Least Common Multiple of 525/30, 760/60, 361/205

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 525/30, 760/60, 361/205 quickly i.e. 303240 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 525/30, 760/60, 361/205 is 303240.

LCM(525/30, 760/60, 361/205) = 303240

LCM of 525/30, 760/60, 361/205

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 525/30,760/60,361/205

Given numbers are 525/30,760/60,361/205

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 525,760,361

Least Common Multiple of Numerators i.e. LCM of 525,760,361 is 1516200.

GCF of Denominators means GCF of 30,60,205 as per the given fractions.

GCF of 30,60,205 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 525,760,361

LCM of Fractions 525/30,760/60,361/205 is 303240

5 525, 760, 361
19 105, 152, 361
105, 8, 19

∴ So the LCM of the given numbers is 5 x 19 x 105 x 8 x 19 = 1516200

Least Common Multiple of 525,760,361 with GCF Formula

Least Common Multiple of 525,760,361 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 525,760,361 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(525,760,361) = 1

common factors(in case of two or more numbers have common factors) = 95

GCF(525,760,361) x common factors =1 x 95 = 95

LCM(525,760,361) = ( 525 × 760 × 361 ) / 95

LCM(525,760,361) = 144039000 / 95

LCM(525,760,361) = 1516200


Lets's calculate GCF of 30,60,205

5 30, 60, 205
6, 12, 41

∴ So the GCF of the given numbers is 5 = 5

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1516200/5

Therefore the LCM of Fractions 525/30,760/60,361/205 is 303240

Greatest Common Factor of 30,60,205 By Matching Biggest Common Factor Method

Greatest Common Factor of 30,60,205 By Matching Biggest Common Factor Method

Factors of 30

List of positive integer factors of 30 that divides 30 without a remainder.

1,2,3,5,6,10,15,30

Factors of 60

List of positive integer factors of 60 that divides 60 without a remainder.

1,2,3,4,5,6,10,12,15,20,30,60

Factors of 205

List of positive integer factors of 205 that divides 205 without a remainder.

1,5,41,205

Greatest Common Factor

We found the factors 30,60,205 . The biggest common factor number is the GCF number.
So the greatest common factor 30,60,205 is 5.


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 525/30, 760/60, 361/205

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 525/30, 760/60, 361/205?

Answer: LCM of Numerators as per given numbers 525/30, 760/60, 361/205 is

LCM of Numerators i.e. for 525,760,361 is 1516200

GCF of denominators i.e. for 30,60,205 is 5.

Thus, LCM of Fractions is 303240.Finally, LCM of Fractions for 525/30, 760/60, 361/205 is 303240.