325

List of positive integer factors of 5325 that divides 5325 without a remainder.

1,3,5,15,25,71,75,213,355,1065,1775,5325

Greatest Common Factor

We found the factors 49,5325 . The biggest common factor number is the GCF number.
So the greatest common factor 49,5325 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 331/49, 416/5325

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 331/49, 416/5325?

Answer: LCM of Numerators as per given numbers 331/49, 416/5325 is

LCM of Numerators i.e. for 331,416 is 137696

GCF of denominators i.e. for 49,5325 is 1.

Thus, LCM of Fractions is 137696.Finally, LCM of Fractions for 331/49, 416/5325 is 137696.