Least Common Multiple of 216/350, 760/667, 588/755

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 216/350, 760/667, 588/755 quickly i.e. 1005480 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 216/350, 760/667, 588/755 is 1005480.

LCM(216/350, 760/667, 588/755) = 1005480

LCM of 216/350, 760/667, 588/755

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 216/350,760/667,588/755

Given numbers are 216/350,760/667,588/755

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 216,760,588

Least Common Multiple of Numerators i.e. LCM of 216,760,588 is 1005480.

GCF of Denominators means GCF of 350,667,755 as per the given fractions.

GCF of 350,667,755 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 216,760,588

LCM of Fractions 216/350,760/667,588/755 is 1005480

2 216, 760, 588
2 108, 380, 294
2 54, 190, 147
3 27, 95, 147
9, 95, 49

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 9 x 95 x 49 = 1005480

Least Common Multiple of 216,760,588 with GCF Formula

Least Common Multiple of 216,760,588 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 216,760,588 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(216,760,588) = 4

common factors(in case of two or more numbers have common factors) = 24

GCF(216,760,588) x common factors =4 x 24 = 96

LCM(216,760,588) = ( 216 × 760 × 588 ) / 96

LCM(216,760,588) = 96526080 / 96

LCM(216,760,588) = 1005480


Lets's calculate GCF of 350,667,755

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1005480/1

Therefore the LCM of Fractions 216/350,760/667,588/755 is 1005480

Greatest Common Factor of 350,667,755 By Matching Biggest Common Factor Method

Greatest Common Factor of 350,667,755 By Matching Biggest Common Factor Method

Factors of 350

List of positive integer factors of 350 that divides 350 without a remainder.

1,2,5,7,10,14,25,35,50,70,175,350

Factors of 667

List of positive integer factors of 667 that divides 667 without a remainder.

1,23,29,667

Factors of 755

List of positive integer factors of 755 that divides 755 without a remainder.

1,5,151,755

Greatest Common Factor

We found the factors 350,667,755 . The biggest common factor number is the GCF number.
So the greatest common factor 350,667,755 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 216/350, 760/667, 588/755

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 216/350, 760/667, 588/755?

Answer: LCM of Numerators as per given numbers 216/350, 760/667, 588/755 is

LCM of Numerators i.e. for 216,760,588 is 1005480

GCF of denominators i.e. for 350,667,755 is 1.

Thus, LCM of Fractions is 1005480.Finally, LCM of Fractions for 216/350, 760/667, 588/755 is 1005480.