Least Common Multiple of 31/430, 35/209, 856/200

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 31/430, 35/209, 856/200 quickly i.e. 928760 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 31/430, 35/209, 856/200 is 928760.

LCM(31/430, 35/209, 856/200) = 928760

LCM of 31/430, 35/209, 856/200

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 31/430,35/209,856/200

Given numbers are 31/430,35/209,856/200

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 31,35,856

Least Common Multiple of Numerators i.e. LCM of 31,35,856 is 928760.

GCF of Denominators means GCF of 430,209,200 as per the given fractions.

GCF of 430,209,200 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 31,35,856

LCM of Fractions 31/430,35/209,856/200 is 928760

Given numbers has no common factors except 1. So, there LCM is their product i.e 928760

Least Common Multiple of 31,35,856 with GCF Formula

Least Common Multiple of 31,35,856 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 31,35,856 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(31,35,856) = 1

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

GCF(31,35,856) x common factors =1 x 1 = 1

LCM(31,35,856) = ( 31 × 35 × 856 ) / 1

LCM(31,35,856) = 928760 / 1

LCM(31,35,856) = 928760


Lets's calculate GCF of 430,209,200

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 928760/1

Therefore the LCM of Fractions 31/430,35/209,856/200 is 928760

Greatest Common Factor of 430,209,200 By Matching Biggest Common Factor Method

Greatest Common Factor of 430,209,200 By Matching Biggest Common Factor Method

Factors of 430

List of positive integer factors of 430 that divides 430 without a remainder.

1,2,5,10,43,86,215,430

Factors of 209

List of positive integer factors of 209 that divides 209 without a remainder.

1,11,19,209

Factors of 200

List of positive integer factors of 200 that divides 200 without a remainder.

1,2,4,5,8,10,20,25,40,50,100,200

Greatest Common Factor

We found the factors 430,209,200 . The biggest common factor number is the GCF number.
So the greatest common factor 430,209,200 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 31/430, 35/209, 856/200

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 31/430, 35/209, 856/200?

Answer: LCM of Numerators as per given numbers 31/430, 35/209, 856/200 is

LCM of Numerators i.e. for 31,35,856 is 928760

GCF of denominators i.e. for 430,209,200 is 1.

Thus, LCM of Fractions is 928760.Finally, LCM of Fractions for 31/430, 35/209, 856/200 is 928760.