Least Common Multiple of 66/928, 170/150, 443/470

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 66/928, 170/150, 443/470 quickly i.e. 1242615 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 66/928, 170/150, 443/470 is 1242615.

LCM(66/928, 170/150, 443/470) = 1242615

LCM of 66/928, 170/150, 443/470

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 66/928,170/150,443/470

Given numbers are 66/928,170/150,443/470

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 66,170,443

Least Common Multiple of Numerators i.e. LCM of 66,170,443 is 2485230.

GCF of Denominators means GCF of 928,150,470 as per the given fractions.

GCF of 928,150,470 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 66,170,443

LCM of Fractions 66/928,170/150,443/470 is 1242615

2 66, 170, 443
33, 85, 443

∴ So the LCM of the given numbers is 2 x 33 x 85 x 443 = 2485230

Least Common Multiple of 66,170,443 with GCF Formula

Least Common Multiple of 66,170,443 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 66,170,443 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(66,170,443) = 1

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

GCF(66,170,443) x common factors =1 x 2 = 2

LCM(66,170,443) = ( 66 × 170 × 443 ) / 2

LCM(66,170,443) = 4970460 / 2

LCM(66,170,443) = 2485230


Lets's calculate GCF of 928,150,470

2 928, 150, 470
464, 75, 235

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2485230/2

Therefore the LCM of Fractions 66/928,170/150,443/470 is 1242615

Greatest Common Factor of 928,150,470 By Matching Biggest Common Factor Method

Greatest Common Factor of 928,150,470 By Matching Biggest Common Factor Method

Factors of 928

List of positive integer factors of 928 that divides 928 without a remainder.

1,2,4,8,16,29,32,58,116,232,464,928

Factors of 150

List of positive integer factors of 150 that divides 150 without a remainder.

1,2,3,5,6,10,15,25,30,50,75,150

Factors of 470

List of positive integer factors of 470 that divides 470 without a remainder.

1,2,5,10,47,94,235,470

Greatest Common Factor

We found the factors 928,150,470 . The biggest common factor number is the GCF number.
So the greatest common factor 928,150,470 is 2.


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 66/928, 170/150, 443/470

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 66/928, 170/150, 443/470?

Answer: LCM of Numerators as per given numbers 66/928, 170/150, 443/470 is

LCM of Numerators i.e. for 66,170,443 is 2485230

GCF of denominators i.e. for 928,150,470 is 2.

Thus, LCM of Fractions is 1242615.Finally, LCM of Fractions for 66/928, 170/150, 443/470 is 1242615.