Least Common Multiple of 23/208, 74/113, 138/670

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 23/208, 74/113, 138/670 quickly i.e. 5106 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 23/208, 74/113, 138/670 is 5106.

LCM(23/208, 74/113, 138/670) = 5106

LCM of 23/208, 74/113, 138/670

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 23/208,74/113,138/670

Given numbers are 23/208,74/113,138/670

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 23,74,138

Least Common Multiple of Numerators i.e. LCM of 23,74,138 is 5106.

GCF of Denominators means GCF of 208,113,670 as per the given fractions.

GCF of 208,113,670 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 23,74,138

LCM of Fractions 23/208,74/113,138/670 is 5106

2 23, 74, 138
23 23, 37, 69
1, 37, 3

∴ So the LCM of the given numbers is 2 x 23 x 1 x 37 x 3 = 5106

Least Common Multiple of 23,74,138 with GCF Formula

Least Common Multiple of 23,74,138 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 23,74,138 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(23,74,138) = 1

common factors(in case of two or more numbers have common factors) = 46

GCF(23,74,138) x common factors =1 x 46 = 46

LCM(23,74,138) = ( 23 × 74 × 138 ) / 46

LCM(23,74,138) = 234876 / 46

LCM(23,74,138) = 5106


Lets's calculate GCF of 208,113,670

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5106/1

Therefore the LCM of Fractions 23/208,74/113,138/670 is 5106

Greatest Common Factor of 208,113,670 By Matching Biggest Common Factor Method

Greatest Common Factor of 208,113,670 By Matching Biggest Common Factor Method

Factors of 208

List of positive integer factors of 208 that divides 208 without a remainder.

1,2,4,8,13,16,26,52,104,208

Factors of 113

List of positive integer factors of 113 that divides 113 without a remainder.

1,113

Factors of 670

List of positive integer factors of 670 that divides 670 without a remainder.

1,2,5,10,67,134,335,670

Greatest Common Factor

We found the factors 208,113,670 . The biggest common factor number is the GCF number.
So the greatest common factor 208,113,670 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 23/208, 74/113, 138/670

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 23/208, 74/113, 138/670?

Answer: LCM of Numerators as per given numbers 23/208, 74/113, 138/670 is

LCM of Numerators i.e. for 23,74,138 is 5106

GCF of denominators i.e. for 208,113,670 is 1.

Thus, LCM of Fractions is 5106.Finally, LCM of Fractions for 23/208, 74/113, 138/670 is 5106.