Least Common Multiple of 83/812, 87/622, 738/824

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 83/812, 87/622, 738/824 quickly i.e. 888183 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 83/812, 87/622, 738/824 is 888183.

LCM(83/812, 87/622, 738/824) = 888183

LCM of 83/812, 87/622, 738/824

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 83/812,87/622,738/824

Given numbers are 83/812,87/622,738/824

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 83,87,738

Least Common Multiple of Numerators i.e. LCM of 83,87,738 is 1776366.

GCF of Denominators means GCF of 812,622,824 as per the given fractions.

GCF of 812,622,824 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 83,87,738

LCM of Fractions 83/812,87/622,738/824 is 888183

3 83, 87, 738
83, 29, 246

∴ So the LCM of the given numbers is 3 x 83 x 29 x 246 = 1776366

Least Common Multiple of 83,87,738 with GCF Formula

Least Common Multiple of 83,87,738 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 83,87,738 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(83,87,738) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(83,87,738) x common factors =1 x 3 = 3

LCM(83,87,738) = ( 83 × 87 × 738 ) / 3

LCM(83,87,738) = 5329098 / 3

LCM(83,87,738) = 1776366


Lets's calculate GCF of 812,622,824

2 812, 622, 824
406, 311, 412

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1776366/2

Therefore the LCM of Fractions 83/812,87/622,738/824 is 888183

Greatest Common Factor of 812,622,824 By Matching Biggest Common Factor Method

Greatest Common Factor of 812,622,824 By Matching Biggest Common Factor Method

Factors of 812

List of positive integer factors of 812 that divides 812 without a remainder.

1,2,4,7,14,28,29,58,116,203,406,812

Factors of 622

List of positive integer factors of 622 that divides 622 without a remainder.

1,2,311,622

Factors of 824

List of positive integer factors of 824 that divides 824 without a remainder.

1,2,4,8,103,206,412,824

Greatest Common Factor

We found the factors 812,622,824 . The biggest common factor number is the GCF number.
So the greatest common factor 812,622,824 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 83/812, 87/622, 738/824

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 83/812, 87/622, 738/824?

Answer: LCM of Numerators as per given numbers 83/812, 87/622, 738/824 is

LCM of Numerators i.e. for 83,87,738 is 1776366

GCF of denominators i.e. for 812,622,824 is 2.

Thus, LCM of Fractions is 888183.Finally, LCM of Fractions for 83/812, 87/622, 738/824 is 888183.