Least Common Multiple of 35/572, 66/580, 750/475

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 35/572, 66/580, 750/475 quickly i.e. 57750 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 35/572, 66/580, 750/475 is 57750.

LCM(35/572, 66/580, 750/475) = 57750

LCM of 35/572, 66/580, 750/475

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 35/572,66/580,750/475

Given numbers are 35/572,66/580,750/475

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 35,66,750

Least Common Multiple of Numerators i.e. LCM of 35,66,750 is 57750.

GCF of Denominators means GCF of 572,580,475 as per the given fractions.

GCF of 572,580,475 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 35,66,750

LCM of Fractions 35/572,66/580,750/475 is 57750

2 35, 66, 750
3 35, 33, 375
5 35, 11, 125
7, 11, 25

∴ So the LCM of the given numbers is 2 x 3 x 5 x 7 x 11 x 25 = 57750

Least Common Multiple of 35,66,750 with GCF Formula

Least Common Multiple of 35,66,750 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 35,66,750 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(35,66,750) = 1

common factors(in case of two or more numbers have common factors) = 30

GCF(35,66,750) x common factors =1 x 30 = 30

LCM(35,66,750) = ( 35 × 66 × 750 ) / 30

LCM(35,66,750) = 1732500 / 30

LCM(35,66,750) = 57750


Lets's calculate GCF of 572,580,475

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 57750/1

Therefore the LCM of Fractions 35/572,66/580,750/475 is 57750

Greatest Common Factor of 572,580,475 By Matching Biggest Common Factor Method

Greatest Common Factor of 572,580,475 By Matching Biggest Common Factor Method

Factors of 572

List of positive integer factors of 572 that divides 572 without a remainder.

1,2,4,11,13,22,26,44,52,143,286,572

Factors of 580

List of positive integer factors of 580 that divides 580 without a remainder.

1,2,4,5,10,20,29,58,116,145,290,580

Factors of 475

List of positive integer factors of 475 that divides 475 without a remainder.

1,5,19,25,95,475

Greatest Common Factor

We found the factors 572,580,475 . The biggest common factor number is the GCF number.
So the greatest common factor 572,580,475 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 35/572, 66/580, 750/475

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 35/572, 66/580, 750/475?

Answer: LCM of Numerators as per given numbers 35/572, 66/580, 750/475 is

LCM of Numerators i.e. for 35,66,750 is 57750

GCF of denominators i.e. for 572,580,475 is 1.

Thus, LCM of Fractions is 57750.Finally, LCM of Fractions for 35/572, 66/580, 750/475 is 57750.