Least Common Multiple of 213/89, 906/27, 745/702

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 213/89, 906/27, 745/702 quickly i.e. 47922870 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 213/89, 906/27, 745/702 is 47922870.

LCM(213/89, 906/27, 745/702) = 47922870

LCM of 213/89, 906/27, 745/702

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 213/89,906/27,745/702

Given numbers are 213/89,906/27,745/702

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 213,906,745

Least Common Multiple of Numerators i.e. LCM of 213,906,745 is 47922870.

GCF of Denominators means GCF of 89,27,702 as per the given fractions.

GCF of 89,27,702 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 213,906,745

LCM of Fractions 213/89,906/27,745/702 is 47922870

3 213, 906, 745
71, 302, 745

∴ So the LCM of the given numbers is 3 x 71 x 302 x 745 = 47922870

Least Common Multiple of 213,906,745 with GCF Formula

Least Common Multiple of 213,906,745 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 213,906,745 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(213,906,745) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(213,906,745) x common factors =1 x 3 = 3

LCM(213,906,745) = ( 213 × 906 × 745 ) / 3

LCM(213,906,745) = 143768610 / 3

LCM(213,906,745) = 47922870


Lets's calculate GCF of 89,27,702

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 47922870/1

Therefore the LCM of Fractions 213/89,906/27,745/702 is 47922870

Greatest Common Factor of 89,27,702 By Matching Biggest Common Factor Method

Greatest Common Factor of 89,27,702 By Matching Biggest Common Factor Method

Factors of 89

List of positive integer factors of 89 that divides 89 without a remainder.

1,89

Factors of 27

List of positive integer factors of 27 that divides 27 without a remainder.

1,3,9,27

Factors of 702

List of positive integer factors of 702 that divides 702 without a remainder.

1,2,3,6,9,13,18,26,27,39,54,78,117,234,351,702

Greatest Common Factor

We found the factors 89,27,702 . The biggest common factor number is the GCF number.
So the greatest common factor 89,27,702 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 213/89, 906/27, 745/702

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 213/89, 906/27, 745/702?

Answer: LCM of Numerators as per given numbers 213/89, 906/27, 745/702 is

LCM of Numerators i.e. for 213,906,745 is 47922870

GCF of denominators i.e. for 89,27,702 is 1.

Thus, LCM of Fractions is 47922870.Finally, LCM of Fractions for 213/89, 906/27, 745/702 is 47922870.