Least Common Multiple of 54/304, 95/869, 292/355

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 54/304, 95/869, 292/355 quickly i.e. 748980 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 54/304, 95/869, 292/355 is 748980.

LCM(54/304, 95/869, 292/355) = 748980

LCM of 54/304, 95/869, 292/355

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 54/304,95/869,292/355

Given numbers are 54/304,95/869,292/355

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 54,95,292

Least Common Multiple of Numerators i.e. LCM of 54,95,292 is 748980.

GCF of Denominators means GCF of 304,869,355 as per the given fractions.

GCF of 304,869,355 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 54,95,292

LCM of Fractions 54/304,95/869,292/355 is 748980

2 54, 95, 292
27, 95, 146

∴ So the LCM of the given numbers is 2 x 27 x 95 x 146 = 748980

Least Common Multiple of 54,95,292 with GCF Formula

Least Common Multiple of 54,95,292 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 54,95,292 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(54,95,292) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(54,95,292) x common factors =1 x 2 = 2

LCM(54,95,292) = ( 54 × 95 × 292 ) / 2

LCM(54,95,292) = 1497960 / 2

LCM(54,95,292) = 748980


Lets's calculate GCF of 304,869,355

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 748980/1

Therefore the LCM of Fractions 54/304,95/869,292/355 is 748980

Greatest Common Factor of 304,869,355 By Matching Biggest Common Factor Method

Greatest Common Factor of 304,869,355 By Matching Biggest Common Factor Method

Factors of 304

List of positive integer factors of 304 that divides 304 without a remainder.

1,2,4,8,16,19,38,76,152,304

Factors of 869

List of positive integer factors of 869 that divides 869 without a remainder.

1,11,79,869

Factors of 355

List of positive integer factors of 355 that divides 355 without a remainder.

1,5,71,355

Greatest Common Factor

We found the factors 304,869,355 . The biggest common factor number is the GCF number.
So the greatest common factor 304,869,355 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 54/304, 95/869, 292/355

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 54/304, 95/869, 292/355?

Answer: LCM of Numerators as per given numbers 54/304, 95/869, 292/355 is

LCM of Numerators i.e. for 54,95,292 is 748980

GCF of denominators i.e. for 304,869,355 is 1.

Thus, LCM of Fractions is 748980.Finally, LCM of Fractions for 54/304, 95/869, 292/355 is 748980.