Least Common Multiple of 70/65, 59/15, 741/285

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 70/65, 59/15, 741/285 quickly i.e. 612066 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 70/65, 59/15, 741/285 is 612066.

LCM(70/65, 59/15, 741/285) = 612066

LCM of 70/65, 59/15, 741/285

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 70/65,59/15,741/285

Given numbers are 70/65,59/15,741/285

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 70,59,741

Least Common Multiple of Numerators i.e. LCM of 70,59,741 is 3060330.

GCF of Denominators means GCF of 65,15,285 as per the given fractions.

GCF of 65,15,285 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 70,59,741

LCM of Fractions 70/65,59/15,741/285 is 612066

Given numbers has no common factors except 1. So, there LCM is their product i.e 3060330

Least Common Multiple of 70,59,741 with GCF Formula

Least Common Multiple of 70,59,741 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 70,59,741 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(70,59,741) = 1

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

GCF(70,59,741) x common factors =1 x 1 = 1

LCM(70,59,741) = ( 70 × 59 × 741 ) / 1

LCM(70,59,741) = 3060330 / 1

LCM(70,59,741) = 3060330


Lets's calculate GCF of 65,15,285

5 65, 15, 285
13, 3, 57

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3060330/5

Therefore the LCM of Fractions 70/65,59/15,741/285 is 612066

Greatest Common Factor of 65,15,285 By Matching Biggest Common Factor Method

Greatest Common Factor of 65,15,285 By Matching Biggest Common Factor Method

Factors of 65

List of positive integer factors of 65 that divides 65 without a remainder.

1,5,13,65

Factors of 15

List of positive integer factors of 15 that divides 15 without a remainder.

1,3,5,15

Factors of 285

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

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

Greatest Common Factor

We found the factors 65,15,285 . The biggest common factor number is the GCF number.
So the greatest common factor 65,15,285 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 70/65, 59/15, 741/285

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 70/65, 59/15, 741/285?

Answer: LCM of Numerators as per given numbers 70/65, 59/15, 741/285 is

LCM of Numerators i.e. for 70,59,741 is 3060330

GCF of denominators i.e. for 65,15,285 is 5.

Thus, LCM of Fractions is 612066.Finally, LCM of Fractions for 70/65, 59/15, 741/285 is 612066.