Least Common Multiple of 45/393, 927/798, 528/434

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 45/393, 927/798, 528/434 quickly i.e. 815760 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 45/393, 927/798, 528/434 is 815760.

LCM(45/393, 927/798, 528/434) = 815760

LCM of 45/393, 927/798, 528/434

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 45/393,927/798,528/434

Given numbers are 45/393,927/798,528/434

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 45,927,528

Least Common Multiple of Numerators i.e. LCM of 45,927,528 is 815760.

GCF of Denominators means GCF of 393,798,434 as per the given fractions.

GCF of 393,798,434 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 45,927,528

LCM of Fractions 45/393,927/798,528/434 is 815760

3 45, 927, 528
3 15, 309, 176
5, 103, 176

∴ So the LCM of the given numbers is 3 x 3 x 5 x 103 x 176 = 815760

Least Common Multiple of 45,927,528 with GCF Formula

Least Common Multiple of 45,927,528 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 45,927,528 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(45,927,528) = 3

common factors(in case of two or more numbers have common factors) = 9

GCF(45,927,528) x common factors =3 x 9 = 27

LCM(45,927,528) = ( 45 × 927 × 528 ) / 27

LCM(45,927,528) = 22025520 / 27

LCM(45,927,528) = 815760


Lets's calculate GCF of 393,798,434

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 815760/1

Therefore the LCM of Fractions 45/393,927/798,528/434 is 815760

Greatest Common Factor of 393,798,434 By Matching Biggest Common Factor Method

Greatest Common Factor of 393,798,434 By Matching Biggest Common Factor Method

Factors of 393

List of positive integer factors of 393 that divides 393 without a remainder.

1,3,131,393

Factors of 798

List of positive integer factors of 798 that divides 798 without a remainder.

1,2,3,6,7,14,19,21,38,42,57,114,133,266,399,798

Factors of 434

List of positive integer factors of 434 that divides 434 without a remainder.

1,2,7,14,31,62,217,434

Greatest Common Factor

We found the factors 393,798,434 . The biggest common factor number is the GCF number.
So the greatest common factor 393,798,434 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 45/393, 927/798, 528/434

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 45/393, 927/798, 528/434?

Answer: LCM of Numerators as per given numbers 45/393, 927/798, 528/434 is

LCM of Numerators i.e. for 45,927,528 is 815760

GCF of denominators i.e. for 393,798,434 is 1.

Thus, LCM of Fractions is 815760.Finally, LCM of Fractions for 45/393, 927/798, 528/434 is 815760.