Least Common Multiple of 562/45, 848/8484

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 562/45, 848/8484 quickly i.e. 238288/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 562/45, 848/8484 is 238288/3.

LCM(562/45, 848/8484) = 238288/3

LCM of 562/45, 848/8484

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 562/45,848/8484

Given numbers are 562/45,848/8484

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 562,848

Least Common Multiple of Numerators i.e. LCM of 562,848 is 238288.

GCF of Denominators means GCF of 45,8484 as per the given fractions.

GCF of 45,8484 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 562,848

LCM of Fractions 562/45,848/8484 is 238288/3

2 562, 848
281, 424

∴ So the LCM of the given numbers is 2 x 281 x 424 = 238288

Least Common Multiple of 562,848 with GCF Formula

Least Common Multiple of 562,848 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 562,848 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(562,848) = 2

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

GCF(562,848) x common factors =2 x 1 = 2

LCM(562,848) = ( 562 × 848 ) / 2

LCM(562,848) = 476576 / 2

LCM(562,848) = 238288


Lets's calculate GCF of 45,8484

3 45, 8484
15, 2828

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 238288/3

Therefore the LCM of Fractions 562/45,848/8484 is 238288/3

Greatest Common Factor of 45,8484 By Matching Biggest Common Factor Method

Greatest Common Factor of 45,8484 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 8484

List of positive integer factors of 8484 that divides 8484 without a remainder.

1,2,3,4,6,7,12,14,21,28,42,84,101,202,303,404,606,707,1212,1414,2121,2828,4242,8484

Greatest Common Factor

We found the factors 45,8484 . The biggest common factor number is the GCF number.
So the greatest common factor 45,8484 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 562/45, 848/8484

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 562/45, 848/8484?

Answer: LCM of Numerators as per given numbers 562/45, 848/8484 is

LCM of Numerators i.e. for 562,848 is 238288

GCF of denominators i.e. for 45,8484 is 3.

Thus, LCM of Fractions is 238288/3.Finally, LCM of Fractions for 562/45, 848/8484 is 238288/3.