Least Common Multiple of 646/462, 710/385, 726/844

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 646/462, 710/385, 726/844 quickly i.e. 83246790 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 646/462, 710/385, 726/844 is 83246790.

LCM(646/462, 710/385, 726/844) = 83246790

LCM of 646/462, 710/385, 726/844

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 646/462,710/385,726/844

Given numbers are 646/462,710/385,726/844

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 646,710,726

Least Common Multiple of Numerators i.e. LCM of 646,710,726 is 83246790.

GCF of Denominators means GCF of 462,385,844 as per the given fractions.

GCF of 462,385,844 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 646,710,726

LCM of Fractions 646/462,710/385,726/844 is 83246790

2 646, 710, 726
323, 355, 363

∴ So the LCM of the given numbers is 2 x 323 x 355 x 363 = 83246790

Least Common Multiple of 646,710,726 with GCF Formula

Least Common Multiple of 646,710,726 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 646,710,726 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(646,710,726) = 2

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

GCF(646,710,726) x common factors =2 x 2 = 4

LCM(646,710,726) = ( 646 × 710 × 726 ) / 4

LCM(646,710,726) = 332987160 / 4

LCM(646,710,726) = 83246790


Lets's calculate GCF of 462,385,844

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 83246790/1

Therefore the LCM of Fractions 646/462,710/385,726/844 is 83246790

Greatest Common Factor of 462,385,844 By Matching Biggest Common Factor Method

Greatest Common Factor of 462,385,844 By Matching Biggest Common Factor Method

Factors of 462

List of positive integer factors of 462 that divides 462 without a remainder.

1,2,3,6,7,11,14,21,22,33,42,66,77,154,231,462

Factors of 385

List of positive integer factors of 385 that divides 385 without a remainder.

1,5,7,11,35,55,77,385

Factors of 844

List of positive integer factors of 844 that divides 844 without a remainder.

1,2,4,211,422,844

Greatest Common Factor

We found the factors 462,385,844 . The biggest common factor number is the GCF number.
So the greatest common factor 462,385,844 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 646/462, 710/385, 726/844

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 646/462, 710/385, 726/844?

Answer: LCM of Numerators as per given numbers 646/462, 710/385, 726/844 is

LCM of Numerators i.e. for 646,710,726 is 83246790

GCF of denominators i.e. for 462,385,844 is 1.

Thus, LCM of Fractions is 83246790.Finally, LCM of Fractions for 646/462, 710/385, 726/844 is 83246790.