Least Common Multiple of 8107/484, 3902/225

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 8107/484, 3902/225 quickly i.e. 31633514 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 8107/484, 3902/225 is 31633514.

LCM(8107/484, 3902/225) = 31633514

LCM of 8107/484, 3902/225

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 8107/484,3902/225

Given numbers are 8107/484,3902/225

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 8107,3902

Least Common Multiple of Numerators i.e. LCM of 8107,3902 is 31633514.

GCF of Denominators means GCF of 484,225 as per the given fractions.

GCF of 484,225 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 8107,3902

LCM of Fractions 8107/484,3902/225 is 31633514

Given numbers has no common factors except 1. So, there LCM is their product i.e 31633514

Least Common Multiple of 8107,3902 with GCF Formula

Least Common Multiple of 8107,3902 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 8107,3902 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8107,3902) = 1

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

GCF(8107,3902) x common factors =1 x 1 = 1

LCM(8107,3902) = ( 8107 × 3902 ) / 1

LCM(8107,3902) = 31633514 / 1

LCM(8107,3902) = 31633514


Lets's calculate GCF of 484,225

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 31633514/1

Therefore the LCM of Fractions 8107/484,3902/225 is 31633514

Greatest Common Factor of 484,225 By Matching Biggest Common Factor Method

Greatest Common Factor of 484,225 By Matching Biggest Common Factor Method

Factors of 484

List of positive integer factors of 484 that divides 484 without a remainder.

1,2,4,11,22,44,121,242,484

Factors of 225

List of positive integer factors of 225 that divides 225 without a remainder.

1,3,5,9,15,25,45,75,225

Greatest Common Factor

We found the factors 484,225 . The biggest common factor number is the GCF number.
So the greatest common factor 484,225 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 8107/484, 3902/225

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 8107/484, 3902/225?

Answer: LCM of Numerators as per given numbers 8107/484, 3902/225 is

LCM of Numerators i.e. for 8107,3902 is 31633514

GCF of denominators i.e. for 484,225 is 1.

Thus, LCM of Fractions is 31633514.Finally, LCM of Fractions for 8107/484, 3902/225 is 31633514.