Least Common Multiple of 28/84, 96/25, 474/748

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 28/84, 96/25, 474/748 quickly i.e. 53088 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 28/84, 96/25, 474/748 is 53088.

LCM(28/84, 96/25, 474/748) = 53088

LCM of 28/84, 96/25, 474/748

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 28/84,96/25,474/748

Given numbers are 28/84,96/25,474/748

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 28,96,474

Least Common Multiple of Numerators i.e. LCM of 28,96,474 is 53088.

GCF of Denominators means GCF of 84,25,748 as per the given fractions.

GCF of 84,25,748 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 28,96,474

LCM of Fractions 28/84,96/25,474/748 is 53088

2 28, 96, 474
2 14, 48, 237
3 7, 24, 237
7, 8, 79

∴ So the LCM of the given numbers is 2 x 2 x 3 x 7 x 8 x 79 = 53088

Least Common Multiple of 28,96,474 with GCF Formula

Least Common Multiple of 28,96,474 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 28,96,474 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(28,96,474) = 2

common factors(in case of two or more numbers have common factors) = 12

GCF(28,96,474) x common factors =2 x 12 = 24

LCM(28,96,474) = ( 28 × 96 × 474 ) / 24

LCM(28,96,474) = 1274112 / 24

LCM(28,96,474) = 53088


Lets's calculate GCF of 84,25,748

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 53088/1

Therefore the LCM of Fractions 28/84,96/25,474/748 is 53088

Greatest Common Factor of 84,25,748 By Matching Biggest Common Factor Method

Greatest Common Factor of 84,25,748 By Matching Biggest Common Factor Method

Factors of 84

List of positive integer factors of 84 that divides 84 without a remainder.

1,2,3,4,6,7,12,14,21,28,42,84

Factors of 25

List of positive integer factors of 25 that divides 25 without a remainder.

1,5,25

Factors of 748

List of positive integer factors of 748 that divides 748 without a remainder.

1,2,4,11,17,22,34,44,68,187,374,748

Greatest Common Factor

We found the factors 84,25,748 . The biggest common factor number is the GCF number.
So the greatest common factor 84,25,748 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 28/84, 96/25, 474/748

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 28/84, 96/25, 474/748?

Answer: LCM of Numerators as per given numbers 28/84, 96/25, 474/748 is

LCM of Numerators i.e. for 28,96,474 is 53088

GCF of denominators i.e. for 84,25,748 is 1.

Thus, LCM of Fractions is 53088.Finally, LCM of Fractions for 28/84, 96/25, 474/748 is 53088.