Least Common Multiple of 597/542, 4401/4967

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 597/542, 4401/4967 quickly i.e. 875799 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 597/542, 4401/4967 is 875799.

LCM(597/542, 4401/4967) = 875799

LCM of 597/542, 4401/4967

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 597/542,4401/4967

Given numbers are 597/542,4401/4967

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 597,4401

Least Common Multiple of Numerators i.e. LCM of 597,4401 is 875799.

GCF of Denominators means GCF of 542,4967 as per the given fractions.

GCF of 542,4967 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 597,4401

LCM of Fractions 597/542,4401/4967 is 875799

3 597, 4401
199, 1467

∴ So the LCM of the given numbers is 3 x 199 x 1467 = 875799

Least Common Multiple of 597,4401 with GCF Formula

Least Common Multiple of 597,4401 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 597,4401 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(597,4401) = 3

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

GCF(597,4401) x common factors =3 x 1 = 3

LCM(597,4401) = ( 597 × 4401 ) / 3

LCM(597,4401) = 2627397 / 3

LCM(597,4401) = 875799


Lets's calculate GCF of 542,4967

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 875799/1

Therefore the LCM of Fractions 597/542,4401/4967 is 875799

Greatest Common Factor of 542,4967 By Matching Biggest Common Factor Method

Greatest Common Factor of 542,4967 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 4967

List of positive integer factors of 4967 that divides 4967 without a remainder.

1,4967

Greatest Common Factor

We found the factors 542,4967 . The biggest common factor number is the GCF number.
So the greatest common factor 542,4967 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 597/542, 4401/4967

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 597/542, 4401/4967?

Answer: LCM of Numerators as per given numbers 597/542, 4401/4967 is

LCM of Numerators i.e. for 597,4401 is 875799

GCF of denominators i.e. for 542,4967 is 1.

Thus, LCM of Fractions is 875799.Finally, LCM of Fractions for 597/542, 4401/4967 is 875799.