Least Common Multiple of 783/524, 902/401, 274/133

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 783/524, 902/401, 274/133 quickly i.e. 96758442 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 783/524, 902/401, 274/133 is 96758442.

LCM(783/524, 902/401, 274/133) = 96758442

LCM of 783/524, 902/401, 274/133

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 783/524,902/401,274/133

Given numbers are 783/524,902/401,274/133

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 783,902,274

Least Common Multiple of Numerators i.e. LCM of 783,902,274 is 96758442.

GCF of Denominators means GCF of 524,401,133 as per the given fractions.

GCF of 524,401,133 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 783,902,274

LCM of Fractions 783/524,902/401,274/133 is 96758442

2 783, 902, 274
783, 451, 137

∴ So the LCM of the given numbers is 2 x 783 x 451 x 137 = 96758442

Least Common Multiple of 783,902,274 with GCF Formula

Least Common Multiple of 783,902,274 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 783,902,274 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(783,902,274) = 1

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

GCF(783,902,274) x common factors =1 x 2 = 2

LCM(783,902,274) = ( 783 × 902 × 274 ) / 2

LCM(783,902,274) = 193516884 / 2

LCM(783,902,274) = 96758442


Lets's calculate GCF of 524,401,133

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 96758442/1

Therefore the LCM of Fractions 783/524,902/401,274/133 is 96758442

Greatest Common Factor of 524,401,133 By Matching Biggest Common Factor Method

Greatest Common Factor of 524,401,133 By Matching Biggest Common Factor Method

Factors of 524

List of positive integer factors of 524 that divides 524 without a remainder.

1,2,4,131,262,524

Factors of 401

List of positive integer factors of 401 that divides 401 without a remainder.

1,401

Factors of 133

List of positive integer factors of 133 that divides 133 without a remainder.

1,7,19,133

Greatest Common Factor

We found the factors 524,401,133 . The biggest common factor number is the GCF number.
So the greatest common factor 524,401,133 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 783/524, 902/401, 274/133

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 783/524, 902/401, 274/133?

Answer: LCM of Numerators as per given numbers 783/524, 902/401, 274/133 is

LCM of Numerators i.e. for 783,902,274 is 96758442

GCF of denominators i.e. for 524,401,133 is 1.

Thus, LCM of Fractions is 96758442.Finally, LCM of Fractions for 783/524, 902/401, 274/133 is 96758442.