Least Common Multiple of 6915/601, 9924/1671

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 6915/601, 9924/1671 quickly i.e. 22874820 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 6915/601, 9924/1671 is 22874820.

LCM(6915/601, 9924/1671) = 22874820

LCM of 6915/601, 9924/1671

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 6915/601,9924/1671

Given numbers are 6915/601,9924/1671

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 6915,9924

Least Common Multiple of Numerators i.e. LCM of 6915,9924 is 22874820.

GCF of Denominators means GCF of 601,1671 as per the given fractions.

GCF of 601,1671 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6915,9924

LCM of Fractions 6915/601,9924/1671 is 22874820

3 6915, 9924
2305, 3308

∴ So the LCM of the given numbers is 3 x 2305 x 3308 = 22874820

Least Common Multiple of 6915,9924 with GCF Formula

Least Common Multiple of 6915,9924 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 6915,9924 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6915,9924) = 3

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

GCF(6915,9924) x common factors =3 x 1 = 3

LCM(6915,9924) = ( 6915 × 9924 ) / 3

LCM(6915,9924) = 68624460 / 3

LCM(6915,9924) = 22874820


Lets's calculate GCF of 601,1671

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 22874820/1

Therefore the LCM of Fractions 6915/601,9924/1671 is 22874820

Greatest Common Factor of 601,1671 By Matching Biggest Common Factor Method

Greatest Common Factor of 601,1671 By Matching Biggest Common Factor Method

Factors of 601

List of positive integer factors of 601 that divides 601 without a remainder.

1,601

Factors of 1671

List of positive integer factors of 1671 that divides 1671 without a remainder.

1,3,557,1671

Greatest Common Factor

We found the factors 601,1671 . The biggest common factor number is the GCF number.
So the greatest common factor 601,1671 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 6915/601, 9924/1671

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 6915/601, 9924/1671?

Answer: LCM of Numerators as per given numbers 6915/601, 9924/1671 is

LCM of Numerators i.e. for 6915,9924 is 22874820

GCF of denominators i.e. for 601,1671 is 1.

Thus, LCM of Fractions is 22874820.Finally, LCM of Fractions for 6915/601, 9924/1671 is 22874820.