Least Common Multiple of 7883/182, 4004/663

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 7883/182, 4004/663 quickly i.e. 2427964 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7883/182, 4004/663 is 2427964.

LCM(7883/182, 4004/663) = 2427964

LCM of 7883/182, 4004/663

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 7883/182,4004/663

Given numbers are 7883/182,4004/663

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 7883,4004

Least Common Multiple of Numerators i.e. LCM of 7883,4004 is 31563532.

GCF of Denominators means GCF of 182,663 as per the given fractions.

GCF of 182,663 is 13 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7883,4004

LCM of Fractions 7883/182,4004/663 is 2427964

Given numbers has no common factors except 1. So, there LCM is their product i.e 31563532

Least Common Multiple of 7883,4004 with GCF Formula

Least Common Multiple of 7883,4004 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 7883,4004 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7883,4004) = 1

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

GCF(7883,4004) x common factors =1 x 1 = 1

LCM(7883,4004) = ( 7883 × 4004 ) / 1

LCM(7883,4004) = 31563532 / 1

LCM(7883,4004) = 31563532


Lets's calculate GCF of 182,663

13 182, 663
14, 51

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 31563532/13

Therefore the LCM of Fractions 7883/182,4004/663 is 2427964

Greatest Common Factor of 182,663 By Matching Biggest Common Factor Method

Greatest Common Factor of 182,663 By Matching Biggest Common Factor Method

Factors of 182

List of positive integer factors of 182 that divides 182 without a remainder.

1,2,7,13,14,26,91,182

Factors of 663

List of positive integer factors of 663 that divides 663 without a remainder.

1,3,13,17,39,51,221,663

Greatest Common Factor

We found the factors 182,663 . The biggest common factor number is the GCF number.
So the greatest common factor 182,663 is 13.


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Frequently Asked Questions on Fractional LCM of 7883/182, 4004/663

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 7883/182, 4004/663?

Answer: LCM of Numerators as per given numbers 7883/182, 4004/663 is

LCM of Numerators i.e. for 7883,4004 is 31563532

GCF of denominators i.e. for 182,663 is 13.

Thus, LCM of Fractions is 2427964.Finally, LCM of Fractions for 7883/182, 4004/663 is 2427964.