Least Common Multiple of 565/620, 260/443, 480/578

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 565/620, 260/443, 480/578 quickly i.e. 705120 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 565/620, 260/443, 480/578 is 705120.

LCM(565/620, 260/443, 480/578) = 705120

LCM of 565/620, 260/443, 480/578

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 565/620,260/443,480/578

Given numbers are 565/620,260/443,480/578

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 565,260,480

Least Common Multiple of Numerators i.e. LCM of 565,260,480 is 705120.

GCF of Denominators means GCF of 620,443,578 as per the given fractions.

GCF of 620,443,578 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 565,260,480

LCM of Fractions 565/620,260/443,480/578 is 705120

2 565, 260, 480
2 565, 130, 240
5 565, 65, 120
113, 13, 24

∴ So the LCM of the given numbers is 2 x 2 x 5 x 113 x 13 x 24 = 705120

Least Common Multiple of 565,260,480 with GCF Formula

Least Common Multiple of 565,260,480 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 565,260,480 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(565,260,480) = 5

common factors(in case of two or more numbers have common factors) = 20

GCF(565,260,480) x common factors =5 x 20 = 100

LCM(565,260,480) = ( 565 × 260 × 480 ) / 100

LCM(565,260,480) = 70512000 / 100

LCM(565,260,480) = 705120


Lets's calculate GCF of 620,443,578

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 705120/1

Therefore the LCM of Fractions 565/620,260/443,480/578 is 705120

Greatest Common Factor of 620,443,578 By Matching Biggest Common Factor Method

Greatest Common Factor of 620,443,578 By Matching Biggest Common Factor Method

Factors of 620

List of positive integer factors of 620 that divides 620 without a remainder.

1,2,4,5,10,20,31,62,124,155,310,620

Factors of 443

List of positive integer factors of 443 that divides 443 without a remainder.

1,443

Factors of 578

List of positive integer factors of 578 that divides 578 without a remainder.

1,2,17,34,289,578

Greatest Common Factor

We found the factors 620,443,578 . The biggest common factor number is the GCF number.
So the greatest common factor 620,443,578 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 565/620, 260/443, 480/578

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 565/620, 260/443, 480/578?

Answer: LCM of Numerators as per given numbers 565/620, 260/443, 480/578 is

LCM of Numerators i.e. for 565,260,480 is 705120

GCF of denominators i.e. for 620,443,578 is 1.

Thus, LCM of Fractions is 705120.Finally, LCM of Fractions for 565/620, 260/443, 480/578 is 705120.