Least Common Multiple of 84/102, 18/340, 783/844

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 84/102, 18/340, 783/844 quickly i.e. 10962 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 84/102, 18/340, 783/844 is 10962.

LCM(84/102, 18/340, 783/844) = 10962

LCM of 84/102, 18/340, 783/844

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 84/102,18/340,783/844

Given numbers are 84/102,18/340,783/844

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 84,18,783

Least Common Multiple of Numerators i.e. LCM of 84,18,783 is 21924.

GCF of Denominators means GCF of 102,340,844 as per the given fractions.

GCF of 102,340,844 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 84,18,783

LCM of Fractions 84/102,18/340,783/844 is 10962

2 84, 18, 783
3 42, 9, 783
3 14, 3, 261
14, 1, 87

∴ So the LCM of the given numbers is 2 x 3 x 3 x 14 x 1 x 87 = 21924

Least Common Multiple of 84,18,783 with GCF Formula

Least Common Multiple of 84,18,783 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 84,18,783 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(84,18,783) = 3

common factors(in case of two or more numbers have common factors) = 18

GCF(84,18,783) x common factors =3 x 18 = 54

LCM(84,18,783) = ( 84 × 18 × 783 ) / 54

LCM(84,18,783) = 1183896 / 54

LCM(84,18,783) = 21924


Lets's calculate GCF of 102,340,844

2 102, 340, 844
51, 170, 422

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 21924/2

Therefore the LCM of Fractions 84/102,18/340,783/844 is 10962

Greatest Common Factor of 102,340,844 By Matching Biggest Common Factor Method

Greatest Common Factor of 102,340,844 By Matching Biggest Common Factor Method

Factors of 102

List of positive integer factors of 102 that divides 102 without a remainder.

1,2,3,6,17,34,51,102

Factors of 340

List of positive integer factors of 340 that divides 340 without a remainder.

1,2,4,5,10,17,20,34,68,85,170,340

Factors of 844

List of positive integer factors of 844 that divides 844 without a remainder.

1,2,4,211,422,844

Greatest Common Factor

We found the factors 102,340,844 . The biggest common factor number is the GCF number.
So the greatest common factor 102,340,844 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 84/102, 18/340, 783/844

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 84/102, 18/340, 783/844?

Answer: LCM of Numerators as per given numbers 84/102, 18/340, 783/844 is

LCM of Numerators i.e. for 84,18,783 is 21924

GCF of denominators i.e. for 102,340,844 is 2.

Thus, LCM of Fractions is 10962.Finally, LCM of Fractions for 84/102, 18/340, 783/844 is 10962.