Least Common Multiple of 160/26, 461/12, 521/186

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 160/26, 461/12, 521/186 quickly i.e. 19214480 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 160/26, 461/12, 521/186 is 19214480.

LCM(160/26, 461/12, 521/186) = 19214480

LCM of 160/26, 461/12, 521/186

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 160/26,461/12,521/186

Given numbers are 160/26,461/12,521/186

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 160,461,521

Least Common Multiple of Numerators i.e. LCM of 160,461,521 is 38428960.

GCF of Denominators means GCF of 26,12,186 as per the given fractions.

GCF of 26,12,186 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 160,461,521

LCM of Fractions 160/26,461/12,521/186 is 19214480

Given numbers has no common factors except 1. So, there LCM is their product i.e 38428960

Least Common Multiple of 160,461,521 with GCF Formula

Least Common Multiple of 160,461,521 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 160,461,521 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(160,461,521) = 1

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

GCF(160,461,521) x common factors =1 x 1 = 1

LCM(160,461,521) = ( 160 × 461 × 521 ) / 1

LCM(160,461,521) = 38428960 / 1

LCM(160,461,521) = 38428960


Lets's calculate GCF of 26,12,186

2 26, 12, 186
13, 6, 93

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 38428960/2

Therefore the LCM of Fractions 160/26,461/12,521/186 is 19214480

Greatest Common Factor of 26,12,186 By Matching Biggest Common Factor Method

Greatest Common Factor of 26,12,186 By Matching Biggest Common Factor Method

Factors of 26

List of positive integer factors of 26 that divides 26 without a remainder.

1,2,13,26

Factors of 12

List of positive integer factors of 12 that divides 12 without a remainder.

1,2,3,4,6,12

Factors of 186

List of positive integer factors of 186 that divides 186 without a remainder.

1,2,3,6,31,62,93,186

Greatest Common Factor

We found the factors 26,12,186 . The biggest common factor number is the GCF number.
So the greatest common factor 26,12,186 is 2.


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 160/26, 461/12, 521/186

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 160/26, 461/12, 521/186?

Answer: LCM of Numerators as per given numbers 160/26, 461/12, 521/186 is

LCM of Numerators i.e. for 160,461,521 is 38428960

GCF of denominators i.e. for 26,12,186 is 2.

Thus, LCM of Fractions is 19214480.Finally, LCM of Fractions for 160/26, 461/12, 521/186 is 19214480.