Least Common Multiple of 755/30, 787/20, 340/13

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 755/30, 787/20, 340/13 quickly i.e. 40404580 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 755/30, 787/20, 340/13 is 40404580.

LCM(755/30, 787/20, 340/13) = 40404580

LCM of 755/30, 787/20, 340/13

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 755/30,787/20,340/13

Given numbers are 755/30,787/20,340/13

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 755,787,340

Least Common Multiple of Numerators i.e. LCM of 755,787,340 is 40404580.

GCF of Denominators means GCF of 30,20,13 as per the given fractions.

GCF of 30,20,13 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 755,787,340

LCM of Fractions 755/30,787/20,340/13 is 40404580

5 755, 787, 340
151, 787, 68

∴ So the LCM of the given numbers is 5 x 151 x 787 x 68 = 40404580

Least Common Multiple of 755,787,340 with GCF Formula

Least Common Multiple of 755,787,340 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 755,787,340 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(755,787,340) = 1

common factors(in case of two or more numbers have common factors) = 5

GCF(755,787,340) x common factors =1 x 5 = 5

LCM(755,787,340) = ( 755 × 787 × 340 ) / 5

LCM(755,787,340) = 202022900 / 5

LCM(755,787,340) = 40404580


Lets's calculate GCF of 30,20,13

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 40404580/1

Therefore the LCM of Fractions 755/30,787/20,340/13 is 40404580

Greatest Common Factor of 30,20,13 By Matching Biggest Common Factor Method

Greatest Common Factor of 30,20,13 By Matching Biggest Common Factor Method

Factors of 30

List of positive integer factors of 30 that divides 30 without a remainder.

1,2,3,5,6,10,15,30

Factors of 20

List of positive integer factors of 20 that divides 20 without a remainder.

1,2,4,5,10,20

Factors of 13

List of positive integer factors of 13 that divides 13 without a remainder.

1,13

Greatest Common Factor

We found the factors 30,20,13 . The biggest common factor number is the GCF number.
So the greatest common factor 30,20,13 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 755/30, 787/20, 340/13

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 755/30, 787/20, 340/13?

Answer: LCM of Numerators as per given numbers 755/30, 787/20, 340/13 is

LCM of Numerators i.e. for 755,787,340 is 40404580

GCF of denominators i.e. for 30,20,13 is 1.

Thus, LCM of Fractions is 40404580.Finally, LCM of Fractions for 755/30, 787/20, 340/13 is 40404580.