Least Common Multiple of 882/20, 643/7638

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 882/20, 643/7638 quickly i.e. 283563 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 882/20, 643/7638 is 283563.

LCM(882/20, 643/7638) = 283563

LCM of 882/20, 643/7638

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 882/20,643/7638

Given numbers are 882/20,643/7638

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 882,643

Least Common Multiple of Numerators i.e. LCM of 882,643 is 567126.

GCF of Denominators means GCF of 20,7638 as per the given fractions.

GCF of 20,7638 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 882,643

LCM of Fractions 882/20,643/7638 is 283563

Given numbers has no common factors except 1. So, there LCM is their product i.e 567126

Least Common Multiple of 882,643 with GCF Formula

Least Common Multiple of 882,643 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 882,643 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(882,643) = 1

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

GCF(882,643) x common factors =1 x 1 = 1

LCM(882,643) = ( 882 × 643 ) / 1

LCM(882,643) = 567126 / 1

LCM(882,643) = 567126


Lets's calculate GCF of 20,7638

2 20, 7638
10, 3819

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 567126/2

Therefore the LCM of Fractions 882/20,643/7638 is 283563

Greatest Common Factor of 20,7638 By Matching Biggest Common Factor Method

Greatest Common Factor of 20,7638 By Matching Biggest Common Factor Method

Factors of 20

List of positive integer factors of 20 that divides 20 without a remainder.

1,2,4,5,10,20

Factors of 7638

List of positive integer factors of 7638 that divides 7638 without a remainder.

1,2,3,6,19,38,57,67,114,134,201,402,1273,2546,3819,7638

Greatest Common Factor

We found the factors 20,7638 . The biggest common factor number is the GCF number.
So the greatest common factor 20,7638 is 2.


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 882/20, 643/7638

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 882/20, 643/7638?

Answer: LCM of Numerators as per given numbers 882/20, 643/7638 is

LCM of Numerators i.e. for 882,643 is 567126

GCF of denominators i.e. for 20,7638 is 2.

Thus, LCM of Fractions is 283563.Finally, LCM of Fractions for 882/20, 643/7638 is 283563.