Least Common Multiple of 11/560, 55/660, 668/495

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 11/560, 55/660, 668/495 quickly i.e. 7348 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 11/560, 55/660, 668/495 is 7348.

LCM(11/560, 55/660, 668/495) = 7348

LCM of 11/560, 55/660, 668/495

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 11/560,55/660,668/495

Given numbers are 11/560,55/660,668/495

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 11,55,668

Least Common Multiple of Numerators i.e. LCM of 11,55,668 is 36740.

GCF of Denominators means GCF of 560,660,495 as per the given fractions.

GCF of 560,660,495 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 11,55,668

LCM of Fractions 11/560,55/660,668/495 is 7348

11 11, 55, 668
1, 5, 668

∴ So the LCM of the given numbers is 11 x 1 x 5 x 668 = 36740

Least Common Multiple of 11,55,668 with GCF Formula

Least Common Multiple of 11,55,668 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 11,55,668 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(11,55,668) = 1

common factors(in case of two or more numbers have common factors) = 11

GCF(11,55,668) x common factors =1 x 11 = 11

LCM(11,55,668) = ( 11 × 55 × 668 ) / 11

LCM(11,55,668) = 404140 / 11

LCM(11,55,668) = 36740


Lets's calculate GCF of 560,660,495

5 560, 660, 495
112, 132, 99

∴ So the GCF of the given numbers is 5 = 5

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 36740/5

Therefore the LCM of Fractions 11/560,55/660,668/495 is 7348

Greatest Common Factor of 560,660,495 By Matching Biggest Common Factor Method

Greatest Common Factor of 560,660,495 By Matching Biggest Common Factor Method

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

Factors of 660

List of positive integer factors of 660 that divides 660 without a remainder.

1,2,3,4,5,6,10,11,12,15,20,22,30,33,44,55,60,66,110,132,165,220,330,660

Factors of 495

List of positive integer factors of 495 that divides 495 without a remainder.

1,3,5,9,11,15,33,45,55,99,165,495

Greatest Common Factor

We found the factors 560,660,495 . The biggest common factor number is the GCF number.
So the greatest common factor 560,660,495 is 5.


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 11/560, 55/660, 668/495

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 11/560, 55/660, 668/495?

Answer: LCM of Numerators as per given numbers 11/560, 55/660, 668/495 is

LCM of Numerators i.e. for 11,55,668 is 36740

GCF of denominators i.e. for 560,660,495 is 5.

Thus, LCM of Fractions is 7348.Finally, LCM of Fractions for 11/560, 55/660, 668/495 is 7348.