Least Common Multiple of 180/37, 814/41, 808/633

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 180/37, 814/41, 808/633 quickly i.e. 14798520 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 180/37, 814/41, 808/633 is 14798520.

LCM(180/37, 814/41, 808/633) = 14798520

LCM of 180/37, 814/41, 808/633

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 180/37,814/41,808/633

Given numbers are 180/37,814/41,808/633

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 180,814,808

Least Common Multiple of Numerators i.e. LCM of 180,814,808 is 14798520.

GCF of Denominators means GCF of 37,41,633 as per the given fractions.

GCF of 37,41,633 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 180,814,808

LCM of Fractions 180/37,814/41,808/633 is 14798520

2 180, 814, 808
2 90, 407, 404
45, 407, 202

∴ So the LCM of the given numbers is 2 x 2 x 45 x 407 x 202 = 14798520

Least Common Multiple of 180,814,808 with GCF Formula

Least Common Multiple of 180,814,808 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 180,814,808 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(180,814,808) = 2

common factors(in case of two or more numbers have common factors) = 4

GCF(180,814,808) x common factors =2 x 4 = 8

LCM(180,814,808) = ( 180 × 814 × 808 ) / 8

LCM(180,814,808) = 118388160 / 8

LCM(180,814,808) = 14798520


Lets's calculate GCF of 37,41,633

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 14798520/1

Therefore the LCM of Fractions 180/37,814/41,808/633 is 14798520

Greatest Common Factor of 37,41,633 By Matching Biggest Common Factor Method

Greatest Common Factor of 37,41,633 By Matching Biggest Common Factor Method

Factors of 37

List of positive integer factors of 37 that divides 37 without a remainder.

1,37

Factors of 41

List of positive integer factors of 41 that divides 41 without a remainder.

1,41

Factors of 633

List of positive integer factors of 633 that divides 633 without a remainder.

1,3,211,633

Greatest Common Factor

We found the factors 37,41,633 . The biggest common factor number is the GCF number.
So the greatest common factor 37,41,633 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 180/37, 814/41, 808/633

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 180/37, 814/41, 808/633?

Answer: LCM of Numerators as per given numbers 180/37, 814/41, 808/633 is

LCM of Numerators i.e. for 180,814,808 is 14798520

GCF of denominators i.e. for 37,41,633 is 1.

Thus, LCM of Fractions is 14798520.Finally, LCM of Fractions for 180/37, 814/41, 808/633 is 14798520.