Least Common Multiple of 702/45, 384/8493

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 702/45, 384/8493 quickly i.e. 14976 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 702/45, 384/8493 is 14976.

LCM(702/45, 384/8493) = 14976

LCM of 702/45, 384/8493

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 702/45,384/8493

Given numbers are 702/45,384/8493

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 702,384

Least Common Multiple of Numerators i.e. LCM of 702,384 is 44928.

GCF of Denominators means GCF of 45,8493 as per the given fractions.

GCF of 45,8493 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 702,384

LCM of Fractions 702/45,384/8493 is 14976

2 702, 384
3 351, 192
117, 64

∴ So the LCM of the given numbers is 2 x 3 x 117 x 64 = 44928

Least Common Multiple of 702,384 with GCF Formula

Least Common Multiple of 702,384 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 702,384 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(702,384) = 6

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

GCF(702,384) x common factors =6 x 1 = 6

LCM(702,384) = ( 702 × 384 ) / 6

LCM(702,384) = 269568 / 6

LCM(702,384) = 44928


Lets's calculate GCF of 45,8493

3 45, 8493
15, 2831

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 44928/3

Therefore the LCM of Fractions 702/45,384/8493 is 14976

Greatest Common Factor of 45,8493 By Matching Biggest Common Factor Method

Greatest Common Factor of 45,8493 By Matching Biggest Common Factor Method

Factors of 45

List of positive integer factors of 45 that divides 45 without a remainder.

1,3,5,9,15,45

Factors of 8493

List of positive integer factors of 8493 that divides 8493 without a remainder.

1,3,19,57,149,447,2831,8493

Greatest Common Factor

We found the factors 45,8493 . The biggest common factor number is the GCF number.
So the greatest common factor 45,8493 is 3.


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 702/45, 384/8493

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 702/45, 384/8493?

Answer: LCM of Numerators as per given numbers 702/45, 384/8493 is

LCM of Numerators i.e. for 702,384 is 44928

GCF of denominators i.e. for 45,8493 is 3.

Thus, LCM of Fractions is 14976.Finally, LCM of Fractions for 702/45, 384/8493 is 14976.