Least Common Multiple of 1000/469, 5862/204

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 1000/469, 5862/204 quickly i.e. 2931000 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1000/469, 5862/204 is 2931000.

LCM(1000/469, 5862/204) = 2931000

LCM of 1000/469, 5862/204

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 1000/469,5862/204

Given numbers are 1000/469,5862/204

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 1000,5862

Least Common Multiple of Numerators i.e. LCM of 1000,5862 is 2931000.

GCF of Denominators means GCF of 469,204 as per the given fractions.

GCF of 469,204 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1000,5862

LCM of Fractions 1000/469,5862/204 is 2931000

2 1000, 5862
500, 2931

∴ So the LCM of the given numbers is 2 x 500 x 2931 = 2931000

Least Common Multiple of 1000,5862 with GCF Formula

Least Common Multiple of 1000,5862 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 1000,5862 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1000,5862) = 2

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

GCF(1000,5862) x common factors =2 x 1 = 2

LCM(1000,5862) = ( 1000 × 5862 ) / 2

LCM(1000,5862) = 5862000 / 2

LCM(1000,5862) = 2931000


Lets's calculate GCF of 469,204

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2931000/1

Therefore the LCM of Fractions 1000/469,5862/204 is 2931000

Greatest Common Factor of 469,204 By Matching Biggest Common Factor Method

Greatest Common Factor of 469,204 By Matching Biggest Common Factor Method

Factors of 469

List of positive integer factors of 469 that divides 469 without a remainder.

1,7,67,469

Factors of 204

List of positive integer factors of 204 that divides 204 without a remainder.

1,2,3,4,6,12,17,34,51,68,102,204

Greatest Common Factor

We found the factors 469,204 . The biggest common factor number is the GCF number.
So the greatest common factor 469,204 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 1000/469, 5862/204

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 1000/469, 5862/204?

Answer: LCM of Numerators as per given numbers 1000/469, 5862/204 is

LCM of Numerators i.e. for 1000,5862 is 2931000

GCF of denominators i.e. for 469,204 is 1.

Thus, LCM of Fractions is 2931000.Finally, LCM of Fractions for 1000/469, 5862/204 is 2931000.