Least Common Multiple of 6423/737, 6982/9720

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 6423/737, 6982/9720 quickly i.e. 44845386 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 6423/737, 6982/9720 is 44845386.

LCM(6423/737, 6982/9720) = 44845386

LCM of 6423/737, 6982/9720

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 6423/737,6982/9720

Given numbers are 6423/737,6982/9720

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 6423,6982

Least Common Multiple of Numerators i.e. LCM of 6423,6982 is 44845386.

GCF of Denominators means GCF of 737,9720 as per the given fractions.

GCF of 737,9720 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6423,6982

LCM of Fractions 6423/737,6982/9720 is 44845386

Given numbers has no common factors except 1. So, there LCM is their product i.e 44845386

Least Common Multiple of 6423,6982 with GCF Formula

Least Common Multiple of 6423,6982 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 6423,6982 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6423,6982) = 1

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

GCF(6423,6982) x common factors =1 x 1 = 1

LCM(6423,6982) = ( 6423 × 6982 ) / 1

LCM(6423,6982) = 44845386 / 1

LCM(6423,6982) = 44845386


Lets's calculate GCF of 737,9720

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 44845386/1

Therefore the LCM of Fractions 6423/737,6982/9720 is 44845386

Greatest Common Factor of 737,9720 By Matching Biggest Common Factor Method

Greatest Common Factor of 737,9720 By Matching Biggest Common Factor Method

Factors of 737

List of positive integer factors of 737 that divides 737 without a remainder.

1,11,67,737

Factors of 9720

List of positive integer factors of 9720 that divides 9720 without a remainder.

1,2,3,4,5,6,8,9,10,12,15,18,20,24,27,30,36,40,45,54,60,72,81,90,108,120,135,162,180,216,243,270,324,360,405,486,540,648,810,972,1080,1215,1620,1944,2430,3240,4860,9720

Greatest Common Factor

We found the factors 737,9720 . The biggest common factor number is the GCF number.
So the greatest common factor 737,9720 is 1.


LCM of Fractions Calculation Examples

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Frequently Asked Questions on Fractional LCM of 6423/737, 6982/9720

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 6423/737, 6982/9720?

Answer: LCM of Numerators as per given numbers 6423/737, 6982/9720 is

LCM of Numerators i.e. for 6423,6982 is 44845386

GCF of denominators i.e. for 737,9720 is 1.

Thus, LCM of Fractions is 44845386.Finally, LCM of Fractions for 6423/737, 6982/9720 is 44845386.