Least Common Multiple of 69/543, 20/193, 995/129

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 69/543, 20/193, 995/129 quickly i.e. 274620 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 69/543, 20/193, 995/129 is 274620.

LCM(69/543, 20/193, 995/129) = 274620

LCM of 69/543, 20/193, 995/129

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 69/543,20/193,995/129

Given numbers are 69/543,20/193,995/129

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 69,20,995

Least Common Multiple of Numerators i.e. LCM of 69,20,995 is 274620.

GCF of Denominators means GCF of 543,193,129 as per the given fractions.

GCF of 543,193,129 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 69,20,995

LCM of Fractions 69/543,20/193,995/129 is 274620

5 69, 20, 995
69, 4, 199

∴ So the LCM of the given numbers is 5 x 69 x 4 x 199 = 274620

Least Common Multiple of 69,20,995 with GCF Formula

Least Common Multiple of 69,20,995 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 69,20,995 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(69,20,995) = 1

common factors(in case of two or more numbers have common factors) = 5

GCF(69,20,995) x common factors =1 x 5 = 5

LCM(69,20,995) = ( 69 × 20 × 995 ) / 5

LCM(69,20,995) = 1373100 / 5

LCM(69,20,995) = 274620


Lets's calculate GCF of 543,193,129

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 274620/1

Therefore the LCM of Fractions 69/543,20/193,995/129 is 274620

Greatest Common Factor of 543,193,129 By Matching Biggest Common Factor Method

Greatest Common Factor of 543,193,129 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 193

List of positive integer factors of 193 that divides 193 without a remainder.

1,193

Factors of 129

List of positive integer factors of 129 that divides 129 without a remainder.

1,3,43,129

Greatest Common Factor

We found the factors 543,193,129 . The biggest common factor number is the GCF number.
So the greatest common factor 543,193,129 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 69/543, 20/193, 995/129

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 69/543, 20/193, 995/129?

Answer: LCM of Numerators as per given numbers 69/543, 20/193, 995/129 is

LCM of Numerators i.e. for 69,20,995 is 274620

GCF of denominators i.e. for 543,193,129 is 1.

Thus, LCM of Fractions is 274620.Finally, LCM of Fractions for 69/543, 20/193, 995/129 is 274620.