Least Common Multiple of 345/80, 357/39, 675/84

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 345/80, 357/39, 675/84 quickly i.e. 1847475 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 345/80, 357/39, 675/84 is 1847475.

LCM(345/80, 357/39, 675/84) = 1847475

LCM of 345/80, 357/39, 675/84

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 345/80,357/39,675/84

Given numbers are 345/80,357/39,675/84

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 345,357,675

Least Common Multiple of Numerators i.e. LCM of 345,357,675 is 1847475.

GCF of Denominators means GCF of 80,39,84 as per the given fractions.

GCF of 80,39,84 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 345,357,675

LCM of Fractions 345/80,357/39,675/84 is 1847475

3 345, 357, 675
5 115, 119, 225
23, 119, 45

∴ So the LCM of the given numbers is 3 x 5 x 23 x 119 x 45 = 1847475

Least Common Multiple of 345,357,675 with GCF Formula

Least Common Multiple of 345,357,675 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 345,357,675 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(345,357,675) = 3

common factors(in case of two or more numbers have common factors) = 15

GCF(345,357,675) x common factors =3 x 15 = 45

LCM(345,357,675) = ( 345 × 357 × 675 ) / 45

LCM(345,357,675) = 83136375 / 45

LCM(345,357,675) = 1847475


Lets's calculate GCF of 80,39,84

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1847475/1

Therefore the LCM of Fractions 345/80,357/39,675/84 is 1847475

Greatest Common Factor of 80,39,84 By Matching Biggest Common Factor Method

Greatest Common Factor of 80,39,84 By Matching Biggest Common Factor Method

Factors of 80

List of positive integer factors of 80 that divides 80 without a remainder.

1,2,4,5,8,10,16,20,40,80

Factors of 39

List of positive integer factors of 39 that divides 39 without a remainder.

1,3,13,39

Factors of 84

List of positive integer factors of 84 that divides 84 without a remainder.

1,2,3,4,6,7,12,14,21,28,42,84

Greatest Common Factor

We found the factors 80,39,84 . The biggest common factor number is the GCF number.
So the greatest common factor 80,39,84 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 345/80, 357/39, 675/84

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 345/80, 357/39, 675/84?

Answer: LCM of Numerators as per given numbers 345/80, 357/39, 675/84 is

LCM of Numerators i.e. for 345,357,675 is 1847475

GCF of denominators i.e. for 80,39,84 is 1.

Thus, LCM of Fractions is 1847475.Finally, LCM of Fractions for 345/80, 357/39, 675/84 is 1847475.