Least Common Multiple of 7/64, 15/568, 61/120

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 7/64, 15/568, 61/120 quickly i.e. 6405/8 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7/64, 15/568, 61/120 is 6405/8.

LCM(7/64, 15/568, 61/120) = 6405/8

LCM of 7/64, 15/568, 61/120

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 7/64,15/568,61/120

Given numbers are 7/64,15/568,61/120

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 7,15,61

Least Common Multiple of Numerators i.e. LCM of 7,15,61 is 6405.

GCF of Denominators means GCF of 64,568,120 as per the given fractions.

GCF of 64,568,120 is 8 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7,15,61

LCM of Fractions 7/64,15/568,61/120 is 6405/8

Given numbers has no common factors except 1. So, there LCM is their product i.e 6405

Least Common Multiple of 7,15,61 with GCF Formula

Least Common Multiple of 7,15,61 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 7,15,61 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7,15,61) = 1

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

GCF(7,15,61) x common factors =1 x 1 = 1

LCM(7,15,61) = ( 7 × 15 × 61 ) / 1

LCM(7,15,61) = 6405 / 1

LCM(7,15,61) = 6405


Lets's calculate GCF of 64,568,120

2 64, 568, 120
2 32, 284, 60
2 16, 142, 30
8, 71, 15

∴ So the GCF of the given numbers is 2 x 2 x 2 = 8

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6405/8

Therefore the LCM of Fractions 7/64,15/568,61/120 is 6405/8

Greatest Common Factor of 64,568,120 By Matching Biggest Common Factor Method

Greatest Common Factor of 64,568,120 By Matching Biggest Common Factor Method

Factors of 64

List of positive integer factors of 64 that divides 64 without a remainder.

1,2,4,8,16,32,64

Factors of 568

List of positive integer factors of 568 that divides 568 without a remainder.

1,2,4,8,71,142,284,568

Factors of 120

List of positive integer factors of 120 that divides 120 without a remainder.

1,2,3,4,5,6,8,10,12,15,20,24,30,40,60,120

Greatest Common Factor

We found the factors 64,568,120 . The biggest common factor number is the GCF number.
So the greatest common factor 64,568,120 is 8.


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 7/64, 15/568, 61/120

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 7/64, 15/568, 61/120?

Answer: LCM of Numerators as per given numbers 7/64, 15/568, 61/120 is

LCM of Numerators i.e. for 7,15,61 is 6405

GCF of denominators i.e. for 64,568,120 is 8.

Thus, LCM of Fractions is 6405/8.Finally, LCM of Fractions for 7/64, 15/568, 61/120 is 6405/8.