Least Common Multiple of 5494/763, 6105/981

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 5494/763, 6105/981 quickly i.e. 33540870/109 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 5494/763, 6105/981 is 33540870/109.

LCM(5494/763, 6105/981) = 33540870/109

LCM of 5494/763, 6105/981

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 5494/763,6105/981

Given numbers are 5494/763,6105/981

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 5494,6105

Least Common Multiple of Numerators i.e. LCM of 5494,6105 is 33540870.

GCF of Denominators means GCF of 763,981 as per the given fractions.

GCF of 763,981 is 109 as it is the largest common factor for these numbers.

Lets's calculate LCM of 5494,6105

LCM of Fractions 5494/763,6105/981 is 33540870/109

Given numbers has no common factors except 1. So, there LCM is their product i.e 33540870

Least Common Multiple of 5494,6105 with GCF Formula

Least Common Multiple of 5494,6105 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 5494,6105 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5494,6105) = 1

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

GCF(5494,6105) x common factors =1 x 1 = 1

LCM(5494,6105) = ( 5494 × 6105 ) / 1

LCM(5494,6105) = 33540870 / 1

LCM(5494,6105) = 33540870


Lets's calculate GCF of 763,981

109 763, 981
7, 9

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 33540870/109

Therefore the LCM of Fractions 5494/763,6105/981 is 33540870/109

Greatest Common Factor of 763,981 By Matching Biggest Common Factor Method

Greatest Common Factor of 763,981 By Matching Biggest Common Factor Method

Factors of 763

List of positive integer factors of 763 that divides 763 without a remainder.

1,7,109,763

Factors of 981

List of positive integer factors of 981 that divides 981 without a remainder.

1,3,9,109,327,981

Greatest Common Factor

We found the factors 763,981 . The biggest common factor number is the GCF number.
So the greatest common factor 763,981 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 5494/763, 6105/981

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 5494/763, 6105/981?

Answer: LCM of Numerators as per given numbers 5494/763, 6105/981 is

LCM of Numerators i.e. for 5494,6105 is 33540870

GCF of denominators i.e. for 763,981 is 109.

Thus, LCM of Fractions is 33540870/109.Finally, LCM of Fractions for 5494/763, 6105/981 is 33540870/109.