Least Common Multiple of 1/65, 5/60, 55/18, 19/679

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 1/65, 5/60, 55/18, 19/679 quickly i.e. 1045 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1/65, 5/60, 55/18, 19/679 is 1045.

LCM(1/65, 5/60, 55/18, 19/679) = 1045

LCM of 1/65, 5/60, 55/18, 19/679

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 1/65,5/60,55/18,19/679

Given numbers are 1/65,5/60,55/18,19/679

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 1,5,55,19

Least Common Multiple of Numerators i.e. LCM of 1,5,55,19 is 1045.

GCF of Denominators means GCF of 65,60,18,679 as per the given fractions.

GCF of 65,60,18,679 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1,5,55,19

LCM of Fractions 1/65,5/60,55/18,19/679 is 1045

5 1, 5, 55, 19
1, 1, 11, 19

∴ So the LCM of the given numbers is 5 x 1 x 1 x 11 x 19 = 1045

Least Common Multiple of 1,5,55,19 with GCF Formula

Least Common Multiple of 1,5,55,19 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 1,5,55,19 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1,5,55,19) = 1

common factors(in case of two or more numbers have common factors) = 5

GCF(1,5,55,19) x common factors =1 x 5 = 5

LCM(1,5,55,19) = ( 1 × 5 × 55 × 19 ) / 5

LCM(1,5,55,19) = 5225 / 5

LCM(1,5,55,19) = 1045


Lets's calculate GCF of 65,60,18,679

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1045/1

Therefore the LCM of Fractions 1/65,5/60,55/18,19/679 is 1045

Greatest Common Factor of 65,60,18,679 By Matching Biggest Common Factor Method

Greatest Common Factor of 65,60,18,679 By Matching Biggest Common Factor Method

Factors of 65

List of positive integer factors of 65 that divides 65 without a remainder.

1,5,13,65

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 18

List of positive integer factors of 18 that divides 18 without a remainder.

1,2,3,6,9,18

Factors of 679

List of positive integer factors of 679 that divides 679 without a remainder.

1,7,97,679

Greatest Common Factor

We found the factors 65,60,18,679 . The biggest common factor number is the GCF number.
So the greatest common factor 65,60,18,679 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 1/65, 5/60, 55/18, 19/679

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 1/65, 5/60, 55/18, 19/679?

Answer: LCM of Numerators as per given numbers 1/65, 5/60, 55/18, 19/679 is

LCM of Numerators i.e. for 1,5,55,19 is 1045

GCF of denominators i.e. for 65,60,18,679 is 1.

Thus, LCM of Fractions is 1045.Finally, LCM of Fractions for 1/65, 5/60, 55/18, 19/679 is 1045.