Least Common Multiple of 70/678, 407/444, 339/465

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 70/678, 407/444, 339/465 quickly i.e. 3219370 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 70/678, 407/444, 339/465 is 3219370.

LCM(70/678, 407/444, 339/465) = 3219370

LCM of 70/678, 407/444, 339/465

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 70/678,407/444,339/465

Given numbers are 70/678,407/444,339/465

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 70,407,339

Least Common Multiple of Numerators i.e. LCM of 70,407,339 is 9658110.

GCF of Denominators means GCF of 678,444,465 as per the given fractions.

GCF of 678,444,465 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 70,407,339

LCM of Fractions 70/678,407/444,339/465 is 3219370

Given numbers has no common factors except 1. So, there LCM is their product i.e 9658110

Least Common Multiple of 70,407,339 with GCF Formula

Least Common Multiple of 70,407,339 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 70,407,339 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(70,407,339) = 1

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

GCF(70,407,339) x common factors =1 x 1 = 1

LCM(70,407,339) = ( 70 × 407 × 339 ) / 1

LCM(70,407,339) = 9658110 / 1

LCM(70,407,339) = 9658110


Lets's calculate GCF of 678,444,465

3 678, 444, 465
226, 148, 155

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9658110/3

Therefore the LCM of Fractions 70/678,407/444,339/465 is 3219370

Greatest Common Factor of 678,444,465 By Matching Biggest Common Factor Method

Greatest Common Factor of 678,444,465 By Matching Biggest Common Factor Method

Factors of 678

List of positive integer factors of 678 that divides 678 without a remainder.

1,2,3,6,113,226,339,678

Factors of 444

List of positive integer factors of 444 that divides 444 without a remainder.

1,2,3,4,6,12,37,74,111,148,222,444

Factors of 465

List of positive integer factors of 465 that divides 465 without a remainder.

1,3,5,15,31,93,155,465

Greatest Common Factor

We found the factors 678,444,465 . The biggest common factor number is the GCF number.
So the greatest common factor 678,444,465 is 3.


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 70/678, 407/444, 339/465

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 70/678, 407/444, 339/465?

Answer: LCM of Numerators as per given numbers 70/678, 407/444, 339/465 is

LCM of Numerators i.e. for 70,407,339 is 9658110

GCF of denominators i.e. for 678,444,465 is 3.

Thus, LCM of Fractions is 3219370.Finally, LCM of Fractions for 70/678, 407/444, 339/465 is 3219370.