Least Common Multiple of 47/164, 536/360, 490/440

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 47/164, 536/360, 490/440 quickly i.e. 1543010 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 47/164, 536/360, 490/440 is 1543010.

LCM(47/164, 536/360, 490/440) = 1543010

LCM of 47/164, 536/360, 490/440

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 47/164,536/360,490/440

Given numbers are 47/164,536/360,490/440

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 47,536,490

Least Common Multiple of Numerators i.e. LCM of 47,536,490 is 6172040.

GCF of Denominators means GCF of 164,360,440 as per the given fractions.

GCF of 164,360,440 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 47,536,490

LCM of Fractions 47/164,536/360,490/440 is 1543010

2 47, 536, 490
47, 268, 245

∴ So the LCM of the given numbers is 2 x 47 x 268 x 245 = 6172040

Least Common Multiple of 47,536,490 with GCF Formula

Least Common Multiple of 47,536,490 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 47,536,490 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(47,536,490) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(47,536,490) x common factors =1 x 2 = 2

LCM(47,536,490) = ( 47 × 536 × 490 ) / 2

LCM(47,536,490) = 12344080 / 2

LCM(47,536,490) = 6172040


Lets's calculate GCF of 164,360,440

2 164, 360, 440
2 82, 180, 220
41, 90, 110

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6172040/4

Therefore the LCM of Fractions 47/164,536/360,490/440 is 1543010

Greatest Common Factor of 164,360,440 By Matching Biggest Common Factor Method

Greatest Common Factor of 164,360,440 By Matching Biggest Common Factor Method

Factors of 164

List of positive integer factors of 164 that divides 164 without a remainder.

1,2,4,41,82,164

Factors of 360

List of positive integer factors of 360 that divides 360 without a remainder.

1,2,3,4,5,6,8,9,10,12,15,18,20,24,30,36,40,45,60,72,90,120,180,360

Factors of 440

List of positive integer factors of 440 that divides 440 without a remainder.

1,2,4,5,8,10,11,20,22,40,44,55,88,110,220,440

Greatest Common Factor

We found the factors 164,360,440 . The biggest common factor number is the GCF number.
So the greatest common factor 164,360,440 is 4.


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 47/164, 536/360, 490/440

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 47/164, 536/360, 490/440?

Answer: LCM of Numerators as per given numbers 47/164, 536/360, 490/440 is

LCM of Numerators i.e. for 47,536,490 is 6172040

GCF of denominators i.e. for 164,360,440 is 4.

Thus, LCM of Fractions is 1543010.Finally, LCM of Fractions for 47/164, 536/360, 490/440 is 1543010.