Least Common Multiple of 770/824, 9565/3609

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 770/824, 9565/3609 quickly i.e. 1473010 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 770/824, 9565/3609 is 1473010.

LCM(770/824, 9565/3609) = 1473010

LCM of 770/824, 9565/3609

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 770/824,9565/3609

Given numbers are 770/824,9565/3609

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 770,9565

Least Common Multiple of Numerators i.e. LCM of 770,9565 is 1473010.

GCF of Denominators means GCF of 824,3609 as per the given fractions.

GCF of 824,3609 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 770,9565

LCM of Fractions 770/824,9565/3609 is 1473010

5 770, 9565
154, 1913

∴ So the LCM of the given numbers is 5 x 154 x 1913 = 1473010

Least Common Multiple of 770,9565 with GCF Formula

Least Common Multiple of 770,9565 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 770,9565 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(770,9565) = 5

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

GCF(770,9565) x common factors =5 x 1 = 5

LCM(770,9565) = ( 770 × 9565 ) / 5

LCM(770,9565) = 7365050 / 5

LCM(770,9565) = 1473010


Lets's calculate GCF of 824,3609

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1473010/1

Therefore the LCM of Fractions 770/824,9565/3609 is 1473010

Greatest Common Factor of 824,3609 By Matching Biggest Common Factor Method

Greatest Common Factor of 824,3609 By Matching Biggest Common Factor Method

Factors of 824

List of positive integer factors of 824 that divides 824 without a remainder.

1,2,4,8,103,206,412,824

Factors of 3609

List of positive integer factors of 3609 that divides 3609 without a remainder.

1,3,9,401,1203,3609

Greatest Common Factor

We found the factors 824,3609 . The biggest common factor number is the GCF number.
So the greatest common factor 824,3609 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 770/824, 9565/3609

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 770/824, 9565/3609?

Answer: LCM of Numerators as per given numbers 770/824, 9565/3609 is

LCM of Numerators i.e. for 770,9565 is 1473010

GCF of denominators i.e. for 824,3609 is 1.

Thus, LCM of Fractions is 1473010.Finally, LCM of Fractions for 770/824, 9565/3609 is 1473010.