Least Common Multiple of 631/411, 594/851, 200/338

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 631/411, 594/851, 200/338 quickly i.e. 37481400 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 631/411, 594/851, 200/338 is 37481400.

LCM(631/411, 594/851, 200/338) = 37481400

LCM of 631/411, 594/851, 200/338

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 631/411,594/851,200/338

Given numbers are 631/411,594/851,200/338

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 631,594,200

Least Common Multiple of Numerators i.e. LCM of 631,594,200 is 37481400.

GCF of Denominators means GCF of 411,851,338 as per the given fractions.

GCF of 411,851,338 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 631,594,200

LCM of Fractions 631/411,594/851,200/338 is 37481400

2 631, 594, 200
631, 297, 100

∴ So the LCM of the given numbers is 2 x 631 x 297 x 100 = 37481400

Least Common Multiple of 631,594,200 with GCF Formula

Least Common Multiple of 631,594,200 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 631,594,200 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(631,594,200) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(631,594,200) x common factors =1 x 2 = 2

LCM(631,594,200) = ( 631 × 594 × 200 ) / 2

LCM(631,594,200) = 74962800 / 2

LCM(631,594,200) = 37481400


Lets's calculate GCF of 411,851,338

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 37481400/1

Therefore the LCM of Fractions 631/411,594/851,200/338 is 37481400

Greatest Common Factor of 411,851,338 By Matching Biggest Common Factor Method

Greatest Common Factor of 411,851,338 By Matching Biggest Common Factor Method

Factors of 411

List of positive integer factors of 411 that divides 411 without a remainder.

1,3,137,411

Factors of 851

List of positive integer factors of 851 that divides 851 without a remainder.

1,23,37,851

Factors of 338

List of positive integer factors of 338 that divides 338 without a remainder.

1,2,13,26,169,338

Greatest Common Factor

We found the factors 411,851,338 . The biggest common factor number is the GCF number.
So the greatest common factor 411,851,338 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 631/411, 594/851, 200/338

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 631/411, 594/851, 200/338?

Answer: LCM of Numerators as per given numbers 631/411, 594/851, 200/338 is

LCM of Numerators i.e. for 631,594,200 is 37481400

GCF of denominators i.e. for 411,851,338 is 1.

Thus, LCM of Fractions is 37481400.Finally, LCM of Fractions for 631/411, 594/851, 200/338 is 37481400.