Least Common Multiple of 483/104, 248/972

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 483/104, 248/972 quickly i.e. 29946 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 483/104, 248/972 is 29946.

LCM(483/104, 248/972) = 29946

LCM of 483/104, 248/972

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 483/104,248/972

Given numbers are 483/104,248/972

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 483,248

Least Common Multiple of Numerators i.e. LCM of 483,248 is 119784.

GCF of Denominators means GCF of 104,972 as per the given fractions.

GCF of 104,972 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 483,248

LCM of Fractions 483/104,248/972 is 29946

Given numbers has no common factors except 1. So, there LCM is their product i.e 119784

Least Common Multiple of 483,248 with GCF Formula

Least Common Multiple of 483,248 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 483,248 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(483,248) = 1

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

GCF(483,248) x common factors =1 x 1 = 1

LCM(483,248) = ( 483 × 248 ) / 1

LCM(483,248) = 119784 / 1

LCM(483,248) = 119784


Lets's calculate GCF of 104,972

2 104, 972
2 52, 486
26, 243

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 119784/4

Therefore the LCM of Fractions 483/104,248/972 is 29946

Greatest Common Factor of 104,972 By Matching Biggest Common Factor Method

Greatest Common Factor of 104,972 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 972

List of positive integer factors of 972 that divides 972 without a remainder.

1,2,3,4,6,9,12,18,27,36,54,81,108,162,243,324,486,972

Greatest Common Factor

We found the factors 104,972 . The biggest common factor number is the GCF number.
So the greatest common factor 104,972 is 4.


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Frequently Asked Questions on Fractional LCM of 483/104, 248/972

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 483/104, 248/972?

Answer: LCM of Numerators as per given numbers 483/104, 248/972 is

LCM of Numerators i.e. for 483,248 is 119784

GCF of denominators i.e. for 104,972 is 4.

Thus, LCM of Fractions is 29946.Finally, LCM of Fractions for 483/104, 248/972 is 29946.