Least Common Multiple of 54/547, 99/210, 460/605

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 54/547, 99/210, 460/605 quickly i.e. 136620 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 54/547, 99/210, 460/605 is 136620.

LCM(54/547, 99/210, 460/605) = 136620

LCM of 54/547, 99/210, 460/605

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 54/547,99/210,460/605

Given numbers are 54/547,99/210,460/605

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 54,99,460

Least Common Multiple of Numerators i.e. LCM of 54,99,460 is 136620.

GCF of Denominators means GCF of 547,210,605 as per the given fractions.

GCF of 547,210,605 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 54,99,460

LCM of Fractions 54/547,99/210,460/605 is 136620

2 54, 99, 460
3 27, 99, 230
3 9, 33, 230
3, 11, 230

∴ So the LCM of the given numbers is 2 x 3 x 3 x 3 x 11 x 230 = 136620

Least Common Multiple of 54,99,460 with GCF Formula

Least Common Multiple of 54,99,460 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 54,99,460 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(54,99,460) = 1

common factors(in case of two or more numbers have common factors) = 18

GCF(54,99,460) x common factors =1 x 18 = 18

LCM(54,99,460) = ( 54 × 99 × 460 ) / 18

LCM(54,99,460) = 2459160 / 18

LCM(54,99,460) = 136620


Lets's calculate GCF of 547,210,605

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 136620/1

Therefore the LCM of Fractions 54/547,99/210,460/605 is 136620

Greatest Common Factor of 547,210,605 By Matching Biggest Common Factor Method

Greatest Common Factor of 547,210,605 By Matching Biggest Common Factor Method

Factors of 547

List of positive integer factors of 547 that divides 547 without a remainder.

1,547

Factors of 210

List of positive integer factors of 210 that divides 210 without a remainder.

1,2,3,5,6,7,10,14,15,21,30,35,42,70,105,210

Factors of 605

List of positive integer factors of 605 that divides 605 without a remainder.

1,5,11,55,121,605

Greatest Common Factor

We found the factors 547,210,605 . The biggest common factor number is the GCF number.
So the greatest common factor 547,210,605 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 54/547, 99/210, 460/605

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 54/547, 99/210, 460/605?

Answer: LCM of Numerators as per given numbers 54/547, 99/210, 460/605 is

LCM of Numerators i.e. for 54,99,460 is 136620

GCF of denominators i.e. for 547,210,605 is 1.

Thus, LCM of Fractions is 136620.Finally, LCM of Fractions for 54/547, 99/210, 460/605 is 136620.