Least Common Multiple of 216/35, 505/33, 840/181

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 216/35, 505/33, 840/181 quickly i.e. 763560 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 216/35, 505/33, 840/181 is 763560.

LCM(216/35, 505/33, 840/181) = 763560

LCM of 216/35, 505/33, 840/181

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 216/35,505/33,840/181

Given numbers are 216/35,505/33,840/181

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 216,505,840

Least Common Multiple of Numerators i.e. LCM of 216,505,840 is 763560.

GCF of Denominators means GCF of 35,33,181 as per the given fractions.

GCF of 35,33,181 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 216,505,840

LCM of Fractions 216/35,505/33,840/181 is 763560

2 216, 505, 840
2 108, 505, 420
2 54, 505, 210
3 27, 505, 105
5 9, 505, 35
9, 101, 7

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 5 x 9 x 101 x 7 = 763560

Least Common Multiple of 216,505,840 with GCF Formula

Least Common Multiple of 216,505,840 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 216,505,840 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(216,505,840) = 1

common factors(in case of two or more numbers have common factors) = 120

GCF(216,505,840) x common factors =1 x 120 = 120

LCM(216,505,840) = ( 216 × 505 × 840 ) / 120

LCM(216,505,840) = 91627200 / 120

LCM(216,505,840) = 763560


Lets's calculate GCF of 35,33,181

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 763560/1

Therefore the LCM of Fractions 216/35,505/33,840/181 is 763560

Greatest Common Factor of 35,33,181 By Matching Biggest Common Factor Method

Greatest Common Factor of 35,33,181 By Matching Biggest Common Factor Method

Factors of 35

List of positive integer factors of 35 that divides 35 without a remainder.

1,5,7,35

Factors of 33

List of positive integer factors of 33 that divides 33 without a remainder.

1,3,11,33

Factors of 181

List of positive integer factors of 181 that divides 181 without a remainder.

1,181

Greatest Common Factor

We found the factors 35,33,181 . The biggest common factor number is the GCF number.
So the greatest common factor 35,33,181 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 216/35, 505/33, 840/181

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 216/35, 505/33, 840/181?

Answer: LCM of Numerators as per given numbers 216/35, 505/33, 840/181 is

LCM of Numerators i.e. for 216,505,840 is 763560

GCF of denominators i.e. for 35,33,181 is 1.

Thus, LCM of Fractions is 763560.Finally, LCM of Fractions for 216/35, 505/33, 840/181 is 763560.