Least Common Multiple of 92/28, 64/54, 509/393

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 92/28, 64/54, 509/393 quickly i.e. 749248 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 92/28, 64/54, 509/393 is 749248.

LCM(92/28, 64/54, 509/393) = 749248

LCM of 92/28, 64/54, 509/393

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 92/28,64/54,509/393

Given numbers are 92/28,64/54,509/393

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 92,64,509

Least Common Multiple of Numerators i.e. LCM of 92,64,509 is 749248.

GCF of Denominators means GCF of 28,54,393 as per the given fractions.

GCF of 28,54,393 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 92,64,509

LCM of Fractions 92/28,64/54,509/393 is 749248

2 92, 64, 509
2 46, 32, 509
23, 16, 509

∴ So the LCM of the given numbers is 2 x 2 x 23 x 16 x 509 = 749248

Least Common Multiple of 92,64,509 with GCF Formula

Least Common Multiple of 92,64,509 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 92,64,509 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(92,64,509) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(92,64,509) x common factors =1 x 4 = 4

LCM(92,64,509) = ( 92 × 64 × 509 ) / 4

LCM(92,64,509) = 2996992 / 4

LCM(92,64,509) = 749248


Lets's calculate GCF of 28,54,393

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 749248/1

Therefore the LCM of Fractions 92/28,64/54,509/393 is 749248

Greatest Common Factor of 28,54,393 By Matching Biggest Common Factor Method

Greatest Common Factor of 28,54,393 By Matching Biggest Common Factor Method

Factors of 28

List of positive integer factors of 28 that divides 28 without a remainder.

1,2,4,7,14,28

Factors of 54

List of positive integer factors of 54 that divides 54 without a remainder.

1,2,3,6,9,18,27,54

Factors of 393

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

1,3,131,393

Greatest Common Factor

We found the factors 28,54,393 . The biggest common factor number is the GCF number.
So the greatest common factor 28,54,393 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 92/28, 64/54, 509/393

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 92/28, 64/54, 509/393?

Answer: LCM of Numerators as per given numbers 92/28, 64/54, 509/393 is

LCM of Numerators i.e. for 92,64,509 is 749248

GCF of denominators i.e. for 28,54,393 is 1.

Thus, LCM of Fractions is 749248.Finally, LCM of Fractions for 92/28, 64/54, 509/393 is 749248.