Least Common Multiple of 802/296, 372/481, 192/850

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 802/296, 372/481, 192/850 quickly i.e. 2386752 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 802/296, 372/481, 192/850 is 2386752.

LCM(802/296, 372/481, 192/850) = 2386752

LCM of 802/296, 372/481, 192/850

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 802/296,372/481,192/850

Given numbers are 802/296,372/481,192/850

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 802,372,192

Least Common Multiple of Numerators i.e. LCM of 802,372,192 is 2386752.

GCF of Denominators means GCF of 296,481,850 as per the given fractions.

GCF of 296,481,850 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 802,372,192

LCM of Fractions 802/296,372/481,192/850 is 2386752

2 802, 372, 192
2 401, 186, 96
3 401, 93, 48
401, 31, 16

∴ So the LCM of the given numbers is 2 x 2 x 3 x 401 x 31 x 16 = 2386752

Least Common Multiple of 802,372,192 with GCF Formula

Least Common Multiple of 802,372,192 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 802,372,192 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(802,372,192) = 2

common factors(in case of two or more numbers have common factors) = 12

GCF(802,372,192) x common factors =2 x 12 = 24

LCM(802,372,192) = ( 802 × 372 × 192 ) / 24

LCM(802,372,192) = 57282048 / 24

LCM(802,372,192) = 2386752


Lets's calculate GCF of 296,481,850

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2386752/1

Therefore the LCM of Fractions 802/296,372/481,192/850 is 2386752

Greatest Common Factor of 296,481,850 By Matching Biggest Common Factor Method

Greatest Common Factor of 296,481,850 By Matching Biggest Common Factor Method

Factors of 296

List of positive integer factors of 296 that divides 296 without a remainder.

1,2,4,8,37,74,148,296

Factors of 481

List of positive integer factors of 481 that divides 481 without a remainder.

1,13,37,481

Factors of 850

List of positive integer factors of 850 that divides 850 without a remainder.

1,2,5,10,17,25,34,50,85,170,425,850

Greatest Common Factor

We found the factors 296,481,850 . The biggest common factor number is the GCF number.
So the greatest common factor 296,481,850 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 802/296, 372/481, 192/850

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 802/296, 372/481, 192/850?

Answer: LCM of Numerators as per given numbers 802/296, 372/481, 192/850 is

LCM of Numerators i.e. for 802,372,192 is 2386752

GCF of denominators i.e. for 296,481,850 is 1.

Thus, LCM of Fractions is 2386752.Finally, LCM of Fractions for 802/296, 372/481, 192/850 is 2386752.