Least Common Multiple of 9284/38, 6982/870

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 9284/38, 6982/870 quickly i.e. 16205222 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 9284/38, 6982/870 is 16205222.

LCM(9284/38, 6982/870) = 16205222

LCM of 9284/38, 6982/870

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 9284/38,6982/870

Given numbers are 9284/38,6982/870

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 9284,6982

Least Common Multiple of Numerators i.e. LCM of 9284,6982 is 32410444.

GCF of Denominators means GCF of 38,870 as per the given fractions.

GCF of 38,870 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 9284,6982

LCM of Fractions 9284/38,6982/870 is 16205222

2 9284, 6982
4642, 3491

∴ So the LCM of the given numbers is 2 x 4642 x 3491 = 32410444

Least Common Multiple of 9284,6982 with GCF Formula

Least Common Multiple of 9284,6982 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 9284,6982 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9284,6982) = 2

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

GCF(9284,6982) x common factors =2 x 1 = 2

LCM(9284,6982) = ( 9284 × 6982 ) / 2

LCM(9284,6982) = 64820888 / 2

LCM(9284,6982) = 32410444


Lets's calculate GCF of 38,870

2 38, 870
19, 435

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 32410444/2

Therefore the LCM of Fractions 9284/38,6982/870 is 16205222

Greatest Common Factor of 38,870 By Matching Biggest Common Factor Method

Greatest Common Factor of 38,870 By Matching Biggest Common Factor Method

Factors of 38

List of positive integer factors of 38 that divides 38 without a remainder.

1,2,19,38

Factors of 870

List of positive integer factors of 870 that divides 870 without a remainder.

1,2,3,5,6,10,15,29,30,58,87,145,174,290,435,870

Greatest Common Factor

We found the factors 38,870 . The biggest common factor number is the GCF number.
So the greatest common factor 38,870 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 9284/38, 6982/870

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 9284/38, 6982/870?

Answer: LCM of Numerators as per given numbers 9284/38, 6982/870 is

LCM of Numerators i.e. for 9284,6982 is 32410444

GCF of denominators i.e. for 38,870 is 2.

Thus, LCM of Fractions is 16205222.Finally, LCM of Fractions for 9284/38, 6982/870 is 16205222.