Least Common Multiple of 10/829, 93/785, 246/824

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 10/829, 93/785, 246/824 quickly i.e. 38130 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 10/829, 93/785, 246/824 is 38130.

LCM(10/829, 93/785, 246/824) = 38130

LCM of 10/829, 93/785, 246/824

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 10/829,93/785,246/824

Given numbers are 10/829,93/785,246/824

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 10,93,246

Least Common Multiple of Numerators i.e. LCM of 10,93,246 is 38130.

GCF of Denominators means GCF of 829,785,824 as per the given fractions.

GCF of 829,785,824 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 10,93,246

LCM of Fractions 10/829,93/785,246/824 is 38130

2 10, 93, 246
3 5, 93, 123
5, 31, 41

∴ So the LCM of the given numbers is 2 x 3 x 5 x 31 x 41 = 38130

Least Common Multiple of 10,93,246 with GCF Formula

Least Common Multiple of 10,93,246 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 10,93,246 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(10,93,246) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(10,93,246) x common factors =1 x 6 = 6

LCM(10,93,246) = ( 10 × 93 × 246 ) / 6

LCM(10,93,246) = 228780 / 6

LCM(10,93,246) = 38130


Lets's calculate GCF of 829,785,824

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 38130/1

Therefore the LCM of Fractions 10/829,93/785,246/824 is 38130

Greatest Common Factor of 829,785,824 By Matching Biggest Common Factor Method

Greatest Common Factor of 829,785,824 By Matching Biggest Common Factor Method

Factors of 829

List of positive integer factors of 829 that divides 829 without a remainder.

1,829

Factors of 785

List of positive integer factors of 785 that divides 785 without a remainder.

1,5,157,785

Factors of 824

List of positive integer factors of 824 that divides 824 without a remainder.

1,2,4,8,103,206,412,824

Greatest Common Factor

We found the factors 829,785,824 . The biggest common factor number is the GCF number.
So the greatest common factor 829,785,824 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 10/829, 93/785, 246/824

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 10/829, 93/785, 246/824?

Answer: LCM of Numerators as per given numbers 10/829, 93/785, 246/824 is

LCM of Numerators i.e. for 10,93,246 is 38130

GCF of denominators i.e. for 829,785,824 is 1.

Thus, LCM of Fractions is 38130.Finally, LCM of Fractions for 10/829, 93/785, 246/824 is 38130.