Least Common Multiple of 1202/52, 8962/195

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 1202/52, 8962/195 quickly i.e. 5386162/13 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1202/52, 8962/195 is 5386162/13.

LCM(1202/52, 8962/195) = 5386162/13

LCM of 1202/52, 8962/195

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 1202/52,8962/195

Given numbers are 1202/52,8962/195

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 1202,8962

Least Common Multiple of Numerators i.e. LCM of 1202,8962 is 5386162.

GCF of Denominators means GCF of 52,195 as per the given fractions.

GCF of 52,195 is 13 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1202,8962

LCM of Fractions 1202/52,8962/195 is 5386162/13

2 1202, 8962
601, 4481

∴ So the LCM of the given numbers is 2 x 601 x 4481 = 5386162

Least Common Multiple of 1202,8962 with GCF Formula

Least Common Multiple of 1202,8962 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 1202,8962 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1202,8962) = 2

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

GCF(1202,8962) x common factors =2 x 1 = 2

LCM(1202,8962) = ( 1202 × 8962 ) / 2

LCM(1202,8962) = 10772324 / 2

LCM(1202,8962) = 5386162


Lets's calculate GCF of 52,195

13 52, 195
4, 15

∴ So the GCF of the given numbers is 13 = 13

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5386162/13

Therefore the LCM of Fractions 1202/52,8962/195 is 5386162/13

Greatest Common Factor of 52,195 By Matching Biggest Common Factor Method

Greatest Common Factor of 52,195 By Matching Biggest Common Factor Method

Factors of 52

List of positive integer factors of 52 that divides 52 without a remainder.

1,2,4,13,26,52

Factors of 195

List of positive integer factors of 195 that divides 195 without a remainder.

1,3,5,13,15,39,65,195

Greatest Common Factor

We found the factors 52,195 . The biggest common factor number is the GCF number.
So the greatest common factor 52,195 is 13.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 1202/52, 8962/195

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 1202/52, 8962/195?

Answer: LCM of Numerators as per given numbers 1202/52, 8962/195 is

LCM of Numerators i.e. for 1202,8962 is 5386162

GCF of denominators i.e. for 52,195 is 13.

Thus, LCM of Fractions is 5386162/13.Finally, LCM of Fractions for 1202/52, 8962/195 is 5386162/13.