Least Common Multiple of 8495/543, 8319/5646

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 8495/543, 8319/5646 quickly i.e. 23556635 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 8495/543, 8319/5646 is 23556635.

LCM(8495/543, 8319/5646) = 23556635

LCM of 8495/543, 8319/5646

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 8495/543,8319/5646

Given numbers are 8495/543,8319/5646

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 8495,8319

Least Common Multiple of Numerators i.e. LCM of 8495,8319 is 70669905.

GCF of Denominators means GCF of 543,5646 as per the given fractions.

GCF of 543,5646 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 8495,8319

LCM of Fractions 8495/543,8319/5646 is 23556635

Given numbers has no common factors except 1. So, there LCM is their product i.e 70669905

Least Common Multiple of 8495,8319 with GCF Formula

Least Common Multiple of 8495,8319 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 8495,8319 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8495,8319) = 1

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

GCF(8495,8319) x common factors =1 x 1 = 1

LCM(8495,8319) = ( 8495 × 8319 ) / 1

LCM(8495,8319) = 70669905 / 1

LCM(8495,8319) = 70669905


Lets's calculate GCF of 543,5646

3 543, 5646
181, 1882

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 70669905/3

Therefore the LCM of Fractions 8495/543,8319/5646 is 23556635

Greatest Common Factor of 543,5646 By Matching Biggest Common Factor Method

Greatest Common Factor of 543,5646 By Matching Biggest Common Factor Method

Factors of 543

List of positive integer factors of 543 that divides 543 without a remainder.

1,3,181,543

Factors of 5646

List of positive integer factors of 5646 that divides 5646 without a remainder.

1,2,3,6,941,1882,2823,5646

Greatest Common Factor

We found the factors 543,5646 . The biggest common factor number is the GCF number.
So the greatest common factor 543,5646 is 3.


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 8495/543, 8319/5646

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 8495/543, 8319/5646?

Answer: LCM of Numerators as per given numbers 8495/543, 8319/5646 is

LCM of Numerators i.e. for 8495,8319 is 70669905

GCF of denominators i.e. for 543,5646 is 3.

Thus, LCM of Fractions is 23556635.Finally, LCM of Fractions for 8495/543, 8319/5646 is 23556635.