Least Common Multiple of 282/31, 875/86, 990/623

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 282/31, 875/86, 990/623 quickly i.e. 8142750 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 282/31, 875/86, 990/623 is 8142750.

LCM(282/31, 875/86, 990/623) = 8142750

LCM of 282/31, 875/86, 990/623

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 282/31,875/86,990/623

Given numbers are 282/31,875/86,990/623

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 282,875,990

Least Common Multiple of Numerators i.e. LCM of 282,875,990 is 8142750.

GCF of Denominators means GCF of 31,86,623 as per the given fractions.

GCF of 31,86,623 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 282,875,990

LCM of Fractions 282/31,875/86,990/623 is 8142750

2 282, 875, 990
3 141, 875, 495
5 47, 875, 165
47, 175, 33

∴ So the LCM of the given numbers is 2 x 3 x 5 x 47 x 175 x 33 = 8142750

Least Common Multiple of 282,875,990 with GCF Formula

Least Common Multiple of 282,875,990 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 282,875,990 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(282,875,990) = 1

common factors(in case of two or more numbers have common factors) = 30

GCF(282,875,990) x common factors =1 x 30 = 30

LCM(282,875,990) = ( 282 × 875 × 990 ) / 30

LCM(282,875,990) = 244282500 / 30

LCM(282,875,990) = 8142750


Lets's calculate GCF of 31,86,623

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8142750/1

Therefore the LCM of Fractions 282/31,875/86,990/623 is 8142750

Greatest Common Factor of 31,86,623 By Matching Biggest Common Factor Method

Greatest Common Factor of 31,86,623 By Matching Biggest Common Factor Method

Factors of 31

List of positive integer factors of 31 that divides 31 without a remainder.

1,31

Factors of 86

List of positive integer factors of 86 that divides 86 without a remainder.

1,2,43,86

Factors of 623

List of positive integer factors of 623 that divides 623 without a remainder.

1,7,89,623

Greatest Common Factor

We found the factors 31,86,623 . The biggest common factor number is the GCF number.
So the greatest common factor 31,86,623 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 282/31, 875/86, 990/623

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 282/31, 875/86, 990/623?

Answer: LCM of Numerators as per given numbers 282/31, 875/86, 990/623 is

LCM of Numerators i.e. for 282,875,990 is 8142750

GCF of denominators i.e. for 31,86,623 is 1.

Thus, LCM of Fractions is 8142750.Finally, LCM of Fractions for 282/31, 875/86, 990/623 is 8142750.