Least Common Multiple of 840/329, 1595/340

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 840/329, 1595/340 quickly i.e. 267960 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 840/329, 1595/340 is 267960.

LCM(840/329, 1595/340) = 267960

LCM of 840/329, 1595/340

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 840/329,1595/340

Given numbers are 840/329,1595/340

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 840,1595

Least Common Multiple of Numerators i.e. LCM of 840,1595 is 267960.

GCF of Denominators means GCF of 329,340 as per the given fractions.

GCF of 329,340 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 840,1595

LCM of Fractions 840/329,1595/340 is 267960

5 840, 1595
168, 319

∴ So the LCM of the given numbers is 5 x 168 x 319 = 267960

Least Common Multiple of 840,1595 with GCF Formula

Least Common Multiple of 840,1595 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 840,1595 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(840,1595) = 5

common factors(in case of two or more numbers have common factors) = 1

GCF(840,1595) x common factors =5 x 1 = 5

LCM(840,1595) = ( 840 × 1595 ) / 5

LCM(840,1595) = 1339800 / 5

LCM(840,1595) = 267960


Lets's calculate GCF of 329,340

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 267960/1

Therefore the LCM of Fractions 840/329,1595/340 is 267960

Greatest Common Factor of 329,340 By Matching Biggest Common Factor Method

Greatest Common Factor of 329,340 By Matching Biggest Common Factor Method

Factors of 329

List of positive integer factors of 329 that divides 329 without a remainder.

1,7,47,329

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

Greatest Common Factor

We found the factors 329,340 . The biggest common factor number is the GCF number.
So the greatest common factor 329,340 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 840/329, 1595/340

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 840/329, 1595/340?

Answer: LCM of Numerators as per given numbers 840/329, 1595/340 is

LCM of Numerators i.e. for 840,1595 is 267960

GCF of denominators i.e. for 329,340 is 1.

Thus, LCM of Fractions is 267960.Finally, LCM of Fractions for 840/329, 1595/340 is 267960.