Least Common Multiple of 5299/12, 6278/202

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 5299/12, 6278/202 quickly i.e. 16633561 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 5299/12, 6278/202 is 16633561.

LCM(5299/12, 6278/202) = 16633561

LCM of 5299/12, 6278/202

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 5299/12,6278/202

Given numbers are 5299/12,6278/202

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 5299,6278

Least Common Multiple of Numerators i.e. LCM of 5299,6278 is 33267122.

GCF of Denominators means GCF of 12,202 as per the given fractions.

GCF of 12,202 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 5299,6278

LCM of Fractions 5299/12,6278/202 is 16633561

Given numbers has no common factors except 1. So, there LCM is their product i.e 33267122

Least Common Multiple of 5299,6278 with GCF Formula

Least Common Multiple of 5299,6278 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 5299,6278 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5299,6278) = 1

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

GCF(5299,6278) x common factors =1 x 1 = 1

LCM(5299,6278) = ( 5299 × 6278 ) / 1

LCM(5299,6278) = 33267122 / 1

LCM(5299,6278) = 33267122


Lets's calculate GCF of 12,202

2 12, 202
6, 101

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 33267122/2

Therefore the LCM of Fractions 5299/12,6278/202 is 16633561

Greatest Common Factor of 12,202 By Matching Biggest Common Factor Method

Greatest Common Factor of 12,202 By Matching Biggest Common Factor Method

Factors of 12

List of positive integer factors of 12 that divides 12 without a remainder.

1,2,3,4,6,12

Factors of 202

List of positive integer factors of 202 that divides 202 without a remainder.

1,2,101,202

Greatest Common Factor

We found the factors 12,202 . The biggest common factor number is the GCF number.
So the greatest common factor 12,202 is 2.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 5299/12, 6278/202

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 5299/12, 6278/202?

Answer: LCM of Numerators as per given numbers 5299/12, 6278/202 is

LCM of Numerators i.e. for 5299,6278 is 33267122

GCF of denominators i.e. for 12,202 is 2.

Thus, LCM of Fractions is 16633561.Finally, LCM of Fractions for 5299/12, 6278/202 is 16633561.