Least Common Multiple of 506/54, 859/42, 506/25

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 506/54, 859/42, 506/25 quickly i.e. 434654 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 506/54, 859/42, 506/25 is 434654.

LCM(506/54, 859/42, 506/25) = 434654

LCM of 506/54, 859/42, 506/25

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 506/54,859/42,506/25

Given numbers are 506/54,859/42,506/25

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 506,859,506

Least Common Multiple of Numerators i.e. LCM of 506,859,506 is 434654.

GCF of Denominators means GCF of 54,42,25 as per the given fractions.

GCF of 54,42,25 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 506,859,506

LCM of Fractions 506/54,859/42,506/25 is 434654

2 506, 859, 506
11 253, 859, 253
23 23, 859, 23
1, 859, 1

∴ So the LCM of the given numbers is 2 x 11 x 23 x 1 x 859 x 1 = 434654

Least Common Multiple of 506,859,506 with GCF Formula

Least Common Multiple of 506,859,506 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 506,859,506 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(506,859,506) = 1

common factors(in case of two or more numbers have common factors) = 506

GCF(506,859,506) x common factors =1 x 506 = 506

LCM(506,859,506) = ( 506 × 859 × 506 ) / 506

LCM(506,859,506) = 219934924 / 506

LCM(506,859,506) = 434654


Lets's calculate GCF of 54,42,25

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 434654/1

Therefore the LCM of Fractions 506/54,859/42,506/25 is 434654

Greatest Common Factor of 54,42,25 By Matching Biggest Common Factor Method

Greatest Common Factor of 54,42,25 By Matching Biggest Common Factor Method

Factors of 54

List of positive integer factors of 54 that divides 54 without a remainder.

1,2,3,6,9,18,27,54

Factors of 42

List of positive integer factors of 42 that divides 42 without a remainder.

1,2,3,6,7,14,21,42

Factors of 25

List of positive integer factors of 25 that divides 25 without a remainder.

1,5,25

Greatest Common Factor

We found the factors 54,42,25 . The biggest common factor number is the GCF number.
So the greatest common factor 54,42,25 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 506/54, 859/42, 506/25

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 506/54, 859/42, 506/25?

Answer: LCM of Numerators as per given numbers 506/54, 859/42, 506/25 is

LCM of Numerators i.e. for 506,859,506 is 434654

GCF of denominators i.e. for 54,42,25 is 1.

Thus, LCM of Fractions is 434654.Finally, LCM of Fractions for 506/54, 859/42, 506/25 is 434654.