Least Common Multiple of 1798/421, 7679/8976

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 1798/421, 7679/8976 quickly i.e. 13806842 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1798/421, 7679/8976 is 13806842.

LCM(1798/421, 7679/8976) = 13806842

LCM of 1798/421, 7679/8976

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 1798/421,7679/8976

Given numbers are 1798/421,7679/8976

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 1798,7679

Least Common Multiple of Numerators i.e. LCM of 1798,7679 is 13806842.

GCF of Denominators means GCF of 421,8976 as per the given fractions.

GCF of 421,8976 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1798,7679

LCM of Fractions 1798/421,7679/8976 is 13806842

Given numbers has no common factors except 1. So, there LCM is their product i.e 13806842

Least Common Multiple of 1798,7679 with GCF Formula

Least Common Multiple of 1798,7679 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 1798,7679 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1798,7679) = 1

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

GCF(1798,7679) x common factors =1 x 1 = 1

LCM(1798,7679) = ( 1798 × 7679 ) / 1

LCM(1798,7679) = 13806842 / 1

LCM(1798,7679) = 13806842


Lets's calculate GCF of 421,8976

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 13806842/1

Therefore the LCM of Fractions 1798/421,7679/8976 is 13806842

Greatest Common Factor of 421,8976 By Matching Biggest Common Factor Method

Greatest Common Factor of 421,8976 By Matching Biggest Common Factor Method

Factors of 421

List of positive integer factors of 421 that divides 421 without a remainder.

1,421

Factors of 8976

List of positive integer factors of 8976 that divides 8976 without a remainder.

1,2,3,4,6,8,11,12,16,17,22,24,33,34,44,48,51,66,68,88,102,132,136,176,187,204,264,272,374,408,528,561,748,816,1122,1496,2244,2992,4488,8976

Greatest Common Factor

We found the factors 421,8976 . The biggest common factor number is the GCF number.
So the greatest common factor 421,8976 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 1798/421, 7679/8976

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 1798/421, 7679/8976?

Answer: LCM of Numerators as per given numbers 1798/421, 7679/8976 is

LCM of Numerators i.e. for 1798,7679 is 13806842

GCF of denominators i.e. for 421,8976 is 1.

Thus, LCM of Fractions is 13806842.Finally, LCM of Fractions for 1798/421, 7679/8976 is 13806842.