Least Common Multiple of 726/542, 405/149

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 726/542, 405/149 quickly i.e. 98010 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 726/542, 405/149 is 98010.

LCM(726/542, 405/149) = 98010

LCM of 726/542, 405/149

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 726/542,405/149

Given numbers are 726/542,405/149

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 726,405

Least Common Multiple of Numerators i.e. LCM of 726,405 is 98010.

GCF of Denominators means GCF of 542,149 as per the given fractions.

GCF of 542,149 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 726,405

LCM of Fractions 726/542,405/149 is 98010

3 726, 405
242, 135

∴ So the LCM of the given numbers is 3 x 242 x 135 = 98010

Least Common Multiple of 726,405 with GCF Formula

Least Common Multiple of 726,405 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 726,405 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(726,405) = 3

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

GCF(726,405) x common factors =3 x 1 = 3

LCM(726,405) = ( 726 × 405 ) / 3

LCM(726,405) = 294030 / 3

LCM(726,405) = 98010


Lets's calculate GCF of 542,149

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 98010/1

Therefore the LCM of Fractions 726/542,405/149 is 98010

Greatest Common Factor of 542,149 By Matching Biggest Common Factor Method

Greatest Common Factor of 542,149 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 149

List of positive integer factors of 149 that divides 149 without a remainder.

1,149

Greatest Common Factor

We found the factors 542,149 . The biggest common factor number is the GCF number.
So the greatest common factor 542,149 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 726/542, 405/149

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 726/542, 405/149?

Answer: LCM of Numerators as per given numbers 726/542, 405/149 is

LCM of Numerators i.e. for 726,405 is 98010

GCF of denominators i.e. for 542,149 is 1.

Thus, LCM of Fractions is 98010.Finally, LCM of Fractions for 726/542, 405/149 is 98010.