Least Common Multiple of 559/83, 668/99, 268/560

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 559/83, 668/99, 268/560 quickly i.e. 25018604 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 559/83, 668/99, 268/560 is 25018604.

LCM(559/83, 668/99, 268/560) = 25018604

LCM of 559/83, 668/99, 268/560

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 559/83,668/99,268/560

Given numbers are 559/83,668/99,268/560

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 559,668,268

Least Common Multiple of Numerators i.e. LCM of 559,668,268 is 25018604.

GCF of Denominators means GCF of 83,99,560 as per the given fractions.

GCF of 83,99,560 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 559,668,268

LCM of Fractions 559/83,668/99,268/560 is 25018604

2 559, 668, 268
2 559, 334, 134
559, 167, 67

∴ So the LCM of the given numbers is 2 x 2 x 559 x 167 x 67 = 25018604

Least Common Multiple of 559,668,268 with GCF Formula

Least Common Multiple of 559,668,268 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 559,668,268 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(559,668,268) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(559,668,268) x common factors =1 x 4 = 4

LCM(559,668,268) = ( 559 × 668 × 268 ) / 4

LCM(559,668,268) = 100074416 / 4

LCM(559,668,268) = 25018604


Lets's calculate GCF of 83,99,560

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 25018604/1

Therefore the LCM of Fractions 559/83,668/99,268/560 is 25018604

Greatest Common Factor of 83,99,560 By Matching Biggest Common Factor Method

Greatest Common Factor of 83,99,560 By Matching Biggest Common Factor Method

Factors of 83

List of positive integer factors of 83 that divides 83 without a remainder.

1,83

Factors of 99

List of positive integer factors of 99 that divides 99 without a remainder.

1,3,9,11,33,99

Factors of 560

List of positive integer factors of 560 that divides 560 without a remainder.

1,2,4,5,7,8,10,14,16,20,28,35,40,56,70,80,112,140,280,560

Greatest Common Factor

We found the factors 83,99,560 . The biggest common factor number is the GCF number.
So the greatest common factor 83,99,560 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 559/83, 668/99, 268/560

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 559/83, 668/99, 268/560?

Answer: LCM of Numerators as per given numbers 559/83, 668/99, 268/560 is

LCM of Numerators i.e. for 559,668,268 is 25018604

GCF of denominators i.e. for 83,99,560 is 1.

Thus, LCM of Fractions is 25018604.Finally, LCM of Fractions for 559/83, 668/99, 268/560 is 25018604.