Least Common Multiple of 550/36, 260/71, 969/398

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 550/36, 260/71, 969/398 quickly i.e. 13856700 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 550/36, 260/71, 969/398 is 13856700.

LCM(550/36, 260/71, 969/398) = 13856700

LCM of 550/36, 260/71, 969/398

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 550/36,260/71,969/398

Given numbers are 550/36,260/71,969/398

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 550,260,969

Least Common Multiple of Numerators i.e. LCM of 550,260,969 is 13856700.

GCF of Denominators means GCF of 36,71,398 as per the given fractions.

GCF of 36,71,398 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 550,260,969

LCM of Fractions 550/36,260/71,969/398 is 13856700

2 550, 260, 969
5 275, 130, 969
55, 26, 969

∴ So the LCM of the given numbers is 2 x 5 x 55 x 26 x 969 = 13856700

Least Common Multiple of 550,260,969 with GCF Formula

Least Common Multiple of 550,260,969 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 550,260,969 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(550,260,969) = 1

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

GCF(550,260,969) x common factors =1 x 10 = 10

LCM(550,260,969) = ( 550 × 260 × 969 ) / 10

LCM(550,260,969) = 138567000 / 10

LCM(550,260,969) = 13856700


Lets's calculate GCF of 36,71,398

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 13856700/1

Therefore the LCM of Fractions 550/36,260/71,969/398 is 13856700

Greatest Common Factor of 36,71,398 By Matching Biggest Common Factor Method

Greatest Common Factor of 36,71,398 By Matching Biggest Common Factor Method

Factors of 36

List of positive integer factors of 36 that divides 36 without a remainder.

1,2,3,4,6,9,12,18,36

Factors of 71

List of positive integer factors of 71 that divides 71 without a remainder.

1,71

Factors of 398

List of positive integer factors of 398 that divides 398 without a remainder.

1,2,199,398

Greatest Common Factor

We found the factors 36,71,398 . The biggest common factor number is the GCF number.
So the greatest common factor 36,71,398 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 550/36, 260/71, 969/398

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 550/36, 260/71, 969/398?

Answer: LCM of Numerators as per given numbers 550/36, 260/71, 969/398 is

LCM of Numerators i.e. for 550,260,969 is 13856700

GCF of denominators i.e. for 36,71,398 is 1.

Thus, LCM of Fractions is 13856700.Finally, LCM of Fractions for 550/36, 260/71, 969/398 is 13856700.