Least Common Multiple of 28/78, 890/58, 534/268

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 28/78, 890/58, 534/268 quickly i.e. 18690 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 28/78, 890/58, 534/268 is 18690.

LCM(28/78, 890/58, 534/268) = 18690

LCM of 28/78, 890/58, 534/268

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 28/78,890/58,534/268

Given numbers are 28/78,890/58,534/268

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 28,890,534

Least Common Multiple of Numerators i.e. LCM of 28,890,534 is 37380.

GCF of Denominators means GCF of 78,58,268 as per the given fractions.

GCF of 78,58,268 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 28,890,534

LCM of Fractions 28/78,890/58,534/268 is 18690

2 28, 890, 534
89 14, 445, 267
14, 5, 3

∴ So the LCM of the given numbers is 2 x 89 x 14 x 5 x 3 = 37380

Least Common Multiple of 28,890,534 with GCF Formula

Least Common Multiple of 28,890,534 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 28,890,534 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(28,890,534) = 2

common factors(in case of two or more numbers have common factors) = 178

GCF(28,890,534) x common factors =2 x 178 = 356

LCM(28,890,534) = ( 28 × 890 × 534 ) / 356

LCM(28,890,534) = 13307280 / 356

LCM(28,890,534) = 37380


Lets's calculate GCF of 78,58,268

2 78, 58, 268
39, 29, 134

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 37380/2

Therefore the LCM of Fractions 28/78,890/58,534/268 is 18690

Greatest Common Factor of 78,58,268 By Matching Biggest Common Factor Method

Greatest Common Factor of 78,58,268 By Matching Biggest Common Factor Method

Factors of 78

List of positive integer factors of 78 that divides 78 without a remainder.

1,2,3,6,13,26,39,78

Factors of 58

List of positive integer factors of 58 that divides 58 without a remainder.

1,2,29,58

Factors of 268

List of positive integer factors of 268 that divides 268 without a remainder.

1,2,4,67,134,268

Greatest Common Factor

We found the factors 78,58,268 . The biggest common factor number is the GCF number.
So the greatest common factor 78,58,268 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 28/78, 890/58, 534/268

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 28/78, 890/58, 534/268?

Answer: LCM of Numerators as per given numbers 28/78, 890/58, 534/268 is

LCM of Numerators i.e. for 28,890,534 is 37380

GCF of denominators i.e. for 78,58,268 is 2.

Thus, LCM of Fractions is 18690.Finally, LCM of Fractions for 28/78, 890/58, 534/268 is 18690.