Least Common Multiple of 844/705, 813/658

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 844/705, 813/658 quickly i.e. 686172/47 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 844/705, 813/658 is 686172/47.

LCM(844/705, 813/658) = 686172/47

LCM of 844/705, 813/658

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 844/705,813/658

Given numbers are 844/705,813/658

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 844,813

Least Common Multiple of Numerators i.e. LCM of 844,813 is 686172.

GCF of Denominators means GCF of 705,658 as per the given fractions.

GCF of 705,658 is 47 as it is the largest common factor for these numbers.

Lets's calculate LCM of 844,813

LCM of Fractions 844/705,813/658 is 686172/47

Given numbers has no common factors except 1. So, there LCM is their product i.e 686172

Least Common Multiple of 844,813 with GCF Formula

Least Common Multiple of 844,813 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 844,813 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(844,813) = 1

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

GCF(844,813) x common factors =1 x 1 = 1

LCM(844,813) = ( 844 × 813 ) / 1

LCM(844,813) = 686172 / 1

LCM(844,813) = 686172


Lets's calculate GCF of 705,658

47 705, 658
15, 14

∴ So the GCF of the given numbers is 47 = 47

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 686172/47

Therefore the LCM of Fractions 844/705,813/658 is 686172/47

Greatest Common Factor of 705,658 By Matching Biggest Common Factor Method

Greatest Common Factor of 705,658 By Matching Biggest Common Factor Method

Factors of 705

List of positive integer factors of 705 that divides 705 without a remainder.

1,3,5,15,47,141,235,705

Factors of 658

List of positive integer factors of 658 that divides 658 without a remainder.

1,2,7,14,47,94,329,658

Greatest Common Factor

We found the factors 705,658 . The biggest common factor number is the GCF number.
So the greatest common factor 705,658 is 47.


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 844/705, 813/658

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 844/705, 813/658?

Answer: LCM of Numerators as per given numbers 844/705, 813/658 is

LCM of Numerators i.e. for 844,813 is 686172

GCF of denominators i.e. for 705,658 is 47.

Thus, LCM of Fractions is 686172/47.Finally, LCM of Fractions for 844/705, 813/658 is 686172/47.