Least Common Multiple of 65/550, 6578/2596

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 65/550, 6578/2596 quickly i.e. 1495 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 65/550, 6578/2596 is 1495.

LCM(65/550, 6578/2596) = 1495

LCM of 65/550, 6578/2596

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 65/550,6578/2596

Given numbers are 65/550,6578/2596

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 65,6578

Least Common Multiple of Numerators i.e. LCM of 65,6578 is 32890.

GCF of Denominators means GCF of 550,2596 as per the given fractions.

GCF of 550,2596 is 22 as it is the largest common factor for these numbers.

Lets's calculate LCM of 65,6578

LCM of Fractions 65/550,6578/2596 is 1495

13 65, 6578
5, 506

∴ So the LCM of the given numbers is 13 x 5 x 506 = 32890

Least Common Multiple of 65,6578 with GCF Formula

Least Common Multiple of 65,6578 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 65,6578 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(65,6578) = 13

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

GCF(65,6578) x common factors =13 x 1 = 13

LCM(65,6578) = ( 65 × 6578 ) / 13

LCM(65,6578) = 427570 / 13

LCM(65,6578) = 32890


Lets's calculate GCF of 550,2596

2 550, 2596
11 275, 1298
25, 118

∴ So the GCF of the given numbers is 2 x 11 = 22

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 32890/22

Therefore the LCM of Fractions 65/550,6578/2596 is 1495

Greatest Common Factor of 550,2596 By Matching Biggest Common Factor Method

Greatest Common Factor of 550,2596 By Matching Biggest Common Factor Method

Factors of 550

List of positive integer factors of 550 that divides 550 without a remainder.

1,2,5,10,11,22,25,50,55,110,275,550

Factors of 2596

List of positive integer factors of 2596 that divides 2596 without a remainder.

1,2,4,11,22,44,59,118,236,649,1298,2596

Greatest Common Factor

We found the factors 550,2596 . The biggest common factor number is the GCF number.
So the greatest common factor 550,2596 is 22.


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 65/550, 6578/2596

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 65/550, 6578/2596?

Answer: LCM of Numerators as per given numbers 65/550, 6578/2596 is

LCM of Numerators i.e. for 65,6578 is 32890

GCF of denominators i.e. for 550,2596 is 22.

Thus, LCM of Fractions is 1495.Finally, LCM of Fractions for 65/550, 6578/2596 is 1495.