Least Common Multiple of 96/690, 170/65, 355/570

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 96/690, 170/65, 355/570 quickly i.e. 115872 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 96/690, 170/65, 355/570 is 115872.

LCM(96/690, 170/65, 355/570) = 115872

LCM of 96/690, 170/65, 355/570

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 96/690,170/65,355/570

Given numbers are 96/690,170/65,355/570

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 96,170,355

Least Common Multiple of Numerators i.e. LCM of 96,170,355 is 579360.

GCF of Denominators means GCF of 690,65,570 as per the given fractions.

GCF of 690,65,570 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 96,170,355

LCM of Fractions 96/690,170/65,355/570 is 115872

2 96, 170, 355
5 48, 85, 355
48, 17, 71

∴ So the LCM of the given numbers is 2 x 5 x 48 x 17 x 71 = 579360

Least Common Multiple of 96,170,355 with GCF Formula

Least Common Multiple of 96,170,355 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 96,170,355 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(96,170,355) = 1

common factors(in case of two or more numbers have common factors) = 10

GCF(96,170,355) x common factors =1 x 10 = 10

LCM(96,170,355) = ( 96 × 170 × 355 ) / 10

LCM(96,170,355) = 5793600 / 10

LCM(96,170,355) = 579360


Lets's calculate GCF of 690,65,570

5 690, 65, 570
138, 13, 114

∴ So the GCF of the given numbers is 5 = 5

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 579360/5

Therefore the LCM of Fractions 96/690,170/65,355/570 is 115872

Greatest Common Factor of 690,65,570 By Matching Biggest Common Factor Method

Greatest Common Factor of 690,65,570 By Matching Biggest Common Factor Method

Factors of 690

List of positive integer factors of 690 that divides 690 without a remainder.

1,2,3,5,6,10,15,23,30,46,69,115,138,230,345,690

Factors of 65

List of positive integer factors of 65 that divides 65 without a remainder.

1,5,13,65

Factors of 570

List of positive integer factors of 570 that divides 570 without a remainder.

1,2,3,5,6,10,15,19,30,38,57,95,114,190,285,570

Greatest Common Factor

We found the factors 690,65,570 . The biggest common factor number is the GCF number.
So the greatest common factor 690,65,570 is 5.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 96/690, 170/65, 355/570

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 96/690, 170/65, 355/570?

Answer: LCM of Numerators as per given numbers 96/690, 170/65, 355/570 is

LCM of Numerators i.e. for 96,170,355 is 579360

GCF of denominators i.e. for 690,65,570 is 5.

Thus, LCM of Fractions is 115872.Finally, LCM of Fractions for 96/690, 170/65, 355/570 is 115872.