Least Common Multiple of 559/416, 907/869, 272/269

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 559/416, 907/869, 272/269 quickly i.e. 137907536 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 559/416, 907/869, 272/269 is 137907536.

LCM(559/416, 907/869, 272/269) = 137907536

LCM of 559/416, 907/869, 272/269

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 559/416,907/869,272/269

Given numbers are 559/416,907/869,272/269

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 559,907,272

Least Common Multiple of Numerators i.e. LCM of 559,907,272 is 137907536.

GCF of Denominators means GCF of 416,869,269 as per the given fractions.

GCF of 416,869,269 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 559,907,272

LCM of Fractions 559/416,907/869,272/269 is 137907536

Given numbers has no common factors except 1. So, there LCM is their product i.e 137907536

Least Common Multiple of 559,907,272 with GCF Formula

Least Common Multiple of 559,907,272 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 559,907,272 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(559,907,272) = 1

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

GCF(559,907,272) x common factors =1 x 1 = 1

LCM(559,907,272) = ( 559 × 907 × 272 ) / 1

LCM(559,907,272) = 137907536 / 1

LCM(559,907,272) = 137907536


Lets's calculate GCF of 416,869,269

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 137907536/1

Therefore the LCM of Fractions 559/416,907/869,272/269 is 137907536

Greatest Common Factor of 416,869,269 By Matching Biggest Common Factor Method

Greatest Common Factor of 416,869,269 By Matching Biggest Common Factor Method

Factors of 416

List of positive integer factors of 416 that divides 416 without a remainder.

1,2,4,8,13,16,26,32,52,104,208,416

Factors of 869

List of positive integer factors of 869 that divides 869 without a remainder.

1,11,79,869

Factors of 269

List of positive integer factors of 269 that divides 269 without a remainder.

1,269

Greatest Common Factor

We found the factors 416,869,269 . The biggest common factor number is the GCF number.
So the greatest common factor 416,869,269 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 559/416, 907/869, 272/269

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 559/416, 907/869, 272/269?

Answer: LCM of Numerators as per given numbers 559/416, 907/869, 272/269 is

LCM of Numerators i.e. for 559,907,272 is 137907536

GCF of denominators i.e. for 416,869,269 is 1.

Thus, LCM of Fractions is 137907536.Finally, LCM of Fractions for 559/416, 907/869, 272/269 is 137907536.