Least Common Multiple of 60/550, 14/580, 916/515

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 60/550, 14/580, 916/515 quickly i.e. 19236 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 60/550, 14/580, 916/515 is 19236.

LCM(60/550, 14/580, 916/515) = 19236

LCM of 60/550, 14/580, 916/515

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 60/550,14/580,916/515

Given numbers are 60/550,14/580,916/515

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 60,14,916

Least Common Multiple of Numerators i.e. LCM of 60,14,916 is 96180.

GCF of Denominators means GCF of 550,580,515 as per the given fractions.

GCF of 550,580,515 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 60,14,916

LCM of Fractions 60/550,14/580,916/515 is 19236

2 60, 14, 916
2 30, 7, 458
15, 7, 229

∴ So the LCM of the given numbers is 2 x 2 x 15 x 7 x 229 = 96180

Least Common Multiple of 60,14,916 with GCF Formula

Least Common Multiple of 60,14,916 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 60,14,916 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(60,14,916) = 2

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

GCF(60,14,916) x common factors =2 x 4 = 8

LCM(60,14,916) = ( 60 × 14 × 916 ) / 8

LCM(60,14,916) = 769440 / 8

LCM(60,14,916) = 96180


Lets's calculate GCF of 550,580,515

5 550, 580, 515
110, 116, 103

∴ So the GCF of the given numbers is 5 = 5

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 96180/5

Therefore the LCM of Fractions 60/550,14/580,916/515 is 19236

Greatest Common Factor of 550,580,515 By Matching Biggest Common Factor Method

Greatest Common Factor of 550,580,515 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 580

List of positive integer factors of 580 that divides 580 without a remainder.

1,2,4,5,10,20,29,58,116,145,290,580

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 550,580,515 . The biggest common factor number is the GCF number.
So the greatest common factor 550,580,515 is 5.


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 60/550, 14/580, 916/515

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 60/550, 14/580, 916/515?

Answer: LCM of Numerators as per given numbers 60/550, 14/580, 916/515 is

LCM of Numerators i.e. for 60,14,916 is 96180

GCF of denominators i.e. for 550,580,515 is 5.

Thus, LCM of Fractions is 19236.Finally, LCM of Fractions for 60/550, 14/580, 916/515 is 19236.