Least Common Multiple of 25/546, 6258/5154

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 25/546, 6258/5154 quickly i.e. 26075 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 25/546, 6258/5154 is 26075.

LCM(25/546, 6258/5154) = 26075

LCM of 25/546, 6258/5154

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 25/546,6258/5154

Given numbers are 25/546,6258/5154

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 25,6258

Least Common Multiple of Numerators i.e. LCM of 25,6258 is 156450.

GCF of Denominators means GCF of 546,5154 as per the given fractions.

GCF of 546,5154 is 6 as it is the largest common factor for these numbers.

Lets's calculate LCM of 25,6258

LCM of Fractions 25/546,6258/5154 is 26075

Given numbers has no common factors except 1. So, there LCM is their product i.e 156450

Least Common Multiple of 25,6258 with GCF Formula

Least Common Multiple of 25,6258 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 25,6258 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(25,6258) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(25,6258) x common factors =1 x 1 = 1

LCM(25,6258) = ( 25 × 6258 ) / 1

LCM(25,6258) = 156450 / 1

LCM(25,6258) = 156450


Lets's calculate GCF of 546,5154

2 546, 5154
3 273, 2577
91, 859

∴ So the GCF of the given numbers is 2 x 3 = 6

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 156450/6

Therefore the LCM of Fractions 25/546,6258/5154 is 26075

Greatest Common Factor of 546,5154 By Matching Biggest Common Factor Method

Greatest Common Factor of 546,5154 By Matching Biggest Common Factor Method

Factors of 546

List of positive integer factors of 546 that divides 546 without a remainder.

1,2,3,6,7,13,14,21,26,39,42,78,91,182,273,546

Factors of 5154

List of positive integer factors of 5154 that divides 5154 without a remainder.

1,2,3,6,859,1718,2577,5154

Greatest Common Factor

We found the factors 546,5154 . The biggest common factor number is the GCF number.
So the greatest common factor 546,5154 is 6.


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 25/546, 6258/5154

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 25/546, 6258/5154?

Answer: LCM of Numerators as per given numbers 25/546, 6258/5154 is

LCM of Numerators i.e. for 25,6258 is 156450

GCF of denominators i.e. for 546,5154 is 6.

Thus, LCM of Fractions is 26075.Finally, LCM of Fractions for 25/546, 6258/5154 is 26075.