Least Common Multiple of 352/789, 340/375

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 352/789, 340/375 quickly i.e. 29920/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 352/789, 340/375 is 29920/3.

LCM(352/789, 340/375) = 29920/3

LCM of 352/789, 340/375

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 352/789,340/375

Given numbers are 352/789,340/375

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 352,340

Least Common Multiple of Numerators i.e. LCM of 352,340 is 29920.

GCF of Denominators means GCF of 789,375 as per the given fractions.

GCF of 789,375 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 352,340

LCM of Fractions 352/789,340/375 is 29920/3

2 352, 340
2 176, 170
88, 85

∴ So the LCM of the given numbers is 2 x 2 x 88 x 85 = 29920

Least Common Multiple of 352,340 with GCF Formula

Least Common Multiple of 352,340 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 352,340 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(352,340) = 4

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

GCF(352,340) x common factors =4 x 1 = 4

LCM(352,340) = ( 352 × 340 ) / 4

LCM(352,340) = 119680 / 4

LCM(352,340) = 29920


Lets's calculate GCF of 789,375

3 789, 375
263, 125

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 29920/3

Therefore the LCM of Fractions 352/789,340/375 is 29920/3

Greatest Common Factor of 789,375 By Matching Biggest Common Factor Method

Greatest Common Factor of 789,375 By Matching Biggest Common Factor Method

Factors of 789

List of positive integer factors of 789 that divides 789 without a remainder.

1,3,263,789

Factors of 375

List of positive integer factors of 375 that divides 375 without a remainder.

1,3,5,15,25,75,125,375

Greatest Common Factor

We found the factors 789,375 . The biggest common factor number is the GCF number.
So the greatest common factor 789,375 is 3.


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 352/789, 340/375

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 352/789, 340/375?

Answer: LCM of Numerators as per given numbers 352/789, 340/375 is

LCM of Numerators i.e. for 352,340 is 29920

GCF of denominators i.e. for 789,375 is 3.

Thus, LCM of Fractions is 29920/3.Finally, LCM of Fractions for 352/789, 340/375 is 29920/3.