Least Common Multiple of 54/776, 8313/8085

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 54/776, 8313/8085 quickly i.e. 149634 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 54/776, 8313/8085 is 149634.

LCM(54/776, 8313/8085) = 149634

LCM of 54/776, 8313/8085

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 54/776,8313/8085

Given numbers are 54/776,8313/8085

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 54,8313

Least Common Multiple of Numerators i.e. LCM of 54,8313 is 149634.

GCF of Denominators means GCF of 776,8085 as per the given fractions.

GCF of 776,8085 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 54,8313

LCM of Fractions 54/776,8313/8085 is 149634

3 54, 8313
18, 2771

∴ So the LCM of the given numbers is 3 x 18 x 2771 = 149634

Least Common Multiple of 54,8313 with GCF Formula

Least Common Multiple of 54,8313 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 54,8313 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(54,8313) = 3

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

GCF(54,8313) x common factors =3 x 1 = 3

LCM(54,8313) = ( 54 × 8313 ) / 3

LCM(54,8313) = 448902 / 3

LCM(54,8313) = 149634


Lets's calculate GCF of 776,8085

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 149634/1

Therefore the LCM of Fractions 54/776,8313/8085 is 149634

Greatest Common Factor of 776,8085 By Matching Biggest Common Factor Method

Greatest Common Factor of 776,8085 By Matching Biggest Common Factor Method

Factors of 776

List of positive integer factors of 776 that divides 776 without a remainder.

1,2,4,8,97,194,388,776

Factors of 8085

List of positive integer factors of 8085 that divides 8085 without a remainder.

1,3,5,7,11,15,21,33,35,49,55,77,105,147,165,231,245,385,539,735,1155,1617,2695,8085

Greatest Common Factor

We found the factors 776,8085 . The biggest common factor number is the GCF number.
So the greatest common factor 776,8085 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 54/776, 8313/8085

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 54/776, 8313/8085?

Answer: LCM of Numerators as per given numbers 54/776, 8313/8085 is

LCM of Numerators i.e. for 54,8313 is 149634

GCF of denominators i.e. for 776,8085 is 1.

Thus, LCM of Fractions is 149634.Finally, LCM of Fractions for 54/776, 8313/8085 is 149634.