Least Common Multiple of 524/868, 671/505, 774/515

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 524/868, 671/505, 774/515 quickly i.e. 136070748 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 524/868, 671/505, 774/515 is 136070748.

LCM(524/868, 671/505, 774/515) = 136070748

LCM of 524/868, 671/505, 774/515

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 524/868,671/505,774/515

Given numbers are 524/868,671/505,774/515

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 524,671,774

Least Common Multiple of Numerators i.e. LCM of 524,671,774 is 136070748.

GCF of Denominators means GCF of 868,505,515 as per the given fractions.

GCF of 868,505,515 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 524,671,774

LCM of Fractions 524/868,671/505,774/515 is 136070748

2 524, 671, 774
262, 671, 387

∴ So the LCM of the given numbers is 2 x 262 x 671 x 387 = 136070748

Least Common Multiple of 524,671,774 with GCF Formula

Least Common Multiple of 524,671,774 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 524,671,774 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(524,671,774) = 1

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

GCF(524,671,774) x common factors =1 x 2 = 2

LCM(524,671,774) = ( 524 × 671 × 774 ) / 2

LCM(524,671,774) = 272141496 / 2

LCM(524,671,774) = 136070748


Lets's calculate GCF of 868,505,515

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 136070748/1

Therefore the LCM of Fractions 524/868,671/505,774/515 is 136070748

Greatest Common Factor of 868,505,515 By Matching Biggest Common Factor Method

Greatest Common Factor of 868,505,515 By Matching Biggest Common Factor Method

Factors of 868

List of positive integer factors of 868 that divides 868 without a remainder.

1,2,4,7,14,28,31,62,124,217,434,868

Factors of 505

List of positive integer factors of 505 that divides 505 without a remainder.

1,5,101,505

Factors of 515

List of positive integer factors of 515 that divides 515 without a remainder.

1,5,103,515

Greatest Common Factor

We found the factors 868,505,515 . The biggest common factor number is the GCF number.
So the greatest common factor 868,505,515 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 524/868, 671/505, 774/515

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 524/868, 671/505, 774/515?

Answer: LCM of Numerators as per given numbers 524/868, 671/505, 774/515 is

LCM of Numerators i.e. for 524,671,774 is 136070748

GCF of denominators i.e. for 868,505,515 is 1.

Thus, LCM of Fractions is 136070748.Finally, LCM of Fractions for 524/868, 671/505, 774/515 is 136070748.