Least Common Multiple of 82/154, 6339/9955

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 82/154, 6339/9955 quickly i.e. 519798/11 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 82/154, 6339/9955 is 519798/11.

LCM(82/154, 6339/9955) = 519798/11

LCM of 82/154, 6339/9955

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 82/154,6339/9955

Given numbers are 82/154,6339/9955

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 82,6339

Least Common Multiple of Numerators i.e. LCM of 82,6339 is 519798.

GCF of Denominators means GCF of 154,9955 as per the given fractions.

GCF of 154,9955 is 11 as it is the largest common factor for these numbers.

Lets's calculate LCM of 82,6339

LCM of Fractions 82/154,6339/9955 is 519798/11

Given numbers has no common factors except 1. So, there LCM is their product i.e 519798

Least Common Multiple of 82,6339 with GCF Formula

Least Common Multiple of 82,6339 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 82,6339 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(82,6339) = 1

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

GCF(82,6339) x common factors =1 x 1 = 1

LCM(82,6339) = ( 82 × 6339 ) / 1

LCM(82,6339) = 519798 / 1

LCM(82,6339) = 519798


Lets's calculate GCF of 154,9955

11 154, 9955
14, 905

∴ So the GCF of the given numbers is 11 = 11

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 519798/11

Therefore the LCM of Fractions 82/154,6339/9955 is 519798/11

Greatest Common Factor of 154,9955 By Matching Biggest Common Factor Method

Greatest Common Factor of 154,9955 By Matching Biggest Common Factor Method

Factors of 154

List of positive integer factors of 154 that divides 154 without a remainder.

1,2,7,11,14,22,77,154

Factors of 9955

List of positive integer factors of 9955 that divides 9955 without a remainder.

1,5,11,55,181,905,1991,9955

Greatest Common Factor

We found the factors 154,9955 . The biggest common factor number is the GCF number.
So the greatest common factor 154,9955 is 11.


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Frequently Asked Questions on Fractional LCM of 82/154, 6339/9955

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 82/154, 6339/9955?

Answer: LCM of Numerators as per given numbers 82/154, 6339/9955 is

LCM of Numerators i.e. for 82,6339 is 519798

GCF of denominators i.e. for 154,9955 is 11.

Thus, LCM of Fractions is 519798/11.Finally, LCM of Fractions for 82/154, 6339/9955 is 519798/11.