Least Common Multiple of 7926/762, 2053/8109

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 7926/762, 2053/8109 quickly i.e. 5424026 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7926/762, 2053/8109 is 5424026.

LCM(7926/762, 2053/8109) = 5424026

LCM of 7926/762, 2053/8109

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 7926/762,2053/8109

Given numbers are 7926/762,2053/8109

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 7926,2053

Least Common Multiple of Numerators i.e. LCM of 7926,2053 is 16272078.

GCF of Denominators means GCF of 762,8109 as per the given fractions.

GCF of 762,8109 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7926,2053

LCM of Fractions 7926/762,2053/8109 is 5424026

Given numbers has no common factors except 1. So, there LCM is their product i.e 16272078

Least Common Multiple of 7926,2053 with GCF Formula

Least Common Multiple of 7926,2053 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 7926,2053 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7926,2053) = 1

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

GCF(7926,2053) x common factors =1 x 1 = 1

LCM(7926,2053) = ( 7926 × 2053 ) / 1

LCM(7926,2053) = 16272078 / 1

LCM(7926,2053) = 16272078


Lets's calculate GCF of 762,8109

3 762, 8109
254, 2703

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 16272078/3

Therefore the LCM of Fractions 7926/762,2053/8109 is 5424026

Greatest Common Factor of 762,8109 By Matching Biggest Common Factor Method

Greatest Common Factor of 762,8109 By Matching Biggest Common Factor Method

Factors of 762

List of positive integer factors of 762 that divides 762 without a remainder.

1,2,3,6,127,254,381,762

Factors of 8109

List of positive integer factors of 8109 that divides 8109 without a remainder.

1,3,9,17,51,53,153,159,477,901,2703,8109

Greatest Common Factor

We found the factors 762,8109 . The biggest common factor number is the GCF number.
So the greatest common factor 762,8109 is 3.


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 7926/762, 2053/8109

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 7926/762, 2053/8109?

Answer: LCM of Numerators as per given numbers 7926/762, 2053/8109 is

LCM of Numerators i.e. for 7926,2053 is 16272078

GCF of denominators i.e. for 762,8109 is 3.

Thus, LCM of Fractions is 5424026.Finally, LCM of Fractions for 7926/762, 2053/8109 is 5424026.