Least Common Multiple of 484/436, 7683/6156

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 484/436, 7683/6156 quickly i.e. 929643 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 484/436, 7683/6156 is 929643.

LCM(484/436, 7683/6156) = 929643

LCM of 484/436, 7683/6156

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 484/436,7683/6156

Given numbers are 484/436,7683/6156

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 484,7683

Least Common Multiple of Numerators i.e. LCM of 484,7683 is 3718572.

GCF of Denominators means GCF of 436,6156 as per the given fractions.

GCF of 436,6156 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 484,7683

LCM of Fractions 484/436,7683/6156 is 929643

Given numbers has no common factors except 1. So, there LCM is their product i.e 3718572

Least Common Multiple of 484,7683 with GCF Formula

Least Common Multiple of 484,7683 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 484,7683 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(484,7683) = 1

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

GCF(484,7683) x common factors =1 x 1 = 1

LCM(484,7683) = ( 484 × 7683 ) / 1

LCM(484,7683) = 3718572 / 1

LCM(484,7683) = 3718572


Lets's calculate GCF of 436,6156

2 436, 6156
2 218, 3078
109, 1539

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3718572/4

Therefore the LCM of Fractions 484/436,7683/6156 is 929643

Greatest Common Factor of 436,6156 By Matching Biggest Common Factor Method

Greatest Common Factor of 436,6156 By Matching Biggest Common Factor Method

Factors of 436

List of positive integer factors of 436 that divides 436 without a remainder.

1,2,4,109,218,436

Factors of 6156

List of positive integer factors of 6156 that divides 6156 without a remainder.

1,2,3,4,6,9,12,18,19,27,36,38,54,57,76,81,108,114,162,171,228,324,342,513,684,1026,1539,2052,3078,6156

Greatest Common Factor

We found the factors 436,6156 . The biggest common factor number is the GCF number.
So the greatest common factor 436,6156 is 4.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 484/436, 7683/6156

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 484/436, 7683/6156?

Answer: LCM of Numerators as per given numbers 484/436, 7683/6156 is

LCM of Numerators i.e. for 484,7683 is 3718572

GCF of denominators i.e. for 436,6156 is 4.

Thus, LCM of Fractions is 929643.Finally, LCM of Fractions for 484/436, 7683/6156 is 929643.