Least Common Multiple of 300/917, 3382/8420

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 300/917, 3382/8420 quickly i.e. 507300 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 300/917, 3382/8420 is 507300.

LCM(300/917, 3382/8420) = 507300

LCM of 300/917, 3382/8420

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 300/917,3382/8420

Given numbers are 300/917,3382/8420

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 300,3382

Least Common Multiple of Numerators i.e. LCM of 300,3382 is 507300.

GCF of Denominators means GCF of 917,8420 as per the given fractions.

GCF of 917,8420 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 300,3382

LCM of Fractions 300/917,3382/8420 is 507300

2 300, 3382
150, 1691

∴ So the LCM of the given numbers is 2 x 150 x 1691 = 507300

Least Common Multiple of 300,3382 with GCF Formula

Least Common Multiple of 300,3382 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 300,3382 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(300,3382) = 2

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

GCF(300,3382) x common factors =2 x 1 = 2

LCM(300,3382) = ( 300 × 3382 ) / 2

LCM(300,3382) = 1014600 / 2

LCM(300,3382) = 507300


Lets's calculate GCF of 917,8420

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 507300/1

Therefore the LCM of Fractions 300/917,3382/8420 is 507300

Greatest Common Factor of 917,8420 By Matching Biggest Common Factor Method

Greatest Common Factor of 917,8420 By Matching Biggest Common Factor Method

Factors of 917

List of positive integer factors of 917 that divides 917 without a remainder.

1,7,131,917

Factors of 8420

List of positive integer factors of 8420 that divides 8420 without a remainder.

1,2,4,5,10,20,421,842,1684,2105,4210,8420

Greatest Common Factor

We found the factors 917,8420 . The biggest common factor number is the GCF number.
So the greatest common factor 917,8420 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 300/917, 3382/8420

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 300/917, 3382/8420?

Answer: LCM of Numerators as per given numbers 300/917, 3382/8420 is

LCM of Numerators i.e. for 300,3382 is 507300

GCF of denominators i.e. for 917,8420 is 1.

Thus, LCM of Fractions is 507300.Finally, LCM of Fractions for 300/917, 3382/8420 is 507300.