Least Common Multiple of 34/510, 56/304, 139/225

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 34/510, 56/304, 139/225 quickly i.e. 132328 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 34/510, 56/304, 139/225 is 132328.

LCM(34/510, 56/304, 139/225) = 132328

LCM of 34/510, 56/304, 139/225

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 34/510,56/304,139/225

Given numbers are 34/510,56/304,139/225

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 34,56,139

Least Common Multiple of Numerators i.e. LCM of 34,56,139 is 132328.

GCF of Denominators means GCF of 510,304,225 as per the given fractions.

GCF of 510,304,225 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 34,56,139

LCM of Fractions 34/510,56/304,139/225 is 132328

2 34, 56, 139
17, 28, 139

∴ So the LCM of the given numbers is 2 x 17 x 28 x 139 = 132328

Least Common Multiple of 34,56,139 with GCF Formula

Least Common Multiple of 34,56,139 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 34,56,139 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(34,56,139) = 1

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

GCF(34,56,139) x common factors =1 x 2 = 2

LCM(34,56,139) = ( 34 × 56 × 139 ) / 2

LCM(34,56,139) = 264656 / 2

LCM(34,56,139) = 132328


Lets's calculate GCF of 510,304,225

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 132328/1

Therefore the LCM of Fractions 34/510,56/304,139/225 is 132328

Greatest Common Factor of 510,304,225 By Matching Biggest Common Factor Method

Greatest Common Factor of 510,304,225 By Matching Biggest Common Factor Method

Factors of 510

List of positive integer factors of 510 that divides 510 without a remainder.

1,2,3,5,6,10,15,17,30,34,51,85,102,170,255,510

Factors of 304

List of positive integer factors of 304 that divides 304 without a remainder.

1,2,4,8,16,19,38,76,152,304

Factors of 225

List of positive integer factors of 225 that divides 225 without a remainder.

1,3,5,9,15,25,45,75,225

Greatest Common Factor

We found the factors 510,304,225 . The biggest common factor number is the GCF number.
So the greatest common factor 510,304,225 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 34/510, 56/304, 139/225

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 34/510, 56/304, 139/225?

Answer: LCM of Numerators as per given numbers 34/510, 56/304, 139/225 is

LCM of Numerators i.e. for 34,56,139 is 132328

GCF of denominators i.e. for 510,304,225 is 1.

Thus, LCM of Fractions is 132328.Finally, LCM of Fractions for 34/510, 56/304, 139/225 is 132328.