Least Common Multiple of 338/10, 360/17, 510/930

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 338/10, 360/17, 510/930 quickly i.e. 1034280 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 338/10, 360/17, 510/930 is 1034280.

LCM(338/10, 360/17, 510/930) = 1034280

LCM of 338/10, 360/17, 510/930

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 338/10,360/17,510/930

Given numbers are 338/10,360/17,510/930

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 338,360,510

Least Common Multiple of Numerators i.e. LCM of 338,360,510 is 1034280.

GCF of Denominators means GCF of 10,17,930 as per the given fractions.

GCF of 10,17,930 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 338,360,510

LCM of Fractions 338/10,360/17,510/930 is 1034280

2 338, 360, 510
3 169, 180, 255
5 169, 60, 85
169, 12, 17

∴ So the LCM of the given numbers is 2 x 3 x 5 x 169 x 12 x 17 = 1034280

Least Common Multiple of 338,360,510 with GCF Formula

Least Common Multiple of 338,360,510 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 338,360,510 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(338,360,510) = 2

common factors(in case of two or more numbers have common factors) = 30

GCF(338,360,510) x common factors =2 x 30 = 60

LCM(338,360,510) = ( 338 × 360 × 510 ) / 60

LCM(338,360,510) = 62056800 / 60

LCM(338,360,510) = 1034280


Lets's calculate GCF of 10,17,930

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1034280/1

Therefore the LCM of Fractions 338/10,360/17,510/930 is 1034280

Greatest Common Factor of 10,17,930 By Matching Biggest Common Factor Method

Greatest Common Factor of 10,17,930 By Matching Biggest Common Factor Method

Factors of 10

List of positive integer factors of 10 that divides 10 without a remainder.

1,2,5,10

Factors of 17

List of positive integer factors of 17 that divides 17 without a remainder.

1,17

Factors of 930

List of positive integer factors of 930 that divides 930 without a remainder.

1,2,3,5,6,10,15,30,31,62,93,155,186,310,465,930

Greatest Common Factor

We found the factors 10,17,930 . The biggest common factor number is the GCF number.
So the greatest common factor 10,17,930 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 338/10, 360/17, 510/930

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 338/10, 360/17, 510/930?

Answer: LCM of Numerators as per given numbers 338/10, 360/17, 510/930 is

LCM of Numerators i.e. for 338,360,510 is 1034280

GCF of denominators i.e. for 10,17,930 is 1.

Thus, LCM of Fractions is 1034280.Finally, LCM of Fractions for 338/10, 360/17, 510/930 is 1034280.