Least Common Multiple of 825/31, 305/9943

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 825/31, 305/9943 quickly i.e. 50325 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 825/31, 305/9943 is 50325.

LCM(825/31, 305/9943) = 50325

LCM of 825/31, 305/9943

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 825/31,305/9943

Given numbers are 825/31,305/9943

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 825,305

Least Common Multiple of Numerators i.e. LCM of 825,305 is 50325.

GCF of Denominators means GCF of 31,9943 as per the given fractions.

GCF of 31,9943 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 825,305

LCM of Fractions 825/31,305/9943 is 50325

5 825, 305
165, 61

∴ So the LCM of the given numbers is 5 x 165 x 61 = 50325

Least Common Multiple of 825,305 with GCF Formula

Least Common Multiple of 825,305 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 825,305 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(825,305) = 5

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

GCF(825,305) x common factors =5 x 1 = 5

LCM(825,305) = ( 825 × 305 ) / 5

LCM(825,305) = 251625 / 5

LCM(825,305) = 50325


Lets's calculate GCF of 31,9943

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 50325/1

Therefore the LCM of Fractions 825/31,305/9943 is 50325

Greatest Common Factor of 31,9943 By Matching Biggest Common Factor Method

Greatest Common Factor of 31,9943 By Matching Biggest Common Factor Method

Factors of 31

List of positive integer factors of 31 that divides 31 without a remainder.

1,31

Factors of 9943

List of positive integer factors of 9943 that divides 9943 without a remainder.

1,61,163,9943

Greatest Common Factor

We found the factors 31,9943 . The biggest common factor number is the GCF number.
So the greatest common factor 31,9943 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 825/31, 305/9943

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 825/31, 305/9943?

Answer: LCM of Numerators as per given numbers 825/31, 305/9943 is

LCM of Numerators i.e. for 825,305 is 50325

GCF of denominators i.e. for 31,9943 is 1.

Thus, LCM of Fractions is 50325.Finally, LCM of Fractions for 825/31, 305/9943 is 50325.