Least Common Multiple of 496/73, 207/8654

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 496/73, 207/8654 quickly i.e. 102672 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 496/73, 207/8654 is 102672.

LCM(496/73, 207/8654) = 102672

LCM of 496/73, 207/8654

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 496/73,207/8654

Given numbers are 496/73,207/8654

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 496,207

Least Common Multiple of Numerators i.e. LCM of 496,207 is 102672.

GCF of Denominators means GCF of 73,8654 as per the given fractions.

GCF of 73,8654 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 496,207

LCM of Fractions 496/73,207/8654 is 102672

Given numbers has no common factors except 1. So, there LCM is their product i.e 102672

Least Common Multiple of 496,207 with GCF Formula

Least Common Multiple of 496,207 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 496,207 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(496,207) = 1

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

GCF(496,207) x common factors =1 x 1 = 1

LCM(496,207) = ( 496 × 207 ) / 1

LCM(496,207) = 102672 / 1

LCM(496,207) = 102672


Lets's calculate GCF of 73,8654

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 102672/1

Therefore the LCM of Fractions 496/73,207/8654 is 102672

Greatest Common Factor of 73,8654 By Matching Biggest Common Factor Method

Greatest Common Factor of 73,8654 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 8654

List of positive integer factors of 8654 that divides 8654 without a remainder.

1,2,4327,8654

Greatest Common Factor

We found the factors 73,8654 . The biggest common factor number is the GCF number.
So the greatest common factor 73,8654 is 1.


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 496/73, 207/8654

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 496/73, 207/8654?

Answer: LCM of Numerators as per given numbers 496/73, 207/8654 is

LCM of Numerators i.e. for 496,207 is 102672

GCF of denominators i.e. for 73,8654 is 1.

Thus, LCM of Fractions is 102672.Finally, LCM of Fractions for 496/73, 207/8654 is 102672.