Least Common Multiple of 6991/218, 1869/4687

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 6991/218, 1869/4687 quickly i.e. 13066179/109 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 6991/218, 1869/4687 is 13066179/109.

LCM(6991/218, 1869/4687) = 13066179/109

LCM of 6991/218, 1869/4687

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 6991/218,1869/4687

Given numbers are 6991/218,1869/4687

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 6991,1869

Least Common Multiple of Numerators i.e. LCM of 6991,1869 is 13066179.

GCF of Denominators means GCF of 218,4687 as per the given fractions.

GCF of 218,4687 is 109 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6991,1869

LCM of Fractions 6991/218,1869/4687 is 13066179/109

Given numbers has no common factors except 1. So, there LCM is their product i.e 13066179

Least Common Multiple of 6991,1869 with GCF Formula

Least Common Multiple of 6991,1869 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 6991,1869 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6991,1869) = 1

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

GCF(6991,1869) x common factors =1 x 1 = 1

LCM(6991,1869) = ( 6991 × 1869 ) / 1

LCM(6991,1869) = 13066179 / 1

LCM(6991,1869) = 13066179


Lets's calculate GCF of 218,4687

109 218, 4687
2, 43

∴ So the GCF of the given numbers is 109 = 109

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 13066179/109

Therefore the LCM of Fractions 6991/218,1869/4687 is 13066179/109

Greatest Common Factor of 218,4687 By Matching Biggest Common Factor Method

Greatest Common Factor of 218,4687 By Matching Biggest Common Factor Method

Factors of 218

List of positive integer factors of 218 that divides 218 without a remainder.

1,2,109,218

Factors of 4687

List of positive integer factors of 4687 that divides 4687 without a remainder.

1,43,109,4687

Greatest Common Factor

We found the factors 218,4687 . The biggest common factor number is the GCF number.
So the greatest common factor 218,4687 is 109.


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 6991/218, 1869/4687

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 6991/218, 1869/4687?

Answer: LCM of Numerators as per given numbers 6991/218, 1869/4687 is

LCM of Numerators i.e. for 6991,1869 is 13066179

GCF of denominators i.e. for 218,4687 is 109.

Thus, LCM of Fractions is 13066179/109.Finally, LCM of Fractions for 6991/218, 1869/4687 is 13066179/109.