Least Common Multiple of 214/122, 7881/920

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 214/122, 7881/920 quickly i.e. 843267 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 214/122, 7881/920 is 843267.

LCM(214/122, 7881/920) = 843267

LCM of 214/122, 7881/920

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 214/122,7881/920

Given numbers are 214/122,7881/920

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 214,7881

Least Common Multiple of Numerators i.e. LCM of 214,7881 is 1686534.

GCF of Denominators means GCF of 122,920 as per the given fractions.

GCF of 122,920 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 214,7881

LCM of Fractions 214/122,7881/920 is 843267

Given numbers has no common factors except 1. So, there LCM is their product i.e 1686534

Least Common Multiple of 214,7881 with GCF Formula

Least Common Multiple of 214,7881 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 214,7881 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(214,7881) = 1

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

GCF(214,7881) x common factors =1 x 1 = 1

LCM(214,7881) = ( 214 × 7881 ) / 1

LCM(214,7881) = 1686534 / 1

LCM(214,7881) = 1686534


Lets's calculate GCF of 122,920

2 122, 920
61, 460

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1686534/2

Therefore the LCM of Fractions 214/122,7881/920 is 843267

Greatest Common Factor of 122,920 By Matching Biggest Common Factor Method

Greatest Common Factor of 122,920 By Matching Biggest Common Factor Method

Factors of 122

List of positive integer factors of 122 that divides 122 without a remainder.

1,2,61,122

Factors of 920

List of positive integer factors of 920 that divides 920 without a remainder.

1,2,4,5,8,10,20,23,40,46,92,115,184,230,460,920

Greatest Common Factor

We found the factors 122,920 . The biggest common factor number is the GCF number.
So the greatest common factor 122,920 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 214/122, 7881/920

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 214/122, 7881/920?

Answer: LCM of Numerators as per given numbers 214/122, 7881/920 is

LCM of Numerators i.e. for 214,7881 is 1686534

GCF of denominators i.e. for 122,920 is 2.

Thus, LCM of Fractions is 843267.Finally, LCM of Fractions for 214/122, 7881/920 is 843267.