Least Common Multiple of 984/15, 730/6380

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 984/15, 730/6380 quickly i.e. 71832 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 984/15, 730/6380 is 71832.

LCM(984/15, 730/6380) = 71832

LCM of 984/15, 730/6380

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 984/15,730/6380

Given numbers are 984/15,730/6380

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 984,730

Least Common Multiple of Numerators i.e. LCM of 984,730 is 359160.

GCF of Denominators means GCF of 15,6380 as per the given fractions.

GCF of 15,6380 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 984,730

LCM of Fractions 984/15,730/6380 is 71832

2 984, 730
492, 365

∴ So the LCM of the given numbers is 2 x 492 x 365 = 359160

Least Common Multiple of 984,730 with GCF Formula

Least Common Multiple of 984,730 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 984,730 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(984,730) = 2

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

GCF(984,730) x common factors =2 x 1 = 2

LCM(984,730) = ( 984 × 730 ) / 2

LCM(984,730) = 718320 / 2

LCM(984,730) = 359160


Lets's calculate GCF of 15,6380

5 15, 6380
3, 1276

∴ So the GCF of the given numbers is 5 = 5

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 359160/5

Therefore the LCM of Fractions 984/15,730/6380 is 71832

Greatest Common Factor of 15,6380 By Matching Biggest Common Factor Method

Greatest Common Factor of 15,6380 By Matching Biggest Common Factor Method

Factors of 15

List of positive integer factors of 15 that divides 15 without a remainder.

1,3,5,15

Factors of 6380

List of positive integer factors of 6380 that divides 6380 without a remainder.

1,2,4,5,10,11,20,22,29,44,55,58,110,116,145,220,290,319,580,638,1276,1595,3190,6380

Greatest Common Factor

We found the factors 15,6380 . The biggest common factor number is the GCF number.
So the greatest common factor 15,6380 is 5.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 984/15, 730/6380

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 984/15, 730/6380?

Answer: LCM of Numerators as per given numbers 984/15, 730/6380 is

LCM of Numerators i.e. for 984,730 is 359160

GCF of denominators i.e. for 15,6380 is 5.

Thus, LCM of Fractions is 71832.Finally, LCM of Fractions for 984/15, 730/6380 is 71832.