Least Common Multiple of 67/104, 5196/4854

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 67/104, 5196/4854 quickly i.e. 174066 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 67/104, 5196/4854 is 174066.

LCM(67/104, 5196/4854) = 174066

LCM of 67/104, 5196/4854

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 67/104,5196/4854

Given numbers are 67/104,5196/4854

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 67,5196

Least Common Multiple of Numerators i.e. LCM of 67,5196 is 348132.

GCF of Denominators means GCF of 104,4854 as per the given fractions.

GCF of 104,4854 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 67,5196

LCM of Fractions 67/104,5196/4854 is 174066

Given numbers has no common factors except 1. So, there LCM is their product i.e 348132

Least Common Multiple of 67,5196 with GCF Formula

Least Common Multiple of 67,5196 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 67,5196 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(67,5196) = 1

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

GCF(67,5196) x common factors =1 x 1 = 1

LCM(67,5196) = ( 67 × 5196 ) / 1

LCM(67,5196) = 348132 / 1

LCM(67,5196) = 348132


Lets's calculate GCF of 104,4854

2 104, 4854
52, 2427

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 348132/2

Therefore the LCM of Fractions 67/104,5196/4854 is 174066

Greatest Common Factor of 104,4854 By Matching Biggest Common Factor Method

Greatest Common Factor of 104,4854 By Matching Biggest Common Factor Method

Factors of 104

List of positive integer factors of 104 that divides 104 without a remainder.

1,2,4,8,13,26,52,104

Factors of 4854

List of positive integer factors of 4854 that divides 4854 without a remainder.

1,2,3,6,809,1618,2427,4854

Greatest Common Factor

We found the factors 104,4854 . The biggest common factor number is the GCF number.
So the greatest common factor 104,4854 is 2.


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Frequently Asked Questions on Fractional LCM of 67/104, 5196/4854

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 67/104, 5196/4854?

Answer: LCM of Numerators as per given numbers 67/104, 5196/4854 is

LCM of Numerators i.e. for 67,5196 is 348132

GCF of denominators i.e. for 104,4854 is 2.

Thus, LCM of Fractions is 174066.Finally, LCM of Fractions for 67/104, 5196/4854 is 174066.