Least Common Multiple of 70/815, 52/750, 399/345

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 70/815, 52/750, 399/345 quickly i.e. 20748 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 70/815, 52/750, 399/345 is 20748.

LCM(70/815, 52/750, 399/345) = 20748

LCM of 70/815, 52/750, 399/345

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 70/815,52/750,399/345

Given numbers are 70/815,52/750,399/345

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 70,52,399

Least Common Multiple of Numerators i.e. LCM of 70,52,399 is 103740.

GCF of Denominators means GCF of 815,750,345 as per the given fractions.

GCF of 815,750,345 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 70,52,399

LCM of Fractions 70/815,52/750,399/345 is 20748

2 70, 52, 399
7 35, 26, 399
5, 26, 57

∴ So the LCM of the given numbers is 2 x 7 x 5 x 26 x 57 = 103740

Least Common Multiple of 70,52,399 with GCF Formula

Least Common Multiple of 70,52,399 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 70,52,399 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(70,52,399) = 1

common factors(in case of two or more numbers have common factors) = 14

GCF(70,52,399) x common factors =1 x 14 = 14

LCM(70,52,399) = ( 70 × 52 × 399 ) / 14

LCM(70,52,399) = 1452360 / 14

LCM(70,52,399) = 103740


Lets's calculate GCF of 815,750,345

5 815, 750, 345
163, 150, 69

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 103740/5

Therefore the LCM of Fractions 70/815,52/750,399/345 is 20748

Greatest Common Factor of 815,750,345 By Matching Biggest Common Factor Method

Greatest Common Factor of 815,750,345 By Matching Biggest Common Factor Method

Factors of 815

List of positive integer factors of 815 that divides 815 without a remainder.

1,5,163,815

Factors of 750

List of positive integer factors of 750 that divides 750 without a remainder.

1,2,3,5,6,10,15,25,30,50,75,125,150,250,375,750

Factors of 345

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

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

Greatest Common Factor

We found the factors 815,750,345 . The biggest common factor number is the GCF number.
So the greatest common factor 815,750,345 is 5.


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 70/815, 52/750, 399/345

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 70/815, 52/750, 399/345?

Answer: LCM of Numerators as per given numbers 70/815, 52/750, 399/345 is

LCM of Numerators i.e. for 70,52,399 is 103740

GCF of denominators i.e. for 815,750,345 is 5.

Thus, LCM of Fractions is 20748.Finally, LCM of Fractions for 70/815, 52/750, 399/345 is 20748.