Least Common Multiple of 54/522, 768/243, 345/515

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 54/522, 768/243, 345/515 quickly i.e. 794880 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 54/522, 768/243, 345/515 is 794880.

LCM(54/522, 768/243, 345/515) = 794880

LCM of 54/522, 768/243, 345/515

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 54/522,768/243,345/515

Given numbers are 54/522,768/243,345/515

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 54,768,345

Least Common Multiple of Numerators i.e. LCM of 54,768,345 is 794880.

GCF of Denominators means GCF of 522,243,515 as per the given fractions.

GCF of 522,243,515 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 54,768,345

LCM of Fractions 54/522,768/243,345/515 is 794880

2 54, 768, 345
3 27, 384, 345
9, 128, 115

∴ So the LCM of the given numbers is 2 x 3 x 9 x 128 x 115 = 794880

Least Common Multiple of 54,768,345 with GCF Formula

Least Common Multiple of 54,768,345 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 54,768,345 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(54,768,345) = 3

common factors(in case of two or more numbers have common factors) = 6

GCF(54,768,345) x common factors =3 x 6 = 18

LCM(54,768,345) = ( 54 × 768 × 345 ) / 18

LCM(54,768,345) = 14307840 / 18

LCM(54,768,345) = 794880


Lets's calculate GCF of 522,243,515

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 794880/1

Therefore the LCM of Fractions 54/522,768/243,345/515 is 794880

Greatest Common Factor of 522,243,515 By Matching Biggest Common Factor Method

Greatest Common Factor of 522,243,515 By Matching Biggest Common Factor Method

Factors of 522

List of positive integer factors of 522 that divides 522 without a remainder.

1,2,3,6,9,18,29,58,87,174,261,522

Factors of 243

List of positive integer factors of 243 that divides 243 without a remainder.

1,3,9,27,81,243

Factors of 515

List of positive integer factors of 515 that divides 515 without a remainder.

1,5,103,515

Greatest Common Factor

We found the factors 522,243,515 . The biggest common factor number is the GCF number.
So the greatest common factor 522,243,515 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 54/522, 768/243, 345/515

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 54/522, 768/243, 345/515?

Answer: LCM of Numerators as per given numbers 54/522, 768/243, 345/515 is

LCM of Numerators i.e. for 54,768,345 is 794880

GCF of denominators i.e. for 522,243,515 is 1.

Thus, LCM of Fractions is 794880.Finally, LCM of Fractions for 54/522, 768/243, 345/515 is 794880.