Least Common Multiple of 901/76, 802/70, 391/733

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 901/76, 802/70, 391/733 quickly i.e. 16619846 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 901/76, 802/70, 391/733 is 16619846.

LCM(901/76, 802/70, 391/733) = 16619846

LCM of 901/76, 802/70, 391/733

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 901/76,802/70,391/733

Given numbers are 901/76,802/70,391/733

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 901,802,391

Least Common Multiple of Numerators i.e. LCM of 901,802,391 is 16619846.

GCF of Denominators means GCF of 76,70,733 as per the given fractions.

GCF of 76,70,733 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 901,802,391

LCM of Fractions 901/76,802/70,391/733 is 16619846

17 901, 802, 391
53, 802, 23

∴ So the LCM of the given numbers is 17 x 53 x 802 x 23 = 16619846

Least Common Multiple of 901,802,391 with GCF Formula

Least Common Multiple of 901,802,391 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 901,802,391 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(901,802,391) = 1

common factors(in case of two or more numbers have common factors) = 17

GCF(901,802,391) x common factors =1 x 17 = 17

LCM(901,802,391) = ( 901 × 802 × 391 ) / 17

LCM(901,802,391) = 282537382 / 17

LCM(901,802,391) = 16619846


Lets's calculate GCF of 76,70,733

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 16619846/1

Therefore the LCM of Fractions 901/76,802/70,391/733 is 16619846

Greatest Common Factor of 76,70,733 By Matching Biggest Common Factor Method

Greatest Common Factor of 76,70,733 By Matching Biggest Common Factor Method

Factors of 76

List of positive integer factors of 76 that divides 76 without a remainder.

1,2,4,19,38,76

Factors of 70

List of positive integer factors of 70 that divides 70 without a remainder.

1,2,5,7,10,14,35,70

Factors of 733

List of positive integer factors of 733 that divides 733 without a remainder.

1,733

Greatest Common Factor

We found the factors 76,70,733 . The biggest common factor number is the GCF number.
So the greatest common factor 76,70,733 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 901/76, 802/70, 391/733

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 901/76, 802/70, 391/733?

Answer: LCM of Numerators as per given numbers 901/76, 802/70, 391/733 is

LCM of Numerators i.e. for 901,802,391 is 16619846

GCF of denominators i.e. for 76,70,733 is 1.

Thus, LCM of Fractions is 16619846.Finally, LCM of Fractions for 901/76, 802/70, 391/733 is 16619846.