Least Common Multiple of 834/973, 326/206, 460/837

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 834/973, 326/206, 460/837 quickly i.e. 31266660 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 834/973, 326/206, 460/837 is 31266660.

LCM(834/973, 326/206, 460/837) = 31266660

LCM of 834/973, 326/206, 460/837

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 834/973,326/206,460/837

Given numbers are 834/973,326/206,460/837

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 834,326,460

Least Common Multiple of Numerators i.e. LCM of 834,326,460 is 31266660.

GCF of Denominators means GCF of 973,206,837 as per the given fractions.

GCF of 973,206,837 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 834,326,460

LCM of Fractions 834/973,326/206,460/837 is 31266660

2 834, 326, 460
417, 163, 230

∴ So the LCM of the given numbers is 2 x 417 x 163 x 230 = 31266660

Least Common Multiple of 834,326,460 with GCF Formula

Least Common Multiple of 834,326,460 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 834,326,460 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(834,326,460) = 2

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

GCF(834,326,460) x common factors =2 x 2 = 4

LCM(834,326,460) = ( 834 × 326 × 460 ) / 4

LCM(834,326,460) = 125066640 / 4

LCM(834,326,460) = 31266660


Lets's calculate GCF of 973,206,837

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 31266660/1

Therefore the LCM of Fractions 834/973,326/206,460/837 is 31266660

Greatest Common Factor of 973,206,837 By Matching Biggest Common Factor Method

Greatest Common Factor of 973,206,837 By Matching Biggest Common Factor Method

Factors of 973

List of positive integer factors of 973 that divides 973 without a remainder.

1,7,139,973

Factors of 206

List of positive integer factors of 206 that divides 206 without a remainder.

1,2,103,206

Factors of 837

List of positive integer factors of 837 that divides 837 without a remainder.

1,3,9,27,31,93,279,837

Greatest Common Factor

We found the factors 973,206,837 . The biggest common factor number is the GCF number.
So the greatest common factor 973,206,837 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 834/973, 326/206, 460/837

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 834/973, 326/206, 460/837?

Answer: LCM of Numerators as per given numbers 834/973, 326/206, 460/837 is

LCM of Numerators i.e. for 834,326,460 is 31266660

GCF of denominators i.e. for 973,206,837 is 1.

Thus, LCM of Fractions is 31266660.Finally, LCM of Fractions for 834/973, 326/206, 460/837 is 31266660.