Least Common Multiple of 468/60, 578/88, 520/561

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 468/60, 578/88, 520/561 quickly i.e. 1352520 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 468/60, 578/88, 520/561 is 1352520.

LCM(468/60, 578/88, 520/561) = 1352520

LCM of 468/60, 578/88, 520/561

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 468/60,578/88,520/561

Given numbers are 468/60,578/88,520/561

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 468,578,520

Least Common Multiple of Numerators i.e. LCM of 468,578,520 is 1352520.

GCF of Denominators means GCF of 60,88,561 as per the given fractions.

GCF of 60,88,561 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 468,578,520

LCM of Fractions 468/60,578/88,520/561 is 1352520

2 468, 578, 520
2 234, 289, 260
13 117, 289, 130
9, 289, 10

∴ So the LCM of the given numbers is 2 x 2 x 13 x 9 x 289 x 10 = 1352520

Least Common Multiple of 468,578,520 with GCF Formula

Least Common Multiple of 468,578,520 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 468,578,520 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(468,578,520) = 2

common factors(in case of two or more numbers have common factors) = 52

GCF(468,578,520) x common factors =2 x 52 = 104

LCM(468,578,520) = ( 468 × 578 × 520 ) / 104

LCM(468,578,520) = 140662080 / 104

LCM(468,578,520) = 1352520


Lets's calculate GCF of 60,88,561

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1352520/1

Therefore the LCM of Fractions 468/60,578/88,520/561 is 1352520

Greatest Common Factor of 60,88,561 By Matching Biggest Common Factor Method

Greatest Common Factor of 60,88,561 By Matching Biggest Common Factor Method

Factors of 60

List of positive integer factors of 60 that divides 60 without a remainder.

1,2,3,4,5,6,10,12,15,20,30,60

Factors of 88

List of positive integer factors of 88 that divides 88 without a remainder.

1,2,4,8,11,22,44,88

Factors of 561

List of positive integer factors of 561 that divides 561 without a remainder.

1,3,11,17,33,51,187,561

Greatest Common Factor

We found the factors 60,88,561 . The biggest common factor number is the GCF number.
So the greatest common factor 60,88,561 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 468/60, 578/88, 520/561

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 468/60, 578/88, 520/561?

Answer: LCM of Numerators as per given numbers 468/60, 578/88, 520/561 is

LCM of Numerators i.e. for 468,578,520 is 1352520

GCF of denominators i.e. for 60,88,561 is 1.

Thus, LCM of Fractions is 1352520.Finally, LCM of Fractions for 468/60, 578/88, 520/561 is 1352520.