Least Common Multiple of 91/214, 30/300

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 91/214, 30/300 quickly i.e. 1365 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 91/214, 30/300 is 1365.

LCM(91/214, 30/300) = 1365

LCM of 91/214, 30/300

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 91/214,30/300

Given numbers are 91/214,30/300

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 91,30

Least Common Multiple of Numerators i.e. LCM of 91,30 is 2730.

GCF of Denominators means GCF of 214,300 as per the given fractions.

GCF of 214,300 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 91,30

LCM of Fractions 91/214,30/300 is 1365

Given numbers has no common factors except 1. So, there LCM is their product i.e 2730

Least Common Multiple of 91,30 with GCF Formula

Least Common Multiple of 91,30 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 91,30 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(91,30) = 1

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

GCF(91,30) x common factors =1 x 1 = 1

LCM(91,30) = ( 91 × 30 ) / 1

LCM(91,30) = 2730 / 1

LCM(91,30) = 2730


Lets's calculate GCF of 214,300

2 214, 300
107, 150

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2730/2

Therefore the LCM of Fractions 91/214,30/300 is 1365

Greatest Common Factor of 214,300 By Matching Biggest Common Factor Method

Greatest Common Factor of 214,300 By Matching Biggest Common Factor Method

Factors of 214

List of positive integer factors of 214 that divides 214 without a remainder.

1,2,107,214

Factors of 300

List of positive integer factors of 300 that divides 300 without a remainder.

1,2,3,4,5,6,10,12,15,20,25,30,50,60,75,100,150,300

Greatest Common Factor

We found the factors 214,300 . The biggest common factor number is the GCF number.
So the greatest common factor 214,300 is 2.


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 91/214, 30/300

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 91/214, 30/300?

Answer: LCM of Numerators as per given numbers 91/214, 30/300 is

LCM of Numerators i.e. for 91,30 is 2730

GCF of denominators i.e. for 214,300 is 2.

Thus, LCM of Fractions is 1365.Finally, LCM of Fractions for 91/214, 30/300 is 1365.