Least Common Multiple of 83/42, 55/25, 10/713

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 83/42, 55/25, 10/713 quickly i.e. 9130 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 83/42, 55/25, 10/713 is 9130.

LCM(83/42, 55/25, 10/713) = 9130

LCM of 83/42, 55/25, 10/713

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 83/42,55/25,10/713

Given numbers are 83/42,55/25,10/713

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 83,55,10

Least Common Multiple of Numerators i.e. LCM of 83,55,10 is 9130.

GCF of Denominators means GCF of 42,25,713 as per the given fractions.

GCF of 42,25,713 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 83,55,10

LCM of Fractions 83/42,55/25,10/713 is 9130

5 83, 55, 10
83, 11, 2

∴ So the LCM of the given numbers is 5 x 83 x 11 x 2 = 9130

Least Common Multiple of 83,55,10 with GCF Formula

Least Common Multiple of 83,55,10 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 83,55,10 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(83,55,10) = 1

common factors(in case of two or more numbers have common factors) = 5

GCF(83,55,10) x common factors =1 x 5 = 5

LCM(83,55,10) = ( 83 × 55 × 10 ) / 5

LCM(83,55,10) = 45650 / 5

LCM(83,55,10) = 9130


Lets's calculate GCF of 42,25,713

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9130/1

Therefore the LCM of Fractions 83/42,55/25,10/713 is 9130

Greatest Common Factor of 42,25,713 By Matching Biggest Common Factor Method

Greatest Common Factor of 42,25,713 By Matching Biggest Common Factor Method

Factors of 42

List of positive integer factors of 42 that divides 42 without a remainder.

1,2,3,6,7,14,21,42

Factors of 25

List of positive integer factors of 25 that divides 25 without a remainder.

1,5,25

Factors of 713

List of positive integer factors of 713 that divides 713 without a remainder.

1,23,31,713

Greatest Common Factor

We found the factors 42,25,713 . The biggest common factor number is the GCF number.
So the greatest common factor 42,25,713 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 83/42, 55/25, 10/713

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 83/42, 55/25, 10/713?

Answer: LCM of Numerators as per given numbers 83/42, 55/25, 10/713 is

LCM of Numerators i.e. for 83,55,10 is 9130

GCF of denominators i.e. for 42,25,713 is 1.

Thus, LCM of Fractions is 9130.Finally, LCM of Fractions for 83/42, 55/25, 10/713 is 9130.