Least Common Multiple of 804/65, 770/8944

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 804/65, 770/8944 quickly i.e. 309540/13 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 804/65, 770/8944 is 309540/13.

LCM(804/65, 770/8944) = 309540/13

LCM of 804/65, 770/8944

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 804/65,770/8944

Given numbers are 804/65,770/8944

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 804,770

Least Common Multiple of Numerators i.e. LCM of 804,770 is 309540.

GCF of Denominators means GCF of 65,8944 as per the given fractions.

GCF of 65,8944 is 13 as it is the largest common factor for these numbers.

Lets's calculate LCM of 804,770

LCM of Fractions 804/65,770/8944 is 309540/13

2 804, 770
402, 385

∴ So the LCM of the given numbers is 2 x 402 x 385 = 309540

Least Common Multiple of 804,770 with GCF Formula

Least Common Multiple of 804,770 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 804,770 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(804,770) = 2

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

GCF(804,770) x common factors =2 x 1 = 2

LCM(804,770) = ( 804 × 770 ) / 2

LCM(804,770) = 619080 / 2

LCM(804,770) = 309540


Lets's calculate GCF of 65,8944

13 65, 8944
5, 688

∴ So the GCF of the given numbers is 13 = 13

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 309540/13

Therefore the LCM of Fractions 804/65,770/8944 is 309540/13

Greatest Common Factor of 65,8944 By Matching Biggest Common Factor Method

Greatest Common Factor of 65,8944 By Matching Biggest Common Factor Method

Factors of 65

List of positive integer factors of 65 that divides 65 without a remainder.

1,5,13,65

Factors of 8944

List of positive integer factors of 8944 that divides 8944 without a remainder.

1,2,4,8,13,16,26,43,52,86,104,172,208,344,559,688,1118,2236,4472,8944

Greatest Common Factor

We found the factors 65,8944 . The biggest common factor number is the GCF number.
So the greatest common factor 65,8944 is 13.


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 804/65, 770/8944

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 804/65, 770/8944?

Answer: LCM of Numerators as per given numbers 804/65, 770/8944 is

LCM of Numerators i.e. for 804,770 is 309540

GCF of denominators i.e. for 65,8944 is 13.

Thus, LCM of Fractions is 309540/13.Finally, LCM of Fractions for 804/65, 770/8944 is 309540/13.