Least Common Multiple of 61/15, 208/76, 543/342

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 61/15, 208/76, 543/342 quickly i.e. 6889584 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 61/15, 208/76, 543/342 is 6889584.

LCM(61/15, 208/76, 543/342) = 6889584

LCM of 61/15, 208/76, 543/342

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 61/15,208/76,543/342

Given numbers are 61/15,208/76,543/342

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 61,208,543

Least Common Multiple of Numerators i.e. LCM of 61,208,543 is 6889584.

GCF of Denominators means GCF of 15,76,342 as per the given fractions.

GCF of 15,76,342 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 61,208,543

LCM of Fractions 61/15,208/76,543/342 is 6889584

Given numbers has no common factors except 1. So, there LCM is their product i.e 6889584

Least Common Multiple of 61,208,543 with GCF Formula

Least Common Multiple of 61,208,543 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 61,208,543 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(61,208,543) = 1

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

GCF(61,208,543) x common factors =1 x 1 = 1

LCM(61,208,543) = ( 61 × 208 × 543 ) / 1

LCM(61,208,543) = 6889584 / 1

LCM(61,208,543) = 6889584


Lets's calculate GCF of 15,76,342

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6889584/1

Therefore the LCM of Fractions 61/15,208/76,543/342 is 6889584

Greatest Common Factor of 15,76,342 By Matching Biggest Common Factor Method

Greatest Common Factor of 15,76,342 By Matching Biggest Common Factor Method

Factors of 15

List of positive integer factors of 15 that divides 15 without a remainder.

1,3,5,15

Factors of 76

List of positive integer factors of 76 that divides 76 without a remainder.

1,2,4,19,38,76

Factors of 342

List of positive integer factors of 342 that divides 342 without a remainder.

1,2,3,6,9,18,19,38,57,114,171,342

Greatest Common Factor

We found the factors 15,76,342 . The biggest common factor number is the GCF number.
So the greatest common factor 15,76,342 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 61/15, 208/76, 543/342

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 61/15, 208/76, 543/342?

Answer: LCM of Numerators as per given numbers 61/15, 208/76, 543/342 is

LCM of Numerators i.e. for 61,208,543 is 6889584

GCF of denominators i.e. for 15,76,342 is 1.

Thus, LCM of Fractions is 6889584.Finally, LCM of Fractions for 61/15, 208/76, 543/342 is 6889584.