Least Common Multiple of 216/675, 814/551

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 216/675, 814/551 quickly i.e. 87912 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 216/675, 814/551 is 87912.

LCM(216/675, 814/551) = 87912

LCM of 216/675, 814/551

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 216/675,814/551

Given numbers are 216/675,814/551

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 216,814

Least Common Multiple of Numerators i.e. LCM of 216,814 is 87912.

GCF of Denominators means GCF of 675,551 as per the given fractions.

GCF of 675,551 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 216,814

LCM of Fractions 216/675,814/551 is 87912

2 216, 814
108, 407

∴ So the LCM of the given numbers is 2 x 108 x 407 = 87912

Least Common Multiple of 216,814 with GCF Formula

Least Common Multiple of 216,814 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 216,814 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(216,814) = 2

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

GCF(216,814) x common factors =2 x 1 = 2

LCM(216,814) = ( 216 × 814 ) / 2

LCM(216,814) = 175824 / 2

LCM(216,814) = 87912


Lets's calculate GCF of 675,551

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 87912/1

Therefore the LCM of Fractions 216/675,814/551 is 87912

Greatest Common Factor of 675,551 By Matching Biggest Common Factor Method

Greatest Common Factor of 675,551 By Matching Biggest Common Factor Method

Factors of 675

List of positive integer factors of 675 that divides 675 without a remainder.

1,3,5,9,15,25,27,45,75,135,225,675

Factors of 551

List of positive integer factors of 551 that divides 551 without a remainder.

1,19,29,551

Greatest Common Factor

We found the factors 675,551 . The biggest common factor number is the GCF number.
So the greatest common factor 675,551 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 216/675, 814/551

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 216/675, 814/551?

Answer: LCM of Numerators as per given numbers 216/675, 814/551 is

LCM of Numerators i.e. for 216,814 is 87912

GCF of denominators i.e. for 675,551 is 1.

Thus, LCM of Fractions is 87912.Finally, LCM of Fractions for 216/675, 814/551 is 87912.