Least Common Multiple of 728/485, 9457/1148

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 728/485, 9457/1148 quickly i.e. 983528 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 728/485, 9457/1148 is 983528.

LCM(728/485, 9457/1148) = 983528

LCM of 728/485, 9457/1148

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 728/485,9457/1148

Given numbers are 728/485,9457/1148

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 728,9457

Least Common Multiple of Numerators i.e. LCM of 728,9457 is 983528.

GCF of Denominators means GCF of 485,1148 as per the given fractions.

GCF of 485,1148 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 728,9457

LCM of Fractions 728/485,9457/1148 is 983528

7 728, 9457
104, 1351

∴ So the LCM of the given numbers is 7 x 104 x 1351 = 983528

Least Common Multiple of 728,9457 with GCF Formula

Least Common Multiple of 728,9457 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 728,9457 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(728,9457) = 7

common factors(in case of two or more numbers have common factors) = 1

GCF(728,9457) x common factors =7 x 1 = 7

LCM(728,9457) = ( 728 × 9457 ) / 7

LCM(728,9457) = 6884696 / 7

LCM(728,9457) = 983528


Lets's calculate GCF of 485,1148

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 983528/1

Therefore the LCM of Fractions 728/485,9457/1148 is 983528

Greatest Common Factor of 485,1148 By Matching Biggest Common Factor Method

Greatest Common Factor of 485,1148 By Matching Biggest Common Factor Method

Factors of 485

List of positive integer factors of 485 that divides 485 without a remainder.

1,5,97,485

Factors of 1148

List of positive integer factors of 1148 that divides 1148 without a remainder.

1,2,4,7,14,28,41,82,164,287,574,1148

Greatest Common Factor

We found the factors 485,1148 . The biggest common factor number is the GCF number.
So the greatest common factor 485,1148 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 728/485, 9457/1148

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 728/485, 9457/1148?

Answer: LCM of Numerators as per given numbers 728/485, 9457/1148 is

LCM of Numerators i.e. for 728,9457 is 983528

GCF of denominators i.e. for 485,1148 is 1.

Thus, LCM of Fractions is 983528.Finally, LCM of Fractions for 728/485, 9457/1148 is 983528.