Least Common Multiple of 575/16, 392/2820

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 575/16, 392/2820 quickly i.e. 56350 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 575/16, 392/2820 is 56350.

LCM(575/16, 392/2820) = 56350

LCM of 575/16, 392/2820

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 575/16,392/2820

Given numbers are 575/16,392/2820

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 575,392

Least Common Multiple of Numerators i.e. LCM of 575,392 is 225400.

GCF of Denominators means GCF of 16,2820 as per the given fractions.

GCF of 16,2820 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 575,392

LCM of Fractions 575/16,392/2820 is 56350

Given numbers has no common factors except 1. So, there LCM is their product i.e 225400

Least Common Multiple of 575,392 with GCF Formula

Least Common Multiple of 575,392 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 575,392 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(575,392) = 1

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

GCF(575,392) x common factors =1 x 1 = 1

LCM(575,392) = ( 575 × 392 ) / 1

LCM(575,392) = 225400 / 1

LCM(575,392) = 225400


Lets's calculate GCF of 16,2820

2 16, 2820
2 8, 1410
4, 705

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 225400/4

Therefore the LCM of Fractions 575/16,392/2820 is 56350

Greatest Common Factor of 16,2820 By Matching Biggest Common Factor Method

Greatest Common Factor of 16,2820 By Matching Biggest Common Factor Method

Factors of 16

List of positive integer factors of 16 that divides 16 without a remainder.

1,2,4,8,16

Factors of 2820

List of positive integer factors of 2820 that divides 2820 without a remainder.

1,2,3,4,5,6,10,12,15,20,30,47,60,94,141,188,235,282,470,564,705,940,1410,2820

Greatest Common Factor

We found the factors 16,2820 . The biggest common factor number is the GCF number.
So the greatest common factor 16,2820 is 4.


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 575/16, 392/2820

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 575/16, 392/2820?

Answer: LCM of Numerators as per given numbers 575/16, 392/2820 is

LCM of Numerators i.e. for 575,392 is 225400

GCF of denominators i.e. for 16,2820 is 4.

Thus, LCM of Fractions is 56350.Finally, LCM of Fractions for 575/16, 392/2820 is 56350.