Least Common Multiple of 2749/542, 9122/3906

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 2749/542, 9122/3906 quickly i.e. 12538189 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 2749/542, 9122/3906 is 12538189.

LCM(2749/542, 9122/3906) = 12538189

LCM of 2749/542, 9122/3906

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 2749/542,9122/3906

Given numbers are 2749/542,9122/3906

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 2749,9122

Least Common Multiple of Numerators i.e. LCM of 2749,9122 is 25076378.

GCF of Denominators means GCF of 542,3906 as per the given fractions.

GCF of 542,3906 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 2749,9122

LCM of Fractions 2749/542,9122/3906 is 12538189

Given numbers has no common factors except 1. So, there LCM is their product i.e 25076378

Least Common Multiple of 2749,9122 with GCF Formula

Least Common Multiple of 2749,9122 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 2749,9122 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(2749,9122) = 1

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

GCF(2749,9122) x common factors =1 x 1 = 1

LCM(2749,9122) = ( 2749 × 9122 ) / 1

LCM(2749,9122) = 25076378 / 1

LCM(2749,9122) = 25076378


Lets's calculate GCF of 542,3906

2 542, 3906
271, 1953

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 25076378/2

Therefore the LCM of Fractions 2749/542,9122/3906 is 12538189

Greatest Common Factor of 542,3906 By Matching Biggest Common Factor Method

Greatest Common Factor of 542,3906 By Matching Biggest Common Factor Method

Factors of 542

List of positive integer factors of 542 that divides 542 without a remainder.

1,2,271,542

Factors of 3906

List of positive integer factors of 3906 that divides 3906 without a remainder.

1,2,3,6,7,9,14,18,21,31,42,62,63,93,126,186,217,279,434,558,651,1302,1953,3906

Greatest Common Factor

We found the factors 542,3906 . The biggest common factor number is the GCF number.
So the greatest common factor 542,3906 is 2.


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 2749/542, 9122/3906

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 2749/542, 9122/3906?

Answer: LCM of Numerators as per given numbers 2749/542, 9122/3906 is

LCM of Numerators i.e. for 2749,9122 is 25076378

GCF of denominators i.e. for 542,3906 is 2.

Thus, LCM of Fractions is 12538189.Finally, LCM of Fractions for 2749/542, 9122/3906 is 12538189.