Least Common Multiple of 31/882, 7026/7195

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 31/882, 7026/7195 quickly i.e. 217806 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 31/882, 7026/7195 is 217806.

LCM(31/882, 7026/7195) = 217806

LCM of 31/882, 7026/7195

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 31/882,7026/7195

Given numbers are 31/882,7026/7195

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 31,7026

Least Common Multiple of Numerators i.e. LCM of 31,7026 is 217806.

GCF of Denominators means GCF of 882,7195 as per the given fractions.

GCF of 882,7195 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 31,7026

LCM of Fractions 31/882,7026/7195 is 217806

Given numbers has no common factors except 1. So, there LCM is their product i.e 217806

Least Common Multiple of 31,7026 with GCF Formula

Least Common Multiple of 31,7026 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 31,7026 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(31,7026) = 1

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

GCF(31,7026) x common factors =1 x 1 = 1

LCM(31,7026) = ( 31 × 7026 ) / 1

LCM(31,7026) = 217806 / 1

LCM(31,7026) = 217806


Lets's calculate GCF of 882,7195

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 217806/1

Therefore the LCM of Fractions 31/882,7026/7195 is 217806

Greatest Common Factor of 882,7195 By Matching Biggest Common Factor Method

Greatest Common Factor of 882,7195 By Matching Biggest Common Factor Method

Factors of 882

List of positive integer factors of 882 that divides 882 without a remainder.

1,2,3,6,7,9,14,18,21,42,49,63,98,126,147,294,441,882

Factors of 7195

List of positive integer factors of 7195 that divides 7195 without a remainder.

1,5,1439,7195

Greatest Common Factor

We found the factors 882,7195 . The biggest common factor number is the GCF number.
So the greatest common factor 882,7195 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 31/882, 7026/7195

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 31/882, 7026/7195?

Answer: LCM of Numerators as per given numbers 31/882, 7026/7195 is

LCM of Numerators i.e. for 31,7026 is 217806

GCF of denominators i.e. for 882,7195 is 1.

Thus, LCM of Fractions is 217806.Finally, LCM of Fractions for 31/882, 7026/7195 is 217806.