Least Common Multiple of 30/78, 12/85, 820/46

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 30/78, 12/85, 820/46 quickly i.e. 2460 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 30/78, 12/85, 820/46 is 2460.

LCM(30/78, 12/85, 820/46) = 2460

LCM of 30/78, 12/85, 820/46

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 30/78,12/85,820/46

Given numbers are 30/78,12/85,820/46

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 30,12,820

Least Common Multiple of Numerators i.e. LCM of 30,12,820 is 2460.

GCF of Denominators means GCF of 78,85,46 as per the given fractions.

GCF of 78,85,46 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 30,12,820

LCM of Fractions 30/78,12/85,820/46 is 2460

2 30, 12, 820
2 15, 6, 410
3 15, 3, 205
5 5, 1, 205
1, 1, 41

∴ So the LCM of the given numbers is 2 x 2 x 3 x 5 x 1 x 1 x 41 = 2460

Least Common Multiple of 30,12,820 with GCF Formula

Least Common Multiple of 30,12,820 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 30,12,820 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(30,12,820) = 2

common factors(in case of two or more numbers have common factors) = 60

GCF(30,12,820) x common factors =2 x 60 = 120

LCM(30,12,820) = ( 30 × 12 × 820 ) / 120

LCM(30,12,820) = 295200 / 120

LCM(30,12,820) = 2460


Lets's calculate GCF of 78,85,46

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2460/1

Therefore the LCM of Fractions 30/78,12/85,820/46 is 2460

Greatest Common Factor of 78,85,46 By Matching Biggest Common Factor Method

Greatest Common Factor of 78,85,46 By Matching Biggest Common Factor Method

Factors of 78

List of positive integer factors of 78 that divides 78 without a remainder.

1,2,3,6,13,26,39,78

Factors of 85

List of positive integer factors of 85 that divides 85 without a remainder.

1,5,17,85

Factors of 46

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

1,2,23,46

Greatest Common Factor

We found the factors 78,85,46 . The biggest common factor number is the GCF number.
So the greatest common factor 78,85,46 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 30/78, 12/85, 820/46

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 30/78, 12/85, 820/46?

Answer: LCM of Numerators as per given numbers 30/78, 12/85, 820/46 is

LCM of Numerators i.e. for 30,12,820 is 2460

GCF of denominators i.e. for 78,85,46 is 1.

Thus, LCM of Fractions is 2460.Finally, LCM of Fractions for 30/78, 12/85, 820/46 is 2460.