Least Common Multiple of 484/808, 120/608

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 484/808, 120/608 quickly i.e. 1815 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 484/808, 120/608 is 1815.

LCM(484/808, 120/608) = 1815

LCM of 484/808, 120/608

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 484/808,120/608

Given numbers are 484/808,120/608

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 484,120

Least Common Multiple of Numerators i.e. LCM of 484,120 is 14520.

GCF of Denominators means GCF of 808,608 as per the given fractions.

GCF of 808,608 is 8 as it is the largest common factor for these numbers.

Lets's calculate LCM of 484,120

LCM of Fractions 484/808,120/608 is 1815

2 484, 120
2 242, 60
121, 30

∴ So the LCM of the given numbers is 2 x 2 x 121 x 30 = 14520

Least Common Multiple of 484,120 with GCF Formula

Least Common Multiple of 484,120 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 484,120 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(484,120) = 4

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

GCF(484,120) x common factors =4 x 1 = 4

LCM(484,120) = ( 484 × 120 ) / 4

LCM(484,120) = 58080 / 4

LCM(484,120) = 14520


Lets's calculate GCF of 808,608

2 808, 608
2 404, 304
2 202, 152
101, 76

∴ So the GCF of the given numbers is 2 x 2 x 2 = 8

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 14520/8

Therefore the LCM of Fractions 484/808,120/608 is 1815

Greatest Common Factor of 808,608 By Matching Biggest Common Factor Method

Greatest Common Factor of 808,608 By Matching Biggest Common Factor Method

Factors of 808

List of positive integer factors of 808 that divides 808 without a remainder.

1,2,4,8,101,202,404,808

Factors of 608

List of positive integer factors of 608 that divides 608 without a remainder.

1,2,4,8,16,19,32,38,76,152,304,608

Greatest Common Factor

We found the factors 808,608 . The biggest common factor number is the GCF number.
So the greatest common factor 808,608 is 8.


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 484/808, 120/608

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 484/808, 120/608?

Answer: LCM of Numerators as per given numbers 484/808, 120/608 is

LCM of Numerators i.e. for 484,120 is 14520

GCF of denominators i.e. for 808,608 is 8.

Thus, LCM of Fractions is 1815.Finally, LCM of Fractions for 484/808, 120/608 is 1815.