Least Common Multiple of 83/655, 596/912, 170/296

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 83/655, 596/912, 170/296 quickly i.e. 4204780 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 83/655, 596/912, 170/296 is 4204780.

LCM(83/655, 596/912, 170/296) = 4204780

LCM of 83/655, 596/912, 170/296

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 83/655,596/912,170/296

Given numbers are 83/655,596/912,170/296

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 83,596,170

Least Common Multiple of Numerators i.e. LCM of 83,596,170 is 4204780.

GCF of Denominators means GCF of 655,912,296 as per the given fractions.

GCF of 655,912,296 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 83,596,170

LCM of Fractions 83/655,596/912,170/296 is 4204780

2 83, 596, 170
83, 298, 85

∴ So the LCM of the given numbers is 2 x 83 x 298 x 85 = 4204780

Least Common Multiple of 83,596,170 with GCF Formula

Least Common Multiple of 83,596,170 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 83,596,170 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(83,596,170) = 1

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

GCF(83,596,170) x common factors =1 x 2 = 2

LCM(83,596,170) = ( 83 × 596 × 170 ) / 2

LCM(83,596,170) = 8409560 / 2

LCM(83,596,170) = 4204780


Lets's calculate GCF of 655,912,296

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4204780/1

Therefore the LCM of Fractions 83/655,596/912,170/296 is 4204780

Greatest Common Factor of 655,912,296 By Matching Biggest Common Factor Method

Greatest Common Factor of 655,912,296 By Matching Biggest Common Factor Method

Factors of 655

List of positive integer factors of 655 that divides 655 without a remainder.

1,5,131,655

Factors of 912

List of positive integer factors of 912 that divides 912 without a remainder.

1,2,3,4,6,8,12,16,19,24,38,48,57,76,114,152,228,304,456,912

Factors of 296

List of positive integer factors of 296 that divides 296 without a remainder.

1,2,4,8,37,74,148,296

Greatest Common Factor

We found the factors 655,912,296 . The biggest common factor number is the GCF number.
So the greatest common factor 655,912,296 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 83/655, 596/912, 170/296

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 83/655, 596/912, 170/296?

Answer: LCM of Numerators as per given numbers 83/655, 596/912, 170/296 is

LCM of Numerators i.e. for 83,596,170 is 4204780

GCF of denominators i.e. for 655,912,296 is 1.

Thus, LCM of Fractions is 4204780.Finally, LCM of Fractions for 83/655, 596/912, 170/296 is 4204780.