Least Common Multiple of 75/285, 821/202, 509/374

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 75/285, 821/202, 509/374 quickly i.e. 31341675 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 75/285, 821/202, 509/374 is 31341675.

LCM(75/285, 821/202, 509/374) = 31341675

LCM of 75/285, 821/202, 509/374

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 75/285,821/202,509/374

Given numbers are 75/285,821/202,509/374

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 75,821,509

Least Common Multiple of Numerators i.e. LCM of 75,821,509 is 31341675.

GCF of Denominators means GCF of 285,202,374 as per the given fractions.

GCF of 285,202,374 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 75,821,509

LCM of Fractions 75/285,821/202,509/374 is 31341675

Given numbers has no common factors except 1. So, there LCM is their product i.e 31341675

Least Common Multiple of 75,821,509 with GCF Formula

Least Common Multiple of 75,821,509 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 75,821,509 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(75,821,509) = 1

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

GCF(75,821,509) x common factors =1 x 1 = 1

LCM(75,821,509) = ( 75 × 821 × 509 ) / 1

LCM(75,821,509) = 31341675 / 1

LCM(75,821,509) = 31341675


Lets's calculate GCF of 285,202,374

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 31341675/1

Therefore the LCM of Fractions 75/285,821/202,509/374 is 31341675

Greatest Common Factor of 285,202,374 By Matching Biggest Common Factor Method

Greatest Common Factor of 285,202,374 By Matching Biggest Common Factor Method

Factors of 285

List of positive integer factors of 285 that divides 285 without a remainder.

1,3,5,15,19,57,95,285

Factors of 202

List of positive integer factors of 202 that divides 202 without a remainder.

1,2,101,202

Factors of 374

List of positive integer factors of 374 that divides 374 without a remainder.

1,2,11,17,22,34,187,374

Greatest Common Factor

We found the factors 285,202,374 . The biggest common factor number is the GCF number.
So the greatest common factor 285,202,374 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 75/285, 821/202, 509/374

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 75/285, 821/202, 509/374?

Answer: LCM of Numerators as per given numbers 75/285, 821/202, 509/374 is

LCM of Numerators i.e. for 75,821,509 is 31341675

GCF of denominators i.e. for 285,202,374 is 1.

Thus, LCM of Fractions is 31341675.Finally, LCM of Fractions for 75/285, 821/202, 509/374 is 31341675.