Least Common Multiple of 71/352, 30/974, 135/806

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 71/352, 30/974, 135/806 quickly i.e. 9585 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 71/352, 30/974, 135/806 is 9585.

LCM(71/352, 30/974, 135/806) = 9585

LCM of 71/352, 30/974, 135/806

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 71/352,30/974,135/806

Given numbers are 71/352,30/974,135/806

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 71,30,135

Least Common Multiple of Numerators i.e. LCM of 71,30,135 is 19170.

GCF of Denominators means GCF of 352,974,806 as per the given fractions.

GCF of 352,974,806 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 71,30,135

LCM of Fractions 71/352,30/974,135/806 is 9585

3 71, 30, 135
5 71, 10, 45
71, 2, 9

∴ So the LCM of the given numbers is 3 x 5 x 71 x 2 x 9 = 19170

Least Common Multiple of 71,30,135 with GCF Formula

Least Common Multiple of 71,30,135 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 71,30,135 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(71,30,135) = 1

common factors(in case of two or more numbers have common factors) = 15

GCF(71,30,135) x common factors =1 x 15 = 15

LCM(71,30,135) = ( 71 × 30 × 135 ) / 15

LCM(71,30,135) = 287550 / 15

LCM(71,30,135) = 19170


Lets's calculate GCF of 352,974,806

2 352, 974, 806
176, 487, 403

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 19170/2

Therefore the LCM of Fractions 71/352,30/974,135/806 is 9585

Greatest Common Factor of 352,974,806 By Matching Biggest Common Factor Method

Greatest Common Factor of 352,974,806 By Matching Biggest Common Factor Method

Factors of 352

List of positive integer factors of 352 that divides 352 without a remainder.

1,2,4,8,11,16,22,32,44,88,176,352

Factors of 974

List of positive integer factors of 974 that divides 974 without a remainder.

1,2,487,974

Factors of 806

List of positive integer factors of 806 that divides 806 without a remainder.

1,2,13,26,31,62,403,806

Greatest Common Factor

We found the factors 352,974,806 . The biggest common factor number is the GCF number.
So the greatest common factor 352,974,806 is 2.


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 71/352, 30/974, 135/806

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 71/352, 30/974, 135/806?

Answer: LCM of Numerators as per given numbers 71/352, 30/974, 135/806 is

LCM of Numerators i.e. for 71,30,135 is 19170

GCF of denominators i.e. for 352,974,806 is 2.

Thus, LCM of Fractions is 9585.Finally, LCM of Fractions for 71/352, 30/974, 135/806 is 9585.