Least Common Multiple of 65/131, 510/719, 586/573

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 65/131, 510/719, 586/573 quickly i.e. 1942590 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 65/131, 510/719, 586/573 is 1942590.

LCM(65/131, 510/719, 586/573) = 1942590

LCM of 65/131, 510/719, 586/573

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 65/131,510/719,586/573

Given numbers are 65/131,510/719,586/573

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 65,510,586

Least Common Multiple of Numerators i.e. LCM of 65,510,586 is 1942590.

GCF of Denominators means GCF of 131,719,573 as per the given fractions.

GCF of 131,719,573 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 65,510,586

LCM of Fractions 65/131,510/719,586/573 is 1942590

2 65, 510, 586
5 65, 255, 293
13, 51, 293

∴ So the LCM of the given numbers is 2 x 5 x 13 x 51 x 293 = 1942590

Least Common Multiple of 65,510,586 with GCF Formula

Least Common Multiple of 65,510,586 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 65,510,586 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(65,510,586) = 1

common factors(in case of two or more numbers have common factors) = 10

GCF(65,510,586) x common factors =1 x 10 = 10

LCM(65,510,586) = ( 65 × 510 × 586 ) / 10

LCM(65,510,586) = 19425900 / 10

LCM(65,510,586) = 1942590


Lets's calculate GCF of 131,719,573

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1942590/1

Therefore the LCM of Fractions 65/131,510/719,586/573 is 1942590

Greatest Common Factor of 131,719,573 By Matching Biggest Common Factor Method

Greatest Common Factor of 131,719,573 By Matching Biggest Common Factor Method

Factors of 131

List of positive integer factors of 131 that divides 131 without a remainder.

1,131

Factors of 719

List of positive integer factors of 719 that divides 719 without a remainder.

1,719

Factors of 573

List of positive integer factors of 573 that divides 573 without a remainder.

1,3,191,573

Greatest Common Factor

We found the factors 131,719,573 . The biggest common factor number is the GCF number.
So the greatest common factor 131,719,573 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 65/131, 510/719, 586/573

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 65/131, 510/719, 586/573?

Answer: LCM of Numerators as per given numbers 65/131, 510/719, 586/573 is

LCM of Numerators i.e. for 65,510,586 is 1942590

GCF of denominators i.e. for 131,719,573 is 1.

Thus, LCM of Fractions is 1942590.Finally, LCM of Fractions for 65/131, 510/719, 586/573 is 1942590.