Least Common Multiple of 44/698, 65/404, 215/620

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 44/698, 65/404, 215/620 quickly i.e. 61490 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 44/698, 65/404, 215/620 is 61490.

LCM(44/698, 65/404, 215/620) = 61490

LCM of 44/698, 65/404, 215/620

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 44/698,65/404,215/620

Given numbers are 44/698,65/404,215/620

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 44,65,215

Least Common Multiple of Numerators i.e. LCM of 44,65,215 is 122980.

GCF of Denominators means GCF of 698,404,620 as per the given fractions.

GCF of 698,404,620 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 44,65,215

LCM of Fractions 44/698,65/404,215/620 is 61490

5 44, 65, 215
44, 13, 43

∴ So the LCM of the given numbers is 5 x 44 x 13 x 43 = 122980

Least Common Multiple of 44,65,215 with GCF Formula

Least Common Multiple of 44,65,215 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 44,65,215 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(44,65,215) = 1

common factors(in case of two or more numbers have common factors) = 5

GCF(44,65,215) x common factors =1 x 5 = 5

LCM(44,65,215) = ( 44 × 65 × 215 ) / 5

LCM(44,65,215) = 614900 / 5

LCM(44,65,215) = 122980


Lets's calculate GCF of 698,404,620

2 698, 404, 620
349, 202, 310

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 122980/2

Therefore the LCM of Fractions 44/698,65/404,215/620 is 61490

Greatest Common Factor of 698,404,620 By Matching Biggest Common Factor Method

Greatest Common Factor of 698,404,620 By Matching Biggest Common Factor Method

Factors of 698

List of positive integer factors of 698 that divides 698 without a remainder.

1,2,349,698

Factors of 404

List of positive integer factors of 404 that divides 404 without a remainder.

1,2,4,101,202,404

Factors of 620

List of positive integer factors of 620 that divides 620 without a remainder.

1,2,4,5,10,20,31,62,124,155,310,620

Greatest Common Factor

We found the factors 698,404,620 . The biggest common factor number is the GCF number.
So the greatest common factor 698,404,620 is 2.


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 44/698, 65/404, 215/620

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 44/698, 65/404, 215/620?

Answer: LCM of Numerators as per given numbers 44/698, 65/404, 215/620 is

LCM of Numerators i.e. for 44,65,215 is 122980

GCF of denominators i.e. for 698,404,620 is 2.

Thus, LCM of Fractions is 61490.Finally, LCM of Fractions for 44/698, 65/404, 215/620 is 61490.