Least Common Multiple of 61/727, 448/211, 517/564

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 61/727, 448/211, 517/564 quickly i.e. 14128576 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 61/727, 448/211, 517/564 is 14128576.

LCM(61/727, 448/211, 517/564) = 14128576

LCM of 61/727, 448/211, 517/564

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 61/727,448/211,517/564

Given numbers are 61/727,448/211,517/564

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 61,448,517

Least Common Multiple of Numerators i.e. LCM of 61,448,517 is 14128576.

GCF of Denominators means GCF of 727,211,564 as per the given fractions.

GCF of 727,211,564 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 61,448,517

LCM of Fractions 61/727,448/211,517/564 is 14128576

Given numbers has no common factors except 1. So, there LCM is their product i.e 14128576

Least Common Multiple of 61,448,517 with GCF Formula

Least Common Multiple of 61,448,517 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 61,448,517 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(61,448,517) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(61,448,517) x common factors =1 x 1 = 1

LCM(61,448,517) = ( 61 × 448 × 517 ) / 1

LCM(61,448,517) = 14128576 / 1

LCM(61,448,517) = 14128576


Lets's calculate GCF of 727,211,564

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 14128576/1

Therefore the LCM of Fractions 61/727,448/211,517/564 is 14128576

Greatest Common Factor of 727,211,564 By Matching Biggest Common Factor Method

Greatest Common Factor of 727,211,564 By Matching Biggest Common Factor Method

Factors of 727

List of positive integer factors of 727 that divides 727 without a remainder.

1,727

Factors of 211

List of positive integer factors of 211 that divides 211 without a remainder.

1,211

Factors of 564

List of positive integer factors of 564 that divides 564 without a remainder.

1,2,3,4,6,12,47,94,141,188,282,564

Greatest Common Factor

We found the factors 727,211,564 . The biggest common factor number is the GCF number.
So the greatest common factor 727,211,564 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 61/727, 448/211, 517/564

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 61/727, 448/211, 517/564?

Answer: LCM of Numerators as per given numbers 61/727, 448/211, 517/564 is

LCM of Numerators i.e. for 61,448,517 is 14128576

GCF of denominators i.e. for 727,211,564 is 1.

Thus, LCM of Fractions is 14128576.Finally, LCM of Fractions for 61/727, 448/211, 517/564 is 14128576.