Least Common Multiple of 103/16, 771/69, 642/188

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 103/16, 771/69, 642/188 quickly i.e. 16994382 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 103/16, 771/69, 642/188 is 16994382.

LCM(103/16, 771/69, 642/188) = 16994382

LCM of 103/16, 771/69, 642/188

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 103/16,771/69,642/188

Given numbers are 103/16,771/69,642/188

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 103,771,642

Least Common Multiple of Numerators i.e. LCM of 103,771,642 is 16994382.

GCF of Denominators means GCF of 16,69,188 as per the given fractions.

GCF of 16,69,188 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 103,771,642

LCM of Fractions 103/16,771/69,642/188 is 16994382

3 103, 771, 642
103, 257, 214

∴ So the LCM of the given numbers is 3 x 103 x 257 x 214 = 16994382

Least Common Multiple of 103,771,642 with GCF Formula

Least Common Multiple of 103,771,642 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 103,771,642 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(103,771,642) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(103,771,642) x common factors =1 x 3 = 3

LCM(103,771,642) = ( 103 × 771 × 642 ) / 3

LCM(103,771,642) = 50983146 / 3

LCM(103,771,642) = 16994382


Lets's calculate GCF of 16,69,188

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 16994382/1

Therefore the LCM of Fractions 103/16,771/69,642/188 is 16994382

Greatest Common Factor of 16,69,188 By Matching Biggest Common Factor Method

Greatest Common Factor of 16,69,188 By Matching Biggest Common Factor Method

Factors of 16

List of positive integer factors of 16 that divides 16 without a remainder.

1,2,4,8,16

Factors of 69

List of positive integer factors of 69 that divides 69 without a remainder.

1,3,23,69

Factors of 188

List of positive integer factors of 188 that divides 188 without a remainder.

1,2,4,47,94,188

Greatest Common Factor

We found the factors 16,69,188 . The biggest common factor number is the GCF number.
So the greatest common factor 16,69,188 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 103/16, 771/69, 642/188

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 103/16, 771/69, 642/188?

Answer: LCM of Numerators as per given numbers 103/16, 771/69, 642/188 is

LCM of Numerators i.e. for 103,771,642 is 16994382

GCF of denominators i.e. for 16,69,188 is 1.

Thus, LCM of Fractions is 16994382.Finally, LCM of Fractions for 103/16, 771/69, 642/188 is 16994382.