Least Common Multiple of 8497/73, 6995/438

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 8497/73, 6995/438 quickly i.e. 59436515/73 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 8497/73, 6995/438 is 59436515/73.

LCM(8497/73, 6995/438) = 59436515/73

LCM of 8497/73, 6995/438

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 8497/73,6995/438

Given numbers are 8497/73,6995/438

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 8497,6995

Least Common Multiple of Numerators i.e. LCM of 8497,6995 is 59436515.

GCF of Denominators means GCF of 73,438 as per the given fractions.

GCF of 73,438 is 73 as it is the largest common factor for these numbers.

Lets's calculate LCM of 8497,6995

LCM of Fractions 8497/73,6995/438 is 59436515/73

Given numbers has no common factors except 1. So, there LCM is their product i.e 59436515

Least Common Multiple of 8497,6995 with GCF Formula

Least Common Multiple of 8497,6995 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 8497,6995 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8497,6995) = 1

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

GCF(8497,6995) x common factors =1 x 1 = 1

LCM(8497,6995) = ( 8497 × 6995 ) / 1

LCM(8497,6995) = 59436515 / 1

LCM(8497,6995) = 59436515


Lets's calculate GCF of 73,438

73 73, 438
1, 6

∴ So the GCF of the given numbers is 73 = 73

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 59436515/73

Therefore the LCM of Fractions 8497/73,6995/438 is 59436515/73

Greatest Common Factor of 73,438 By Matching Biggest Common Factor Method

Greatest Common Factor of 73,438 By Matching Biggest Common Factor Method

Factors of 73

List of positive integer factors of 73 that divides 73 without a remainder.

1,73

Factors of 438

List of positive integer factors of 438 that divides 438 without a remainder.

1,2,3,6,73,146,219,438

Greatest Common Factor

We found the factors 73,438 . The biggest common factor number is the GCF number.
So the greatest common factor 73,438 is 73.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 8497/73, 6995/438

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 8497/73, 6995/438?

Answer: LCM of Numerators as per given numbers 8497/73, 6995/438 is

LCM of Numerators i.e. for 8497,6995 is 59436515

GCF of denominators i.e. for 73,438 is 73.

Thus, LCM of Fractions is 59436515/73.Finally, LCM of Fractions for 8497/73, 6995/438 is 59436515/73.