Least Common Multiple of 68/474, 71/118, 455/580

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 68/474, 71/118, 455/580 quickly i.e. 1098370 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 68/474, 71/118, 455/580 is 1098370.

LCM(68/474, 71/118, 455/580) = 1098370

LCM of 68/474, 71/118, 455/580

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 68/474,71/118,455/580

Given numbers are 68/474,71/118,455/580

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 68,71,455

Least Common Multiple of Numerators i.e. LCM of 68,71,455 is 2196740.

GCF of Denominators means GCF of 474,118,580 as per the given fractions.

GCF of 474,118,580 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 68,71,455

LCM of Fractions 68/474,71/118,455/580 is 1098370

Given numbers has no common factors except 1. So, there LCM is their product i.e 2196740

Least Common Multiple of 68,71,455 with GCF Formula

Least Common Multiple of 68,71,455 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 68,71,455 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(68,71,455) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(68,71,455) x common factors =1 x 1 = 1

LCM(68,71,455) = ( 68 × 71 × 455 ) / 1

LCM(68,71,455) = 2196740 / 1

LCM(68,71,455) = 2196740


Lets's calculate GCF of 474,118,580

2 474, 118, 580
237, 59, 290

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2196740/2

Therefore the LCM of Fractions 68/474,71/118,455/580 is 1098370

Greatest Common Factor of 474,118,580 By Matching Biggest Common Factor Method

Greatest Common Factor of 474,118,580 By Matching Biggest Common Factor Method

Factors of 474

List of positive integer factors of 474 that divides 474 without a remainder.

1,2,3,6,79,158,237,474

Factors of 118

List of positive integer factors of 118 that divides 118 without a remainder.

1,2,59,118

Factors of 580

List of positive integer factors of 580 that divides 580 without a remainder.

1,2,4,5,10,20,29,58,116,145,290,580

Greatest Common Factor

We found the factors 474,118,580 . The biggest common factor number is the GCF number.
So the greatest common factor 474,118,580 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 68/474, 71/118, 455/580

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 68/474, 71/118, 455/580?

Answer: LCM of Numerators as per given numbers 68/474, 71/118, 455/580 is

LCM of Numerators i.e. for 68,71,455 is 2196740

GCF of denominators i.e. for 474,118,580 is 2.

Thus, LCM of Fractions is 1098370.Finally, LCM of Fractions for 68/474, 71/118, 455/580 is 1098370.