Least Common Multiple of 522/84, 304/15, 610/726

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 522/84, 304/15, 610/726 quickly i.e. 8066640 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 522/84, 304/15, 610/726 is 8066640.

LCM(522/84, 304/15, 610/726) = 8066640

LCM of 522/84, 304/15, 610/726

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 522/84,304/15,610/726

Given numbers are 522/84,304/15,610/726

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 522,304,610

Least Common Multiple of Numerators i.e. LCM of 522,304,610 is 24199920.

GCF of Denominators means GCF of 84,15,726 as per the given fractions.

GCF of 84,15,726 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 522,304,610

LCM of Fractions 522/84,304/15,610/726 is 8066640

2 522, 304, 610
261, 152, 305

∴ So the LCM of the given numbers is 2 x 261 x 152 x 305 = 24199920

Least Common Multiple of 522,304,610 with GCF Formula

Least Common Multiple of 522,304,610 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 522,304,610 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(522,304,610) = 2

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

GCF(522,304,610) x common factors =2 x 2 = 4

LCM(522,304,610) = ( 522 × 304 × 610 ) / 4

LCM(522,304,610) = 96799680 / 4

LCM(522,304,610) = 24199920


Lets's calculate GCF of 84,15,726

3 84, 15, 726
28, 5, 242

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 24199920/3

Therefore the LCM of Fractions 522/84,304/15,610/726 is 8066640

Greatest Common Factor of 84,15,726 By Matching Biggest Common Factor Method

Greatest Common Factor of 84,15,726 By Matching Biggest Common Factor Method

Factors of 84

List of positive integer factors of 84 that divides 84 without a remainder.

1,2,3,4,6,7,12,14,21,28,42,84

Factors of 15

List of positive integer factors of 15 that divides 15 without a remainder.

1,3,5,15

Factors of 726

List of positive integer factors of 726 that divides 726 without a remainder.

1,2,3,6,11,22,33,66,121,242,363,726

Greatest Common Factor

We found the factors 84,15,726 . The biggest common factor number is the GCF number.
So the greatest common factor 84,15,726 is 3.


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 522/84, 304/15, 610/726

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 522/84, 304/15, 610/726?

Answer: LCM of Numerators as per given numbers 522/84, 304/15, 610/726 is

LCM of Numerators i.e. for 522,304,610 is 24199920

GCF of denominators i.e. for 84,15,726 is 3.

Thus, LCM of Fractions is 8066640.Finally, LCM of Fractions for 522/84, 304/15, 610/726 is 8066640.