Least Common Multiple of 64/39, 48/89, 67/14, 30/114

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 64/39, 48/89, 67/14, 30/114 quickly i.e. 64320 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 64/39, 48/89, 67/14, 30/114 is 64320.

LCM(64/39, 48/89, 67/14, 30/114) = 64320

LCM of 64/39, 48/89, 67/14, 30/114

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 64/39,48/89,67/14,30/114

Given numbers are 64/39,48/89,67/14,30/114

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 64,48,67,30

Least Common Multiple of Numerators i.e. LCM of 64,48,67,30 is 64320.

GCF of Denominators means GCF of 39,89,14,114 as per the given fractions.

GCF of 39,89,14,114 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 64,48,67,30

LCM of Fractions 64/39,48/89,67/14,30/114 is 64320

2 64, 48, 67, 30
2 32, 24, 67, 15
2 16, 12, 67, 15
2 8, 6, 67, 15
3 4, 3, 67, 15
4, 1, 67, 5

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 3 x 4 x 1 x 67 x 5 = 64320

Least Common Multiple of 64,48,67,30 with GCF Formula

Least Common Multiple of 64,48,67,30 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 64,48,67,30 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(64,48,67,30) = 1

common factors(in case of two or more numbers have common factors) = 96

GCF(64,48,67,30) x common factors =1 x 96 = 96

LCM(64,48,67,30) = ( 64 × 48 × 67 × 30 ) / 96

LCM(64,48,67,30) = 6174720 / 96

LCM(64,48,67,30) = 64320


Lets's calculate GCF of 39,89,14,114

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 64320/1

Therefore the LCM of Fractions 64/39,48/89,67/14,30/114 is 64320

Greatest Common Factor of 39,89,14,114 By Matching Biggest Common Factor Method

Greatest Common Factor of 39,89,14,114 By Matching Biggest Common Factor Method

Factors of 39

List of positive integer factors of 39 that divides 39 without a remainder.

1,3,13,39

Factors of 89

List of positive integer factors of 89 that divides 89 without a remainder.

1,89

Factors of 14

List of positive integer factors of 14 that divides 14 without a remainder.

1,2,7,14

Factors of 114

List of positive integer factors of 114 that divides 114 without a remainder.

1,2,3,6,19,38,57,114

Greatest Common Factor

We found the factors 39,89,14,114 . The biggest common factor number is the GCF number.
So the greatest common factor 39,89,14,114 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 64/39, 48/89, 67/14, 30/114

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 64/39, 48/89, 67/14, 30/114?

Answer: LCM of Numerators as per given numbers 64/39, 48/89, 67/14, 30/114 is

LCM of Numerators i.e. for 64,48,67,30 is 64320

GCF of denominators i.e. for 39,89,14,114 is 1.

Thus, LCM of Fractions is 64320.Finally, LCM of Fractions for 64/39, 48/89, 67/14, 30/114 is 64320.