Least Common Multiple of 28/994, 89/688, 442/416

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 28/994, 89/688, 442/416 quickly i.e. 275366 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 28/994, 89/688, 442/416 is 275366.

LCM(28/994, 89/688, 442/416) = 275366

LCM of 28/994, 89/688, 442/416

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 28/994,89/688,442/416

Given numbers are 28/994,89/688,442/416

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 28,89,442

Least Common Multiple of Numerators i.e. LCM of 28,89,442 is 550732.

GCF of Denominators means GCF of 994,688,416 as per the given fractions.

GCF of 994,688,416 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 28,89,442

LCM of Fractions 28/994,89/688,442/416 is 275366

2 28, 89, 442
14, 89, 221

∴ So the LCM of the given numbers is 2 x 14 x 89 x 221 = 550732

Least Common Multiple of 28,89,442 with GCF Formula

Least Common Multiple of 28,89,442 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 28,89,442 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(28,89,442) = 1

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

GCF(28,89,442) x common factors =1 x 2 = 2

LCM(28,89,442) = ( 28 × 89 × 442 ) / 2

LCM(28,89,442) = 1101464 / 2

LCM(28,89,442) = 550732


Lets's calculate GCF of 994,688,416

2 994, 688, 416
497, 344, 208

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 550732/2

Therefore the LCM of Fractions 28/994,89/688,442/416 is 275366

Greatest Common Factor of 994,688,416 By Matching Biggest Common Factor Method

Greatest Common Factor of 994,688,416 By Matching Biggest Common Factor Method

Factors of 994

List of positive integer factors of 994 that divides 994 without a remainder.

1,2,7,14,71,142,497,994

Factors of 688

List of positive integer factors of 688 that divides 688 without a remainder.

1,2,4,8,16,43,86,172,344,688

Factors of 416

List of positive integer factors of 416 that divides 416 without a remainder.

1,2,4,8,13,16,26,32,52,104,208,416

Greatest Common Factor

We found the factors 994,688,416 . The biggest common factor number is the GCF number.
So the greatest common factor 994,688,416 is 2.


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 28/994, 89/688, 442/416

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 28/994, 89/688, 442/416?

Answer: LCM of Numerators as per given numbers 28/994, 89/688, 442/416 is

LCM of Numerators i.e. for 28,89,442 is 550732

GCF of denominators i.e. for 994,688,416 is 2.

Thus, LCM of Fractions is 275366.Finally, LCM of Fractions for 28/994, 89/688, 442/416 is 275366.