Least Common Multiple of 136/345, 410/169, 535/321

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 136/345, 410/169, 535/321 quickly i.e. 2983160 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 136/345, 410/169, 535/321 is 2983160.

LCM(136/345, 410/169, 535/321) = 2983160

LCM of 136/345, 410/169, 535/321

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 136/345,410/169,535/321

Given numbers are 136/345,410/169,535/321

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 136,410,535

Least Common Multiple of Numerators i.e. LCM of 136,410,535 is 2983160.

GCF of Denominators means GCF of 345,169,321 as per the given fractions.

GCF of 345,169,321 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 136,410,535

LCM of Fractions 136/345,410/169,535/321 is 2983160

2 136, 410, 535
5 68, 205, 535
68, 41, 107

∴ So the LCM of the given numbers is 2 x 5 x 68 x 41 x 107 = 2983160

Least Common Multiple of 136,410,535 with GCF Formula

Least Common Multiple of 136,410,535 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 136,410,535 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(136,410,535) = 1

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

GCF(136,410,535) x common factors =1 x 10 = 10

LCM(136,410,535) = ( 136 × 410 × 535 ) / 10

LCM(136,410,535) = 29831600 / 10

LCM(136,410,535) = 2983160


Lets's calculate GCF of 345,169,321

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2983160/1

Therefore the LCM of Fractions 136/345,410/169,535/321 is 2983160

Greatest Common Factor of 345,169,321 By Matching Biggest Common Factor Method

Greatest Common Factor of 345,169,321 By Matching Biggest Common Factor Method

Factors of 345

List of positive integer factors of 345 that divides 345 without a remainder.

1,3,5,15,23,69,115,345

Factors of 169

List of positive integer factors of 169 that divides 169 without a remainder.

1,13,169

Factors of 321

List of positive integer factors of 321 that divides 321 without a remainder.

1,3,107,321

Greatest Common Factor

We found the factors 345,169,321 . The biggest common factor number is the GCF number.
So the greatest common factor 345,169,321 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 136/345, 410/169, 535/321

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 136/345, 410/169, 535/321?

Answer: LCM of Numerators as per given numbers 136/345, 410/169, 535/321 is

LCM of Numerators i.e. for 136,410,535 is 2983160

GCF of denominators i.e. for 345,169,321 is 1.

Thus, LCM of Fractions is 2983160.Finally, LCM of Fractions for 136/345, 410/169, 535/321 is 2983160.