Least Common Multiple of 7/81, 67/390, 10/754

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 7/81, 67/390, 10/754 quickly i.e. 4690 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7/81, 67/390, 10/754 is 4690.

LCM(7/81, 67/390, 10/754) = 4690

LCM of 7/81, 67/390, 10/754

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 7/81,67/390,10/754

Given numbers are 7/81,67/390,10/754

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 7,67,10

Least Common Multiple of Numerators i.e. LCM of 7,67,10 is 4690.

GCF of Denominators means GCF of 81,390,754 as per the given fractions.

GCF of 81,390,754 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7,67,10

LCM of Fractions 7/81,67/390,10/754 is 4690

Given numbers has no common factors except 1. So, there LCM is their product i.e 4690

Least Common Multiple of 7,67,10 with GCF Formula

Least Common Multiple of 7,67,10 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 7,67,10 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7,67,10) = 1

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

GCF(7,67,10) x common factors =1 x 1 = 1

LCM(7,67,10) = ( 7 × 67 × 10 ) / 1

LCM(7,67,10) = 4690 / 1

LCM(7,67,10) = 4690


Lets's calculate GCF of 81,390,754

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4690/1

Therefore the LCM of Fractions 7/81,67/390,10/754 is 4690

Greatest Common Factor of 81,390,754 By Matching Biggest Common Factor Method

Greatest Common Factor of 81,390,754 By Matching Biggest Common Factor Method

Factors of 81

List of positive integer factors of 81 that divides 81 without a remainder.

1,3,9,27,81

Factors of 390

List of positive integer factors of 390 that divides 390 without a remainder.

1,2,3,5,6,10,13,15,26,30,39,65,78,130,195,390

Factors of 754

List of positive integer factors of 754 that divides 754 without a remainder.

1,2,13,26,29,58,377,754

Greatest Common Factor

We found the factors 81,390,754 . The biggest common factor number is the GCF number.
So the greatest common factor 81,390,754 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 7/81, 67/390, 10/754

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 7/81, 67/390, 10/754?

Answer: LCM of Numerators as per given numbers 7/81, 67/390, 10/754 is

LCM of Numerators i.e. for 7,67,10 is 4690

GCF of denominators i.e. for 81,390,754 is 1.

Thus, LCM of Fractions is 4690.Finally, LCM of Fractions for 7/81, 67/390, 10/754 is 4690.