Least Common Multiple of 10/826, 89/927, 349/393

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 10/826, 89/927, 349/393 quickly i.e. 310610 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 10/826, 89/927, 349/393 is 310610.

LCM(10/826, 89/927, 349/393) = 310610

LCM of 10/826, 89/927, 349/393

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 10/826,89/927,349/393

Given numbers are 10/826,89/927,349/393

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 10,89,349

Least Common Multiple of Numerators i.e. LCM of 10,89,349 is 310610.

GCF of Denominators means GCF of 826,927,393 as per the given fractions.

GCF of 826,927,393 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 10,89,349

LCM of Fractions 10/826,89/927,349/393 is 310610

Given numbers has no common factors except 1. So, there LCM is their product i.e 310610

Least Common Multiple of 10,89,349 with GCF Formula

Least Common Multiple of 10,89,349 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 10,89,349 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(10,89,349) = 1

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

GCF(10,89,349) x common factors =1 x 1 = 1

LCM(10,89,349) = ( 10 × 89 × 349 ) / 1

LCM(10,89,349) = 310610 / 1

LCM(10,89,349) = 310610


Lets's calculate GCF of 826,927,393

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 310610/1

Therefore the LCM of Fractions 10/826,89/927,349/393 is 310610

Greatest Common Factor of 826,927,393 By Matching Biggest Common Factor Method

Greatest Common Factor of 826,927,393 By Matching Biggest Common Factor Method

Factors of 826

List of positive integer factors of 826 that divides 826 without a remainder.

1,2,7,14,59,118,413,826

Factors of 927

List of positive integer factors of 927 that divides 927 without a remainder.

1,3,9,103,309,927

Factors of 393

List of positive integer factors of 393 that divides 393 without a remainder.

1,3,131,393

Greatest Common Factor

We found the factors 826,927,393 . The biggest common factor number is the GCF number.
So the greatest common factor 826,927,393 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 10/826, 89/927, 349/393

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 10/826, 89/927, 349/393?

Answer: LCM of Numerators as per given numbers 10/826, 89/927, 349/393 is

LCM of Numerators i.e. for 10,89,349 is 310610

GCF of denominators i.e. for 826,927,393 is 1.

Thus, LCM of Fractions is 310610.Finally, LCM of Fractions for 10/826, 89/927, 349/393 is 310610.