Least Common Multiple of 214/94, 117/5341

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 214/94, 117/5341 quickly i.e. 25038 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 214/94, 117/5341 is 25038.

LCM(214/94, 117/5341) = 25038

LCM of 214/94, 117/5341

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 214/94,117/5341

Given numbers are 214/94,117/5341

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 214,117

Least Common Multiple of Numerators i.e. LCM of 214,117 is 25038.

GCF of Denominators means GCF of 94,5341 as per the given fractions.

GCF of 94,5341 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 214,117

LCM of Fractions 214/94,117/5341 is 25038

Given numbers has no common factors except 1. So, there LCM is their product i.e 25038

Least Common Multiple of 214,117 with GCF Formula

Least Common Multiple of 214,117 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 214,117 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(214,117) = 1

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

GCF(214,117) x common factors =1 x 1 = 1

LCM(214,117) = ( 214 × 117 ) / 1

LCM(214,117) = 25038 / 1

LCM(214,117) = 25038


Lets's calculate GCF of 94,5341

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 25038/1

Therefore the LCM of Fractions 214/94,117/5341 is 25038

Greatest Common Factor of 94,5341 By Matching Biggest Common Factor Method

Greatest Common Factor of 94,5341 By Matching Biggest Common Factor Method

Factors of 94

List of positive integer factors of 94 that divides 94 without a remainder.

1,2,47,94

Factors of 5341

List of positive integer factors of 5341 that divides 5341 without a remainder.

1,7,49,109,763,5341

Greatest Common Factor

We found the factors 94,5341 . The biggest common factor number is the GCF number.
So the greatest common factor 94,5341 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 214/94, 117/5341

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 214/94, 117/5341?

Answer: LCM of Numerators as per given numbers 214/94, 117/5341 is

LCM of Numerators i.e. for 214,117 is 25038

GCF of denominators i.e. for 94,5341 is 1.

Thus, LCM of Fractions is 25038.Finally, LCM of Fractions for 214/94, 117/5341 is 25038.