Least Common Multiple of 10/193, 82/859, 116/752

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 10/193, 82/859, 116/752 quickly i.e. 23780 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 10/193, 82/859, 116/752 is 23780.

LCM(10/193, 82/859, 116/752) = 23780

LCM of 10/193, 82/859, 116/752

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 10/193,82/859,116/752

Given numbers are 10/193,82/859,116/752

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 10,82,116

Least Common Multiple of Numerators i.e. LCM of 10,82,116 is 23780.

GCF of Denominators means GCF of 193,859,752 as per the given fractions.

GCF of 193,859,752 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 10,82,116

LCM of Fractions 10/193,82/859,116/752 is 23780

2 10, 82, 116
5, 41, 58

∴ So the LCM of the given numbers is 2 x 5 x 41 x 58 = 23780

Least Common Multiple of 10,82,116 with GCF Formula

Least Common Multiple of 10,82,116 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 10,82,116 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(10,82,116) = 2

common factors(in case of two or more numbers have common factors) = 2

GCF(10,82,116) x common factors =2 x 2 = 4

LCM(10,82,116) = ( 10 × 82 × 116 ) / 4

LCM(10,82,116) = 95120 / 4

LCM(10,82,116) = 23780


Lets's calculate GCF of 193,859,752

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 23780/1

Therefore the LCM of Fractions 10/193,82/859,116/752 is 23780

Greatest Common Factor of 193,859,752 By Matching Biggest Common Factor Method

Greatest Common Factor of 193,859,752 By Matching Biggest Common Factor Method

Factors of 193

List of positive integer factors of 193 that divides 193 without a remainder.

1,193

Factors of 859

List of positive integer factors of 859 that divides 859 without a remainder.

1,859

Factors of 752

List of positive integer factors of 752 that divides 752 without a remainder.

1,2,4,8,16,47,94,188,376,752

Greatest Common Factor

We found the factors 193,859,752 . The biggest common factor number is the GCF number.
So the greatest common factor 193,859,752 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 10/193, 82/859, 116/752

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 10/193, 82/859, 116/752?

Answer: LCM of Numerators as per given numbers 10/193, 82/859, 116/752 is

LCM of Numerators i.e. for 10,82,116 is 23780

GCF of denominators i.e. for 193,859,752 is 1.

Thus, LCM of Fractions is 23780.Finally, LCM of Fractions for 10/193, 82/859, 116/752 is 23780.