Least Common Multiple of 11/473, 28/615, 220/120

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 11/473, 28/615, 220/120 quickly i.e. 1540 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 11/473, 28/615, 220/120 is 1540.

LCM(11/473, 28/615, 220/120) = 1540

LCM of 11/473, 28/615, 220/120

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 11/473,28/615,220/120

Given numbers are 11/473,28/615,220/120

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 11,28,220

Least Common Multiple of Numerators i.e. LCM of 11,28,220 is 1540.

GCF of Denominators means GCF of 473,615,120 as per the given fractions.

GCF of 473,615,120 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 11,28,220

LCM of Fractions 11/473,28/615,220/120 is 1540

2 11, 28, 220
2 11, 14, 110
11 11, 7, 55
1, 7, 5

∴ So the LCM of the given numbers is 2 x 2 x 11 x 1 x 7 x 5 = 1540

Least Common Multiple of 11,28,220 with GCF Formula

Least Common Multiple of 11,28,220 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 11,28,220 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(11,28,220) = 1

common factors(in case of two or more numbers have common factors) = 44

GCF(11,28,220) x common factors =1 x 44 = 44

LCM(11,28,220) = ( 11 × 28 × 220 ) / 44

LCM(11,28,220) = 67760 / 44

LCM(11,28,220) = 1540


Lets's calculate GCF of 473,615,120

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1540/1

Therefore the LCM of Fractions 11/473,28/615,220/120 is 1540

Greatest Common Factor of 473,615,120 By Matching Biggest Common Factor Method

Greatest Common Factor of 473,615,120 By Matching Biggest Common Factor Method

Factors of 473

List of positive integer factors of 473 that divides 473 without a remainder.

1,11,43,473

Factors of 615

List of positive integer factors of 615 that divides 615 without a remainder.

1,3,5,15,41,123,205,615

Factors of 120

List of positive integer factors of 120 that divides 120 without a remainder.

1,2,3,4,5,6,8,10,12,15,20,24,30,40,60,120

Greatest Common Factor

We found the factors 473,615,120 . The biggest common factor number is the GCF number.
So the greatest common factor 473,615,120 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 11/473, 28/615, 220/120

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 11/473, 28/615, 220/120?

Answer: LCM of Numerators as per given numbers 11/473, 28/615, 220/120 is

LCM of Numerators i.e. for 11,28,220 is 1540

GCF of denominators i.e. for 473,615,120 is 1.

Thus, LCM of Fractions is 1540.Finally, LCM of Fractions for 11/473, 28/615, 220/120 is 1540.