Least Common Multiple of 709/30, 789/14, 774/77

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 709/30, 789/14, 774/77 quickly i.e. 144325458 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 709/30, 789/14, 774/77 is 144325458.

LCM(709/30, 789/14, 774/77) = 144325458

LCM of 709/30, 789/14, 774/77

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 709/30,789/14,774/77

Given numbers are 709/30,789/14,774/77

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 709,789,774

Least Common Multiple of Numerators i.e. LCM of 709,789,774 is 144325458.

GCF of Denominators means GCF of 30,14,77 as per the given fractions.

GCF of 30,14,77 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 709,789,774

LCM of Fractions 709/30,789/14,774/77 is 144325458

3 709, 789, 774
709, 263, 258

∴ So the LCM of the given numbers is 3 x 709 x 263 x 258 = 144325458

Least Common Multiple of 709,789,774 with GCF Formula

Least Common Multiple of 709,789,774 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 709,789,774 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(709,789,774) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(709,789,774) x common factors =1 x 3 = 3

LCM(709,789,774) = ( 709 × 789 × 774 ) / 3

LCM(709,789,774) = 432976374 / 3

LCM(709,789,774) = 144325458


Lets's calculate GCF of 30,14,77

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 144325458/1

Therefore the LCM of Fractions 709/30,789/14,774/77 is 144325458

Greatest Common Factor of 30,14,77 By Matching Biggest Common Factor Method

Greatest Common Factor of 30,14,77 By Matching Biggest Common Factor Method

Factors of 30

List of positive integer factors of 30 that divides 30 without a remainder.

1,2,3,5,6,10,15,30

Factors of 14

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

1,2,7,14

Factors of 77

List of positive integer factors of 77 that divides 77 without a remainder.

1,7,11,77

Greatest Common Factor

We found the factors 30,14,77 . The biggest common factor number is the GCF number.
So the greatest common factor 30,14,77 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 709/30, 789/14, 774/77

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 709/30, 789/14, 774/77?

Answer: LCM of Numerators as per given numbers 709/30, 789/14, 774/77 is

LCM of Numerators i.e. for 709,789,774 is 144325458

GCF of denominators i.e. for 30,14,77 is 1.

Thus, LCM of Fractions is 144325458.Finally, LCM of Fractions for 709/30, 789/14, 774/77 is 144325458.