Least Common Multiple of 185/15, 470/80, 632/472

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 185/15, 470/80, 632/472 quickly i.e. 5495240 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 185/15, 470/80, 632/472 is 5495240.

LCM(185/15, 470/80, 632/472) = 5495240

LCM of 185/15, 470/80, 632/472

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 185/15,470/80,632/472

Given numbers are 185/15,470/80,632/472

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 185,470,632

Least Common Multiple of Numerators i.e. LCM of 185,470,632 is 5495240.

GCF of Denominators means GCF of 15,80,472 as per the given fractions.

GCF of 15,80,472 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 185,470,632

LCM of Fractions 185/15,470/80,632/472 is 5495240

2 185, 470, 632
5 185, 235, 316
37, 47, 316

∴ So the LCM of the given numbers is 2 x 5 x 37 x 47 x 316 = 5495240

Least Common Multiple of 185,470,632 with GCF Formula

Least Common Multiple of 185,470,632 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 185,470,632 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(185,470,632) = 1

common factors(in case of two or more numbers have common factors) = 10

GCF(185,470,632) x common factors =1 x 10 = 10

LCM(185,470,632) = ( 185 × 470 × 632 ) / 10

LCM(185,470,632) = 54952400 / 10

LCM(185,470,632) = 5495240


Lets's calculate GCF of 15,80,472

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5495240/1

Therefore the LCM of Fractions 185/15,470/80,632/472 is 5495240

Greatest Common Factor of 15,80,472 By Matching Biggest Common Factor Method

Greatest Common Factor of 15,80,472 By Matching Biggest Common Factor Method

Factors of 15

List of positive integer factors of 15 that divides 15 without a remainder.

1,3,5,15

Factors of 80

List of positive integer factors of 80 that divides 80 without a remainder.

1,2,4,5,8,10,16,20,40,80

Factors of 472

List of positive integer factors of 472 that divides 472 without a remainder.

1,2,4,8,59,118,236,472

Greatest Common Factor

We found the factors 15,80,472 . The biggest common factor number is the GCF number.
So the greatest common factor 15,80,472 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 185/15, 470/80, 632/472

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 185/15, 470/80, 632/472?

Answer: LCM of Numerators as per given numbers 185/15, 470/80, 632/472 is

LCM of Numerators i.e. for 185,470,632 is 5495240

GCF of denominators i.e. for 15,80,472 is 1.

Thus, LCM of Fractions is 5495240.Finally, LCM of Fractions for 185/15, 470/80, 632/472 is 5495240.