Least Common Multiple of 306/72, 680/14, 390/454

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 306/72, 680/14, 390/454 quickly i.e. 39780 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 306/72, 680/14, 390/454 is 39780.

LCM(306/72, 680/14, 390/454) = 39780

LCM of 306/72, 680/14, 390/454

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 306/72,680/14,390/454

Given numbers are 306/72,680/14,390/454

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 306,680,390

Least Common Multiple of Numerators i.e. LCM of 306,680,390 is 79560.

GCF of Denominators means GCF of 72,14,454 as per the given fractions.

GCF of 72,14,454 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 306,680,390

LCM of Fractions 306/72,680/14,390/454 is 39780

2 306, 680, 390
3 153, 340, 195
5 51, 340, 65
17 51, 68, 13
3, 4, 13

∴ So the LCM of the given numbers is 2 x 3 x 5 x 17 x 3 x 4 x 13 = 79560

Least Common Multiple of 306,680,390 with GCF Formula

Least Common Multiple of 306,680,390 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 306,680,390 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(306,680,390) = 2

common factors(in case of two or more numbers have common factors) = 510

GCF(306,680,390) x common factors =2 x 510 = 1020

LCM(306,680,390) = ( 306 × 680 × 390 ) / 1020

LCM(306,680,390) = 81151200 / 1020

LCM(306,680,390) = 79560


Lets's calculate GCF of 72,14,454

2 72, 14, 454
36, 7, 227

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 79560/2

Therefore the LCM of Fractions 306/72,680/14,390/454 is 39780

Greatest Common Factor of 72,14,454 By Matching Biggest Common Factor Method

Greatest Common Factor of 72,14,454 By Matching Biggest Common Factor Method

Factors of 72

List of positive integer factors of 72 that divides 72 without a remainder.

1,2,3,4,6,8,9,12,18,24,36,72

Factors of 14

List of positive integer factors of 14 that divides 14 without a remainder.

1,2,7,14

Factors of 454

List of positive integer factors of 454 that divides 454 without a remainder.

1,2,227,454

Greatest Common Factor

We found the factors 72,14,454 . The biggest common factor number is the GCF number.
So the greatest common factor 72,14,454 is 2.


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 306/72, 680/14, 390/454

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 306/72, 680/14, 390/454?

Answer: LCM of Numerators as per given numbers 306/72, 680/14, 390/454 is

LCM of Numerators i.e. for 306,680,390 is 79560

GCF of denominators i.e. for 72,14,454 is 2.

Thus, LCM of Fractions is 39780.Finally, LCM of Fractions for 306/72, 680/14, 390/454 is 39780.