Least Common Multiple of 4206/133, 7998/549

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 4206/133, 7998/549 quickly i.e. 5606598 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 4206/133, 7998/549 is 5606598.

LCM(4206/133, 7998/549) = 5606598

LCM of 4206/133, 7998/549

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 4206/133,7998/549

Given numbers are 4206/133,7998/549

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 4206,7998

Least Common Multiple of Numerators i.e. LCM of 4206,7998 is 5606598.

GCF of Denominators means GCF of 133,549 as per the given fractions.

GCF of 133,549 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 4206,7998

LCM of Fractions 4206/133,7998/549 is 5606598

2 4206, 7998
3 2103, 3999
701, 1333

∴ So the LCM of the given numbers is 2 x 3 x 701 x 1333 = 5606598

Least Common Multiple of 4206,7998 with GCF Formula

Least Common Multiple of 4206,7998 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 4206,7998 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(4206,7998) = 6

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

GCF(4206,7998) x common factors =6 x 1 = 6

LCM(4206,7998) = ( 4206 × 7998 ) / 6

LCM(4206,7998) = 33639588 / 6

LCM(4206,7998) = 5606598


Lets's calculate GCF of 133,549

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5606598/1

Therefore the LCM of Fractions 4206/133,7998/549 is 5606598

Greatest Common Factor of 133,549 By Matching Biggest Common Factor Method

Greatest Common Factor of 133,549 By Matching Biggest Common Factor Method

Factors of 133

List of positive integer factors of 133 that divides 133 without a remainder.

1,7,19,133

Factors of 549

List of positive integer factors of 549 that divides 549 without a remainder.

1,3,9,61,183,549

Greatest Common Factor

We found the factors 133,549 . The biggest common factor number is the GCF number.
So the greatest common factor 133,549 is 1.


LCM of Fractions Calculation Examples

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Frequently Asked Questions on Fractional LCM of 4206/133, 7998/549

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 4206/133, 7998/549?

Answer: LCM of Numerators as per given numbers 4206/133, 7998/549 is

LCM of Numerators i.e. for 4206,7998 is 5606598

GCF of denominators i.e. for 133,549 is 1.

Thus, LCM of Fractions is 5606598.Finally, LCM of Fractions for 4206/133, 7998/549 is 5606598.