Least Common Multiple of 71/802, 22/905, 120/758

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 71/802, 22/905, 120/758 quickly i.e. 93720 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 71/802, 22/905, 120/758 is 93720.

LCM(71/802, 22/905, 120/758) = 93720

LCM of 71/802, 22/905, 120/758

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 71/802,22/905,120/758

Given numbers are 71/802,22/905,120/758

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 71,22,120

Least Common Multiple of Numerators i.e. LCM of 71,22,120 is 93720.

GCF of Denominators means GCF of 802,905,758 as per the given fractions.

GCF of 802,905,758 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 71,22,120

LCM of Fractions 71/802,22/905,120/758 is 93720

2 71, 22, 120
71, 11, 60

∴ So the LCM of the given numbers is 2 x 71 x 11 x 60 = 93720

Least Common Multiple of 71,22,120 with GCF Formula

Least Common Multiple of 71,22,120 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 71,22,120 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(71,22,120) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(71,22,120) x common factors =1 x 2 = 2

LCM(71,22,120) = ( 71 × 22 × 120 ) / 2

LCM(71,22,120) = 187440 / 2

LCM(71,22,120) = 93720


Lets's calculate GCF of 802,905,758

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 93720/1

Therefore the LCM of Fractions 71/802,22/905,120/758 is 93720

Greatest Common Factor of 802,905,758 By Matching Biggest Common Factor Method

Greatest Common Factor of 802,905,758 By Matching Biggest Common Factor Method

Factors of 802

List of positive integer factors of 802 that divides 802 without a remainder.

1,2,401,802

Factors of 905

List of positive integer factors of 905 that divides 905 without a remainder.

1,5,181,905

Factors of 758

List of positive integer factors of 758 that divides 758 without a remainder.

1,2,379,758

Greatest Common Factor

We found the factors 802,905,758 . The biggest common factor number is the GCF number.
So the greatest common factor 802,905,758 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 71/802, 22/905, 120/758

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 71/802, 22/905, 120/758?

Answer: LCM of Numerators as per given numbers 71/802, 22/905, 120/758 is

LCM of Numerators i.e. for 71,22,120 is 93720

GCF of denominators i.e. for 802,905,758 is 1.

Thus, LCM of Fractions is 93720.Finally, LCM of Fractions for 71/802, 22/905, 120/758 is 93720.