Least Common Multiple of 542/634, 306/205, 510/123

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 542/634, 306/205, 510/123 quickly i.e. 414630 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 542/634, 306/205, 510/123 is 414630.

LCM(542/634, 306/205, 510/123) = 414630

LCM of 542/634, 306/205, 510/123

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 542/634,306/205,510/123

Given numbers are 542/634,306/205,510/123

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 542,306,510

Least Common Multiple of Numerators i.e. LCM of 542,306,510 is 414630.

GCF of Denominators means GCF of 634,205,123 as per the given fractions.

GCF of 634,205,123 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 542,306,510

LCM of Fractions 542/634,306/205,510/123 is 414630

2 542, 306, 510
3 271, 153, 255
17 271, 51, 85
271, 3, 5

∴ So the LCM of the given numbers is 2 x 3 x 17 x 271 x 3 x 5 = 414630

Least Common Multiple of 542,306,510 with GCF Formula

Least Common Multiple of 542,306,510 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 542,306,510 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(542,306,510) = 2

common factors(in case of two or more numbers have common factors) = 102

GCF(542,306,510) x common factors =2 x 102 = 204

LCM(542,306,510) = ( 542 × 306 × 510 ) / 204

LCM(542,306,510) = 84584520 / 204

LCM(542,306,510) = 414630


Lets's calculate GCF of 634,205,123

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 414630/1

Therefore the LCM of Fractions 542/634,306/205,510/123 is 414630

Greatest Common Factor of 634,205,123 By Matching Biggest Common Factor Method

Greatest Common Factor of 634,205,123 By Matching Biggest Common Factor Method

Factors of 634

List of positive integer factors of 634 that divides 634 without a remainder.

1,2,317,634

Factors of 205

List of positive integer factors of 205 that divides 205 without a remainder.

1,5,41,205

Factors of 123

List of positive integer factors of 123 that divides 123 without a remainder.

1,3,41,123

Greatest Common Factor

We found the factors 634,205,123 . The biggest common factor number is the GCF number.
So the greatest common factor 634,205,123 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 542/634, 306/205, 510/123

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 542/634, 306/205, 510/123?

Answer: LCM of Numerators as per given numbers 542/634, 306/205, 510/123 is

LCM of Numerators i.e. for 542,306,510 is 414630

GCF of denominators i.e. for 634,205,123 is 1.

Thus, LCM of Fractions is 414630.Finally, LCM of Fractions for 542/634, 306/205, 510/123 is 414630.