Least Common Multiple of 78/46, 58/19, 15/48, 67/720

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 78/46, 58/19, 15/48, 67/720 quickly i.e. 757770 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 78/46, 58/19, 15/48, 67/720 is 757770.

LCM(78/46, 58/19, 15/48, 67/720) = 757770

LCM of 78/46, 58/19, 15/48, 67/720

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 78/46,58/19,15/48,67/720

Given numbers are 78/46,58/19,15/48,67/720

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 78,58,15,67

Least Common Multiple of Numerators i.e. LCM of 78,58,15,67 is 757770.

GCF of Denominators means GCF of 46,19,48,720 as per the given fractions.

GCF of 46,19,48,720 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 78,58,15,67

LCM of Fractions 78/46,58/19,15/48,67/720 is 757770

2 78, 58, 15, 67
3 39, 29, 15, 67
13, 29, 5, 67

∴ So the LCM of the given numbers is 2 x 3 x 13 x 29 x 5 x 67 = 757770

Least Common Multiple of 78,58,15,67 with GCF Formula

Least Common Multiple of 78,58,15,67 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 78,58,15,67 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(78,58,15,67) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(78,58,15,67) x common factors =1 x 6 = 6

LCM(78,58,15,67) = ( 78 × 58 × 15 × 67 ) / 6

LCM(78,58,15,67) = 4546620 / 6

LCM(78,58,15,67) = 757770


Lets's calculate GCF of 46,19,48,720

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 757770/1

Therefore the LCM of Fractions 78/46,58/19,15/48,67/720 is 757770

Greatest Common Factor of 46,19,48,720 By Matching Biggest Common Factor Method

Greatest Common Factor of 46,19,48,720 By Matching Biggest Common Factor Method

Factors of 46

List of positive integer factors of 46 that divides 46 without a remainder.

1,2,23,46

Factors of 19

List of positive integer factors of 19 that divides 19 without a remainder.

1,19

Factors of 48

List of positive integer factors of 48 that divides 48 without a remainder.

1,2,3,4,6,8,12,16,24,48

Factors of 720

List of positive integer factors of 720 that divides 720 without a remainder.

1,2,3,4,5,6,8,9,10,12,15,16,18,20,24,30,36,40,45,48,60,72,80,90,120,144,180,240,360,720

Greatest Common Factor

We found the factors 46,19,48,720 . The biggest common factor number is the GCF number.
So the greatest common factor 46,19,48,720 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 78/46, 58/19, 15/48, 67/720

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 78/46, 58/19, 15/48, 67/720?

Answer: LCM of Numerators as per given numbers 78/46, 58/19, 15/48, 67/720 is

LCM of Numerators i.e. for 78,58,15,67 is 757770

GCF of denominators i.e. for 46,19,48,720 is 1.

Thus, LCM of Fractions is 757770.Finally, LCM of Fractions for 78/46, 58/19, 15/48, 67/720 is 757770.