Least Common Multiple of 186/95, 164/40, 121/745

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 186/95, 164/40, 121/745 quickly i.e. 1845492/5 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 186/95, 164/40, 121/745 is 1845492/5.

LCM(186/95, 164/40, 121/745) = 1845492/5

LCM of 186/95, 164/40, 121/745

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 186/95,164/40,121/745

Given numbers are 186/95,164/40,121/745

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 186,164,121

Least Common Multiple of Numerators i.e. LCM of 186,164,121 is 1845492.

GCF of Denominators means GCF of 95,40,745 as per the given fractions.

GCF of 95,40,745 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 186,164,121

LCM of Fractions 186/95,164/40,121/745 is 1845492/5

2 186, 164, 121
93, 82, 121

∴ So the LCM of the given numbers is 2 x 93 x 82 x 121 = 1845492

Least Common Multiple of 186,164,121 with GCF Formula

Least Common Multiple of 186,164,121 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 186,164,121 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(186,164,121) = 1

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

GCF(186,164,121) x common factors =1 x 2 = 2

LCM(186,164,121) = ( 186 × 164 × 121 ) / 2

LCM(186,164,121) = 3690984 / 2

LCM(186,164,121) = 1845492


Lets's calculate GCF of 95,40,745

5 95, 40, 745
19, 8, 149

∴ So the GCF of the given numbers is 5 = 5

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1845492/5

Therefore the LCM of Fractions 186/95,164/40,121/745 is 1845492/5

Greatest Common Factor of 95,40,745 By Matching Biggest Common Factor Method

Greatest Common Factor of 95,40,745 By Matching Biggest Common Factor Method

Factors of 95

List of positive integer factors of 95 that divides 95 without a remainder.

1,5,19,95

Factors of 40

List of positive integer factors of 40 that divides 40 without a remainder.

1,2,4,5,8,10,20,40

Factors of 745

List of positive integer factors of 745 that divides 745 without a remainder.

1,5,149,745

Greatest Common Factor

We found the factors 95,40,745 . The biggest common factor number is the GCF number.
So the greatest common factor 95,40,745 is 5.


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 186/95, 164/40, 121/745

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 186/95, 164/40, 121/745?

Answer: LCM of Numerators as per given numbers 186/95, 164/40, 121/745 is

LCM of Numerators i.e. for 186,164,121 is 1845492

GCF of denominators i.e. for 95,40,745 is 5.

Thus, LCM of Fractions is 1845492/5.Finally, LCM of Fractions for 186/95, 164/40, 121/745 is 1845492/5.