Least Common Multiple of 737/834, 845/385, 585/513

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 737/834, 845/385, 585/513 quickly i.e. 5604885 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 737/834, 845/385, 585/513 is 5604885.

LCM(737/834, 845/385, 585/513) = 5604885

LCM of 737/834, 845/385, 585/513

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 737/834,845/385,585/513

Given numbers are 737/834,845/385,585/513

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 737,845,585

Least Common Multiple of Numerators i.e. LCM of 737,845,585 is 5604885.

GCF of Denominators means GCF of 834,385,513 as per the given fractions.

GCF of 834,385,513 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 737,845,585

LCM of Fractions 737/834,845/385,585/513 is 5604885

5 737, 845, 585
13 737, 169, 117
737, 13, 9

∴ So the LCM of the given numbers is 5 x 13 x 737 x 13 x 9 = 5604885

Least Common Multiple of 737,845,585 with GCF Formula

Least Common Multiple of 737,845,585 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 737,845,585 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(737,845,585) = 1

common factors(in case of two or more numbers have common factors) = 65

GCF(737,845,585) x common factors =1 x 65 = 65

LCM(737,845,585) = ( 737 × 845 × 585 ) / 65

LCM(737,845,585) = 364317525 / 65

LCM(737,845,585) = 5604885


Lets's calculate GCF of 834,385,513

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5604885/1

Therefore the LCM of Fractions 737/834,845/385,585/513 is 5604885

Greatest Common Factor of 834,385,513 By Matching Biggest Common Factor Method

Greatest Common Factor of 834,385,513 By Matching Biggest Common Factor Method

Factors of 834

List of positive integer factors of 834 that divides 834 without a remainder.

1,2,3,6,139,278,417,834

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 513

List of positive integer factors of 513 that divides 513 without a remainder.

1,3,9,19,27,57,171,513

Greatest Common Factor

We found the factors 834,385,513 . The biggest common factor number is the GCF number.
So the greatest common factor 834,385,513 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 737/834, 845/385, 585/513

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 737/834, 845/385, 585/513?

Answer: LCM of Numerators as per given numbers 737/834, 845/385, 585/513 is

LCM of Numerators i.e. for 737,845,585 is 5604885

GCF of denominators i.e. for 834,385,513 is 1.

Thus, LCM of Fractions is 5604885.Finally, LCM of Fractions for 737/834, 845/385, 585/513 is 5604885.