Least Common Multiple of 15/612, 9782/8380

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 15/612, 9782/8380 quickly i.e. 146730/4 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 15/612, 9782/8380 is 146730/4.

LCM(15/612, 9782/8380) = 146730/4

LCM of 15/612, 9782/8380

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 15/612,9782/8380

Given numbers are 15/612,9782/8380

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 15,9782

Least Common Multiple of Numerators i.e. LCM of 15,9782 is 146730.

GCF of Denominators means GCF of 612,8380 as per the given fractions.

GCF of 612,8380 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 15,9782

LCM of Fractions 15/612,9782/8380 is 146730/4

Given numbers has no common factors except 1. So, there LCM is their product i.e 146730

Least Common Multiple of 15,9782 with GCF Formula

Least Common Multiple of 15,9782 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 15,9782 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(15,9782) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(15,9782) x common factors =1 x 1 = 1

LCM(15,9782) = ( 15 × 9782 ) / 1

LCM(15,9782) = 146730 / 1

LCM(15,9782) = 146730


Lets's calculate GCF of 612,8380

2 612, 8380
2 306, 4190
153, 2095

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 146730/4

Therefore the LCM of Fractions 15/612,9782/8380 is 146730/4

Greatest Common Factor of 612,8380 By Matching Biggest Common Factor Method

Greatest Common Factor of 612,8380 By Matching Biggest Common Factor Method

Factors of 612

List of positive integer factors of 612 that divides 612 without a remainder.

1,2,3,4,6,9,12,17,18,34,36,51,68,102,153,204,306,612

Factors of 8380

List of positive integer factors of 8380 that divides 8380 without a remainder.

1,2,4,5,10,20,419,838,1676,2095,4190,8380

Greatest Common Factor

We found the factors 612,8380 . The biggest common factor number is the GCF number.
So the greatest common factor 612,8380 is 4.


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 15/612, 9782/8380

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 15/612, 9782/8380?

Answer: LCM of Numerators as per given numbers 15/612, 9782/8380 is

LCM of Numerators i.e. for 15,9782 is 146730

GCF of denominators i.e. for 612,8380 is 4.

Thus, LCM of Fractions is 146730/4.Finally, LCM of Fractions for 15/612, 9782/8380 is 146730/4.