Least Common Multiple of 31/210, 8783/5350

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 31/210, 8783/5350 quickly i.e. 272273/10 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 31/210, 8783/5350 is 272273/10.

LCM(31/210, 8783/5350) = 272273/10

LCM of 31/210, 8783/5350

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 31/210,8783/5350

Given numbers are 31/210,8783/5350

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 31,8783

Least Common Multiple of Numerators i.e. LCM of 31,8783 is 272273.

GCF of Denominators means GCF of 210,5350 as per the given fractions.

GCF of 210,5350 is 10 as it is the largest common factor for these numbers.

Lets's calculate LCM of 31,8783

LCM of Fractions 31/210,8783/5350 is 272273/10

Given numbers has no common factors except 1. So, there LCM is their product i.e 272273

Least Common Multiple of 31,8783 with GCF Formula

Least Common Multiple of 31,8783 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 31,8783 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(31,8783) = 1

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

GCF(31,8783) x common factors =1 x 1 = 1

LCM(31,8783) = ( 31 × 8783 ) / 1

LCM(31,8783) = 272273 / 1

LCM(31,8783) = 272273


Lets's calculate GCF of 210,5350

2 210, 5350
5 105, 2675
21, 535

∴ So the GCF of the given numbers is 2 x 5 = 10

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 272273/10

Therefore the LCM of Fractions 31/210,8783/5350 is 272273/10

Greatest Common Factor of 210,5350 By Matching Biggest Common Factor Method

Greatest Common Factor of 210,5350 By Matching Biggest Common Factor Method

Factors of 210

List of positive integer factors of 210 that divides 210 without a remainder.

1,2,3,5,6,7,10,14,15,21,30,35,42,70,105,210

Factors of 5350

List of positive integer factors of 5350 that divides 5350 without a remainder.

1,2,5,10,25,50,107,214,535,1070,2675,5350

Greatest Common Factor

We found the factors 210,5350 . The biggest common factor number is the GCF number.
So the greatest common factor 210,5350 is 10.


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 31/210, 8783/5350

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 31/210, 8783/5350?

Answer: LCM of Numerators as per given numbers 31/210, 8783/5350 is

LCM of Numerators i.e. for 31,8783 is 272273

GCF of denominators i.e. for 210,5350 is 10.

Thus, LCM of Fractions is 272273/10.Finally, LCM of Fractions for 31/210, 8783/5350 is 272273/10.