Least Common Multiple of 61/542, 56/259, 437/607

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 61/542, 56/259, 437/607 quickly i.e. 1492792 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 61/542, 56/259, 437/607 is 1492792.

LCM(61/542, 56/259, 437/607) = 1492792

LCM of 61/542, 56/259, 437/607

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 61/542,56/259,437/607

Given numbers are 61/542,56/259,437/607

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 61,56,437

Least Common Multiple of Numerators i.e. LCM of 61,56,437 is 1492792.

GCF of Denominators means GCF of 542,259,607 as per the given fractions.

GCF of 542,259,607 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 61,56,437

LCM of Fractions 61/542,56/259,437/607 is 1492792

Given numbers has no common factors except 1. So, there LCM is their product i.e 1492792

Least Common Multiple of 61,56,437 with GCF Formula

Least Common Multiple of 61,56,437 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 61,56,437 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(61,56,437) = 1

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

GCF(61,56,437) x common factors =1 x 1 = 1

LCM(61,56,437) = ( 61 × 56 × 437 ) / 1

LCM(61,56,437) = 1492792 / 1

LCM(61,56,437) = 1492792


Lets's calculate GCF of 542,259,607

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1492792/1

Therefore the LCM of Fractions 61/542,56/259,437/607 is 1492792

Greatest Common Factor of 542,259,607 By Matching Biggest Common Factor Method

Greatest Common Factor of 542,259,607 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 259

List of positive integer factors of 259 that divides 259 without a remainder.

1,7,37,259

Factors of 607

List of positive integer factors of 607 that divides 607 without a remainder.

1,607

Greatest Common Factor

We found the factors 542,259,607 . The biggest common factor number is the GCF number.
So the greatest common factor 542,259,607 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 61/542, 56/259, 437/607

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 61/542, 56/259, 437/607?

Answer: LCM of Numerators as per given numbers 61/542, 56/259, 437/607 is

LCM of Numerators i.e. for 61,56,437 is 1492792

GCF of denominators i.e. for 542,259,607 is 1.

Thus, LCM of Fractions is 1492792.Finally, LCM of Fractions for 61/542, 56/259, 437/607 is 1492792.