Least Common Multiple of 6/64, 7/78, 62/68, 67/590

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 6/64, 7/78, 62/68, 67/590 quickly i.e. 43617 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 6/64, 7/78, 62/68, 67/590 is 43617.

LCM(6/64, 7/78, 62/68, 67/590) = 43617

LCM of 6/64, 7/78, 62/68, 67/590

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 6/64,7/78,62/68,67/590

Given numbers are 6/64,7/78,62/68,67/590

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 6,7,62,67

Least Common Multiple of Numerators i.e. LCM of 6,7,62,67 is 87234.

GCF of Denominators means GCF of 64,78,68,590 as per the given fractions.

GCF of 64,78,68,590 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6,7,62,67

LCM of Fractions 6/64,7/78,62/68,67/590 is 43617

2 6, 7, 62, 67
3, 7, 31, 67

∴ So the LCM of the given numbers is 2 x 3 x 7 x 31 x 67 = 87234

Least Common Multiple of 6,7,62,67 with GCF Formula

Least Common Multiple of 6,7,62,67 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 6,7,62,67 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6,7,62,67) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(6,7,62,67) x common factors =1 x 2 = 2

LCM(6,7,62,67) = ( 6 × 7 × 62 × 67 ) / 2

LCM(6,7,62,67) = 174468 / 2

LCM(6,7,62,67) = 87234


Lets's calculate GCF of 64,78,68,590

2 64, 78, 68, 590
32, 39, 34, 295

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 87234/2

Therefore the LCM of Fractions 6/64,7/78,62/68,67/590 is 43617

Greatest Common Factor of 64,78,68,590 By Matching Biggest Common Factor Method

Greatest Common Factor of 64,78,68,590 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 78

List of positive integer factors of 78 that divides 78 without a remainder.

1,2,3,6,13,26,39,78

Factors of 68

List of positive integer factors of 68 that divides 68 without a remainder.

1,2,4,17,34,68

Factors of 590

List of positive integer factors of 590 that divides 590 without a remainder.

1,2,5,10,59,118,295,590

Greatest Common Factor

We found the factors 64,78,68,590 . The biggest common factor number is the GCF number.
So the greatest common factor 64,78,68,590 is 2.


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 6/64, 7/78, 62/68, 67/590

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 6/64, 7/78, 62/68, 67/590?

Answer: LCM of Numerators as per given numbers 6/64, 7/78, 62/68, 67/590 is

LCM of Numerators i.e. for 6,7,62,67 is 87234

GCF of denominators i.e. for 64,78,68,590 is 2.

Thus, LCM of Fractions is 43617.Finally, LCM of Fractions for 6/64, 7/78, 62/68, 67/590 is 43617.