Least Common Multiple of 520/253, 130/146, 929/706

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 520/253, 130/146, 929/706 quickly i.e. 483080 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 520/253, 130/146, 929/706 is 483080.

LCM(520/253, 130/146, 929/706) = 483080

LCM of 520/253, 130/146, 929/706

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 520/253,130/146,929/706

Given numbers are 520/253,130/146,929/706

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 520,130,929

Least Common Multiple of Numerators i.e. LCM of 520,130,929 is 483080.

GCF of Denominators means GCF of 253,146,706 as per the given fractions.

GCF of 253,146,706 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 520,130,929

LCM of Fractions 520/253,130/146,929/706 is 483080

2 520, 130, 929
5 260, 65, 929
13 52, 13, 929
4, 1, 929

∴ So the LCM of the given numbers is 2 x 5 x 13 x 4 x 1 x 929 = 483080

Least Common Multiple of 520,130,929 with GCF Formula

Least Common Multiple of 520,130,929 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 520,130,929 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(520,130,929) = 1

common factors(in case of two or more numbers have common factors) = 130

GCF(520,130,929) x common factors =1 x 130 = 130

LCM(520,130,929) = ( 520 × 130 × 929 ) / 130

LCM(520,130,929) = 62800400 / 130

LCM(520,130,929) = 483080


Lets's calculate GCF of 253,146,706

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 483080/1

Therefore the LCM of Fractions 520/253,130/146,929/706 is 483080

Greatest Common Factor of 253,146,706 By Matching Biggest Common Factor Method

Greatest Common Factor of 253,146,706 By Matching Biggest Common Factor Method

Factors of 253

List of positive integer factors of 253 that divides 253 without a remainder.

1,11,23,253

Factors of 146

List of positive integer factors of 146 that divides 146 without a remainder.

1,2,73,146

Factors of 706

List of positive integer factors of 706 that divides 706 without a remainder.

1,2,353,706

Greatest Common Factor

We found the factors 253,146,706 . The biggest common factor number is the GCF number.
So the greatest common factor 253,146,706 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 520/253, 130/146, 929/706

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 520/253, 130/146, 929/706?

Answer: LCM of Numerators as per given numbers 520/253, 130/146, 929/706 is

LCM of Numerators i.e. for 520,130,929 is 483080

GCF of denominators i.e. for 253,146,706 is 1.

Thus, LCM of Fractions is 483080.Finally, LCM of Fractions for 520/253, 130/146, 929/706 is 483080.