Least Common Multiple of 487/550, 444/245, 116/716

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 487/550, 444/245, 116/716 quickly i.e. 6270612 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 487/550, 444/245, 116/716 is 6270612.

LCM(487/550, 444/245, 116/716) = 6270612

LCM of 487/550, 444/245, 116/716

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 487/550,444/245,116/716

Given numbers are 487/550,444/245,116/716

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 487,444,116

Least Common Multiple of Numerators i.e. LCM of 487,444,116 is 6270612.

GCF of Denominators means GCF of 550,245,716 as per the given fractions.

GCF of 550,245,716 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 487,444,116

LCM of Fractions 487/550,444/245,116/716 is 6270612

2 487, 444, 116
2 487, 222, 58
487, 111, 29

∴ So the LCM of the given numbers is 2 x 2 x 487 x 111 x 29 = 6270612

Least Common Multiple of 487,444,116 with GCF Formula

Least Common Multiple of 487,444,116 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 487,444,116 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(487,444,116) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(487,444,116) x common factors =1 x 4 = 4

LCM(487,444,116) = ( 487 × 444 × 116 ) / 4

LCM(487,444,116) = 25082448 / 4

LCM(487,444,116) = 6270612


Lets's calculate GCF of 550,245,716

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6270612/1

Therefore the LCM of Fractions 487/550,444/245,116/716 is 6270612

Greatest Common Factor of 550,245,716 By Matching Biggest Common Factor Method

Greatest Common Factor of 550,245,716 By Matching Biggest Common Factor Method

Factors of 550

List of positive integer factors of 550 that divides 550 without a remainder.

1,2,5,10,11,22,25,50,55,110,275,550

Factors of 245

List of positive integer factors of 245 that divides 245 without a remainder.

1,5,7,35,49,245

Factors of 716

List of positive integer factors of 716 that divides 716 without a remainder.

1,2,4,179,358,716

Greatest Common Factor

We found the factors 550,245,716 . The biggest common factor number is the GCF number.
So the greatest common factor 550,245,716 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 487/550, 444/245, 116/716

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 487/550, 444/245, 116/716?

Answer: LCM of Numerators as per given numbers 487/550, 444/245, 116/716 is

LCM of Numerators i.e. for 487,444,116 is 6270612

GCF of denominators i.e. for 550,245,716 is 1.

Thus, LCM of Fractions is 6270612.Finally, LCM of Fractions for 487/550, 444/245, 116/716 is 6270612.