Least Common Multiple of 84/28, 90/15, 51/60, 40/827

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 84/28, 90/15, 51/60, 40/827 quickly i.e. 42840 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 84/28, 90/15, 51/60, 40/827 is 42840.

LCM(84/28, 90/15, 51/60, 40/827) = 42840

LCM of 84/28, 90/15, 51/60, 40/827

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 84/28,90/15,51/60,40/827

Given numbers are 84/28,90/15,51/60,40/827

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 84,90,51,40

Least Common Multiple of Numerators i.e. LCM of 84,90,51,40 is 42840.

GCF of Denominators means GCF of 28,15,60,827 as per the given fractions.

GCF of 28,15,60,827 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 84,90,51,40

LCM of Fractions 84/28,90/15,51/60,40/827 is 42840

2 84, 90, 51, 40
2 42, 45, 51, 20
3 21, 45, 51, 10
5 7, 15, 17, 10
7, 3, 17, 2

∴ So the LCM of the given numbers is 2 x 2 x 3 x 5 x 7 x 3 x 17 x 2 = 42840

Least Common Multiple of 84,90,51,40 with GCF Formula

Least Common Multiple of 84,90,51,40 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 84,90,51,40 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(84,90,51,40) = 1

common factors(in case of two or more numbers have common factors) = 360

GCF(84,90,51,40) x common factors =1 x 360 = 360

LCM(84,90,51,40) = ( 84 × 90 × 51 × 40 ) / 360

LCM(84,90,51,40) = 15422400 / 360

LCM(84,90,51,40) = 42840


Lets's calculate GCF of 28,15,60,827

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 42840/1

Therefore the LCM of Fractions 84/28,90/15,51/60,40/827 is 42840

Greatest Common Factor of 28,15,60,827 By Matching Biggest Common Factor Method

Greatest Common Factor of 28,15,60,827 By Matching Biggest Common Factor Method

Factors of 28

List of positive integer factors of 28 that divides 28 without a remainder.

1,2,4,7,14,28

Factors of 15

List of positive integer factors of 15 that divides 15 without a remainder.

1,3,5,15

Factors of 60

List of positive integer factors of 60 that divides 60 without a remainder.

1,2,3,4,5,6,10,12,15,20,30,60

Factors of 827

List of positive integer factors of 827 that divides 827 without a remainder.

1,827

Greatest Common Factor

We found the factors 28,15,60,827 . The biggest common factor number is the GCF number.
So the greatest common factor 28,15,60,827 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 84/28, 90/15, 51/60, 40/827

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 84/28, 90/15, 51/60, 40/827?

Answer: LCM of Numerators as per given numbers 84/28, 90/15, 51/60, 40/827 is

LCM of Numerators i.e. for 84,90,51,40 is 42840

GCF of denominators i.e. for 28,15,60,827 is 1.

Thus, LCM of Fractions is 42840.Finally, LCM of Fractions for 84/28, 90/15, 51/60, 40/827 is 42840.