Least Common Multiple of 28/52, 19/99, 694/642

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 28/52, 19/99, 694/642 quickly i.e. 184604 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 28/52, 19/99, 694/642 is 184604.

LCM(28/52, 19/99, 694/642) = 184604

LCM of 28/52, 19/99, 694/642

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 28/52,19/99,694/642

Given numbers are 28/52,19/99,694/642

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 28,19,694

Least Common Multiple of Numerators i.e. LCM of 28,19,694 is 184604.

GCF of Denominators means GCF of 52,99,642 as per the given fractions.

GCF of 52,99,642 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 28,19,694

LCM of Fractions 28/52,19/99,694/642 is 184604

2 28, 19, 694
14, 19, 347

∴ So the LCM of the given numbers is 2 x 14 x 19 x 347 = 184604

Least Common Multiple of 28,19,694 with GCF Formula

Least Common Multiple of 28,19,694 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 28,19,694 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(28,19,694) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(28,19,694) x common factors =1 x 2 = 2

LCM(28,19,694) = ( 28 × 19 × 694 ) / 2

LCM(28,19,694) = 369208 / 2

LCM(28,19,694) = 184604


Lets's calculate GCF of 52,99,642

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 184604/1

Therefore the LCM of Fractions 28/52,19/99,694/642 is 184604

Greatest Common Factor of 52,99,642 By Matching Biggest Common Factor Method

Greatest Common Factor of 52,99,642 By Matching Biggest Common Factor Method

Factors of 52

List of positive integer factors of 52 that divides 52 without a remainder.

1,2,4,13,26,52

Factors of 99

List of positive integer factors of 99 that divides 99 without a remainder.

1,3,9,11,33,99

Factors of 642

List of positive integer factors of 642 that divides 642 without a remainder.

1,2,3,6,107,214,321,642

Greatest Common Factor

We found the factors 52,99,642 . The biggest common factor number is the GCF number.
So the greatest common factor 52,99,642 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 28/52, 19/99, 694/642

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 28/52, 19/99, 694/642?

Answer: LCM of Numerators as per given numbers 28/52, 19/99, 694/642 is

LCM of Numerators i.e. for 28,19,694 is 184604

GCF of denominators i.e. for 52,99,642 is 1.

Thus, LCM of Fractions is 184604.Finally, LCM of Fractions for 28/52, 19/99, 694/642 is 184604.