Least Common Multiple of 39/43, 23/65, 83/97, 24/911

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 39/43, 23/65, 83/97, 24/911 quickly i.e. 595608 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 39/43, 23/65, 83/97, 24/911 is 595608.

LCM(39/43, 23/65, 83/97, 24/911) = 595608

LCM of 39/43, 23/65, 83/97, 24/911

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 39/43,23/65,83/97,24/911

Given numbers are 39/43,23/65,83/97,24/911

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 39,23,83,24

Least Common Multiple of Numerators i.e. LCM of 39,23,83,24 is 595608.

GCF of Denominators means GCF of 43,65,97,911 as per the given fractions.

GCF of 43,65,97,911 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 39,23,83,24

LCM of Fractions 39/43,23/65,83/97,24/911 is 595608

3 39, 23, 83, 24
13, 23, 83, 8

∴ So the LCM of the given numbers is 3 x 13 x 23 x 83 x 8 = 595608

Least Common Multiple of 39,23,83,24 with GCF Formula

Least Common Multiple of 39,23,83,24 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 39,23,83,24 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(39,23,83,24) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(39,23,83,24) x common factors =1 x 3 = 3

LCM(39,23,83,24) = ( 39 × 23 × 83 × 24 ) / 3

LCM(39,23,83,24) = 1786824 / 3

LCM(39,23,83,24) = 595608


Lets's calculate GCF of 43,65,97,911

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 595608/1

Therefore the LCM of Fractions 39/43,23/65,83/97,24/911 is 595608

Greatest Common Factor of 43,65,97,911 By Matching Biggest Common Factor Method

Greatest Common Factor of 43,65,97,911 By Matching Biggest Common Factor Method

Factors of 43

List of positive integer factors of 43 that divides 43 without a remainder.

1,43

Factors of 65

List of positive integer factors of 65 that divides 65 without a remainder.

1,5,13,65

Factors of 97

List of positive integer factors of 97 that divides 97 without a remainder.

1,97

Factors of 911

List of positive integer factors of 911 that divides 911 without a remainder.

1,911

Greatest Common Factor

We found the factors 43,65,97,911 . The biggest common factor number is the GCF number.
So the greatest common factor 43,65,97,911 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 39/43, 23/65, 83/97, 24/911

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 39/43, 23/65, 83/97, 24/911?

Answer: LCM of Numerators as per given numbers 39/43, 23/65, 83/97, 24/911 is

LCM of Numerators i.e. for 39,23,83,24 is 595608

GCF of denominators i.e. for 43,65,97,911 is 1.

Thus, LCM of Fractions is 595608.Finally, LCM of Fractions for 39/43, 23/65, 83/97, 24/911 is 595608.