Least Common Multiple of 23/70, 86/25, 67/184

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 23/70, 86/25, 67/184 quickly i.e. 132526 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 23/70, 86/25, 67/184 is 132526.

LCM(23/70, 86/25, 67/184) = 132526

LCM of 23/70, 86/25, 67/184

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 23/70,86/25,67/184

Given numbers are 23/70,86/25,67/184

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 23,86,67

Least Common Multiple of Numerators i.e. LCM of 23,86,67 is 132526.

GCF of Denominators means GCF of 70,25,184 as per the given fractions.

GCF of 70,25,184 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 23,86,67

LCM of Fractions 23/70,86/25,67/184 is 132526

Given numbers has no common factors except 1. So, there LCM is their product i.e 132526

Least Common Multiple of 23,86,67 with GCF Formula

Least Common Multiple of 23,86,67 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 23,86,67 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(23,86,67) = 1

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

GCF(23,86,67) x common factors =1 x 1 = 1

LCM(23,86,67) = ( 23 × 86 × 67 ) / 1

LCM(23,86,67) = 132526 / 1

LCM(23,86,67) = 132526


Lets's calculate GCF of 70,25,184

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 132526/1

Therefore the LCM of Fractions 23/70,86/25,67/184 is 132526

Greatest Common Factor of 70,25,184 By Matching Biggest Common Factor Method

Greatest Common Factor of 70,25,184 By Matching Biggest Common Factor Method

Factors of 70

List of positive integer factors of 70 that divides 70 without a remainder.

1,2,5,7,10,14,35,70

Factors of 25

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

1,5,25

Factors of 184

List of positive integer factors of 184 that divides 184 without a remainder.

1,2,4,8,23,46,92,184

Greatest Common Factor

We found the factors 70,25,184 . The biggest common factor number is the GCF number.
So the greatest common factor 70,25,184 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 23/70, 86/25, 67/184

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 23/70, 86/25, 67/184?

Answer: LCM of Numerators as per given numbers 23/70, 86/25, 67/184 is

LCM of Numerators i.e. for 23,86,67 is 132526

GCF of denominators i.e. for 70,25,184 is 1.

Thus, LCM of Fractions is 132526.Finally, LCM of Fractions for 23/70, 86/25, 67/184 is 132526.