Least Common Multiple of 213/817, 473/398, 891/869

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 213/817, 473/398, 891/869 quickly i.e. 2720223 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 213/817, 473/398, 891/869 is 2720223.

LCM(213/817, 473/398, 891/869) = 2720223

LCM of 213/817, 473/398, 891/869

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 213/817,473/398,891/869

Given numbers are 213/817,473/398,891/869

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 213,473,891

Least Common Multiple of Numerators i.e. LCM of 213,473,891 is 2720223.

GCF of Denominators means GCF of 817,398,869 as per the given fractions.

GCF of 817,398,869 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 213,473,891

LCM of Fractions 213/817,473/398,891/869 is 2720223

3 213, 473, 891
11 71, 473, 297
71, 43, 27

∴ So the LCM of the given numbers is 3 x 11 x 71 x 43 x 27 = 2720223

Least Common Multiple of 213,473,891 with GCF Formula

Least Common Multiple of 213,473,891 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 213,473,891 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(213,473,891) = 1

common factors(in case of two or more numbers have common factors) = 33

GCF(213,473,891) x common factors =1 x 33 = 33

LCM(213,473,891) = ( 213 × 473 × 891 ) / 33

LCM(213,473,891) = 89767359 / 33

LCM(213,473,891) = 2720223


Lets's calculate GCF of 817,398,869

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2720223/1

Therefore the LCM of Fractions 213/817,473/398,891/869 is 2720223

Greatest Common Factor of 817,398,869 By Matching Biggest Common Factor Method

Greatest Common Factor of 817,398,869 By Matching Biggest Common Factor Method

Factors of 817

List of positive integer factors of 817 that divides 817 without a remainder.

1,19,43,817

Factors of 398

List of positive integer factors of 398 that divides 398 without a remainder.

1,2,199,398

Factors of 869

List of positive integer factors of 869 that divides 869 without a remainder.

1,11,79,869

Greatest Common Factor

We found the factors 817,398,869 . The biggest common factor number is the GCF number.
So the greatest common factor 817,398,869 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 213/817, 473/398, 891/869

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 213/817, 473/398, 891/869?

Answer: LCM of Numerators as per given numbers 213/817, 473/398, 891/869 is

LCM of Numerators i.e. for 213,473,891 is 2720223

GCF of denominators i.e. for 817,398,869 is 1.

Thus, LCM of Fractions is 2720223.Finally, LCM of Fractions for 213/817, 473/398, 891/869 is 2720223.