Least Common Multiple of 328/310, 840/440, 340/163

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 328/310, 840/440, 340/163 quickly i.e. 585480 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 328/310, 840/440, 340/163 is 585480.

LCM(328/310, 840/440, 340/163) = 585480

LCM of 328/310, 840/440, 340/163

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 328/310,840/440,340/163

Given numbers are 328/310,840/440,340/163

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 328,840,340

Least Common Multiple of Numerators i.e. LCM of 328,840,340 is 585480.

GCF of Denominators means GCF of 310,440,163 as per the given fractions.

GCF of 310,440,163 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 328,840,340

LCM of Fractions 328/310,840/440,340/163 is 585480

2 328, 840, 340
2 164, 420, 170
2 82, 210, 85
5 41, 105, 85
41, 21, 17

∴ So the LCM of the given numbers is 2 x 2 x 2 x 5 x 41 x 21 x 17 = 585480

Least Common Multiple of 328,840,340 with GCF Formula

Least Common Multiple of 328,840,340 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 328,840,340 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(328,840,340) = 4

common factors(in case of two or more numbers have common factors) = 40

GCF(328,840,340) x common factors =4 x 40 = 160

LCM(328,840,340) = ( 328 × 840 × 340 ) / 160

LCM(328,840,340) = 93676800 / 160

LCM(328,840,340) = 585480


Lets's calculate GCF of 310,440,163

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 585480/1

Therefore the LCM of Fractions 328/310,840/440,340/163 is 585480

Greatest Common Factor of 310,440,163 By Matching Biggest Common Factor Method

Greatest Common Factor of 310,440,163 By Matching Biggest Common Factor Method

Factors of 310

List of positive integer factors of 310 that divides 310 without a remainder.

1,2,5,10,31,62,155,310

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

Factors of 163

List of positive integer factors of 163 that divides 163 without a remainder.

1,163

Greatest Common Factor

We found the factors 310,440,163 . The biggest common factor number is the GCF number.
So the greatest common factor 310,440,163 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 328/310, 840/440, 340/163

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 328/310, 840/440, 340/163?

Answer: LCM of Numerators as per given numbers 328/310, 840/440, 340/163 is

LCM of Numerators i.e. for 328,840,340 is 585480

GCF of denominators i.e. for 310,440,163 is 1.

Thus, LCM of Fractions is 585480.Finally, LCM of Fractions for 328/310, 840/440, 340/163 is 585480.