Least Common Multiple of 575/920, 390/220, 335/643

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 575/920, 390/220, 335/643 quickly i.e. 3004950 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 575/920, 390/220, 335/643 is 3004950.

LCM(575/920, 390/220, 335/643) = 3004950

LCM of 575/920, 390/220, 335/643

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 575/920,390/220,335/643

Given numbers are 575/920,390/220,335/643

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 575,390,335

Least Common Multiple of Numerators i.e. LCM of 575,390,335 is 3004950.

GCF of Denominators means GCF of 920,220,643 as per the given fractions.

GCF of 920,220,643 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 575,390,335

LCM of Fractions 575/920,390/220,335/643 is 3004950

5 575, 390, 335
115, 78, 67

∴ So the LCM of the given numbers is 5 x 115 x 78 x 67 = 3004950

Least Common Multiple of 575,390,335 with GCF Formula

Least Common Multiple of 575,390,335 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 575,390,335 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(575,390,335) = 5

common factors(in case of two or more numbers have common factors) = 5

GCF(575,390,335) x common factors =5 x 5 = 25

LCM(575,390,335) = ( 575 × 390 × 335 ) / 25

LCM(575,390,335) = 75123750 / 25

LCM(575,390,335) = 3004950


Lets's calculate GCF of 920,220,643

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3004950/1

Therefore the LCM of Fractions 575/920,390/220,335/643 is 3004950

Greatest Common Factor of 920,220,643 By Matching Biggest Common Factor Method

Greatest Common Factor of 920,220,643 By Matching Biggest Common Factor Method

Factors of 920

List of positive integer factors of 920 that divides 920 without a remainder.

1,2,4,5,8,10,20,23,40,46,92,115,184,230,460,920

Factors of 220

List of positive integer factors of 220 that divides 220 without a remainder.

1,2,4,5,10,11,20,22,44,55,110,220

Factors of 643

List of positive integer factors of 643 that divides 643 without a remainder.

1,643

Greatest Common Factor

We found the factors 920,220,643 . The biggest common factor number is the GCF number.
So the greatest common factor 920,220,643 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 575/920, 390/220, 335/643

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 575/920, 390/220, 335/643?

Answer: LCM of Numerators as per given numbers 575/920, 390/220, 335/643 is

LCM of Numerators i.e. for 575,390,335 is 3004950

GCF of denominators i.e. for 920,220,643 is 1.

Thus, LCM of Fractions is 3004950.Finally, LCM of Fractions for 575/920, 390/220, 335/643 is 3004950.