Least Common Multiple of 346/464, 681/165, 670/444

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 346/464, 681/165, 670/444 quickly i.e. 78934710 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 346/464, 681/165, 670/444 is 78934710.

LCM(346/464, 681/165, 670/444) = 78934710

LCM of 346/464, 681/165, 670/444

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 346/464,681/165,670/444

Given numbers are 346/464,681/165,670/444

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 346,681,670

Least Common Multiple of Numerators i.e. LCM of 346,681,670 is 78934710.

GCF of Denominators means GCF of 464,165,444 as per the given fractions.

GCF of 464,165,444 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 346,681,670

LCM of Fractions 346/464,681/165,670/444 is 78934710

2 346, 681, 670
173, 681, 335

∴ So the LCM of the given numbers is 2 x 173 x 681 x 335 = 78934710

Least Common Multiple of 346,681,670 with GCF Formula

Least Common Multiple of 346,681,670 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 346,681,670 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(346,681,670) = 1

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

GCF(346,681,670) x common factors =1 x 2 = 2

LCM(346,681,670) = ( 346 × 681 × 670 ) / 2

LCM(346,681,670) = 157869420 / 2

LCM(346,681,670) = 78934710


Lets's calculate GCF of 464,165,444

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 78934710/1

Therefore the LCM of Fractions 346/464,681/165,670/444 is 78934710

Greatest Common Factor of 464,165,444 By Matching Biggest Common Factor Method

Greatest Common Factor of 464,165,444 By Matching Biggest Common Factor Method

Factors of 464

List of positive integer factors of 464 that divides 464 without a remainder.

1,2,4,8,16,29,58,116,232,464

Factors of 165

List of positive integer factors of 165 that divides 165 without a remainder.

1,3,5,11,15,33,55,165

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

Greatest Common Factor

We found the factors 464,165,444 . The biggest common factor number is the GCF number.
So the greatest common factor 464,165,444 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 346/464, 681/165, 670/444

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 346/464, 681/165, 670/444?

Answer: LCM of Numerators as per given numbers 346/464, 681/165, 670/444 is

LCM of Numerators i.e. for 346,681,670 is 78934710

GCF of denominators i.e. for 464,165,444 is 1.

Thus, LCM of Fractions is 78934710.Finally, LCM of Fractions for 346/464, 681/165, 670/444 is 78934710.