Least Common Multiple of 73/159, 830/85, 102/920

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 73/159, 830/85, 102/920 quickly i.e. 3090090 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 73/159, 830/85, 102/920 is 3090090.

LCM(73/159, 830/85, 102/920) = 3090090

LCM of 73/159, 830/85, 102/920

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 73/159,830/85,102/920

Given numbers are 73/159,830/85,102/920

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 73,830,102

Least Common Multiple of Numerators i.e. LCM of 73,830,102 is 3090090.

GCF of Denominators means GCF of 159,85,920 as per the given fractions.

GCF of 159,85,920 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 73,830,102

LCM of Fractions 73/159,830/85,102/920 is 3090090

2 73, 830, 102
73, 415, 51

∴ So the LCM of the given numbers is 2 x 73 x 415 x 51 = 3090090

Least Common Multiple of 73,830,102 with GCF Formula

Least Common Multiple of 73,830,102 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 73,830,102 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(73,830,102) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(73,830,102) x common factors =1 x 2 = 2

LCM(73,830,102) = ( 73 × 830 × 102 ) / 2

LCM(73,830,102) = 6180180 / 2

LCM(73,830,102) = 3090090


Lets's calculate GCF of 159,85,920

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3090090/1

Therefore the LCM of Fractions 73/159,830/85,102/920 is 3090090

Greatest Common Factor of 159,85,920 By Matching Biggest Common Factor Method

Greatest Common Factor of 159,85,920 By Matching Biggest Common Factor Method

Factors of 159

List of positive integer factors of 159 that divides 159 without a remainder.

1,3,53,159

Factors of 85

List of positive integer factors of 85 that divides 85 without a remainder.

1,5,17,85

Factors of 920

List of positive integer factors of 920 that divides 920 without a remainder.

1,2,4,5,8,10,20,23,40,46,92,115,184,230,460,920

Greatest Common Factor

We found the factors 159,85,920 . The biggest common factor number is the GCF number.
So the greatest common factor 159,85,920 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 73/159, 830/85, 102/920

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 73/159, 830/85, 102/920?

Answer: LCM of Numerators as per given numbers 73/159, 830/85, 102/920 is

LCM of Numerators i.e. for 73,830,102 is 3090090

GCF of denominators i.e. for 159,85,920 is 1.

Thus, LCM of Fractions is 3090090.Finally, LCM of Fractions for 73/159, 830/85, 102/920 is 3090090.