Least Common Multiple of 7530/770, 8589/982

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 7530/770, 8589/982 quickly i.e. 10779195 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7530/770, 8589/982 is 10779195.

LCM(7530/770, 8589/982) = 10779195

LCM of 7530/770, 8589/982

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 7530/770,8589/982

Given numbers are 7530/770,8589/982

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 7530,8589

Least Common Multiple of Numerators i.e. LCM of 7530,8589 is 21558390.

GCF of Denominators means GCF of 770,982 as per the given fractions.

GCF of 770,982 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7530,8589

LCM of Fractions 7530/770,8589/982 is 10779195

3 7530, 8589
2510, 2863

∴ So the LCM of the given numbers is 3 x 2510 x 2863 = 21558390

Least Common Multiple of 7530,8589 with GCF Formula

Least Common Multiple of 7530,8589 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 7530,8589 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7530,8589) = 3

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

GCF(7530,8589) x common factors =3 x 1 = 3

LCM(7530,8589) = ( 7530 × 8589 ) / 3

LCM(7530,8589) = 64675170 / 3

LCM(7530,8589) = 21558390


Lets's calculate GCF of 770,982

2 770, 982
385, 491

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 21558390/2

Therefore the LCM of Fractions 7530/770,8589/982 is 10779195

Greatest Common Factor of 770,982 By Matching Biggest Common Factor Method

Greatest Common Factor of 770,982 By Matching Biggest Common Factor Method

Factors of 770

List of positive integer factors of 770 that divides 770 without a remainder.

1,2,5,7,10,11,14,22,35,55,70,77,110,154,385,770

Factors of 982

List of positive integer factors of 982 that divides 982 without a remainder.

1,2,491,982

Greatest Common Factor

We found the factors 770,982 . The biggest common factor number is the GCF number.
So the greatest common factor 770,982 is 2.


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 7530/770, 8589/982

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 7530/770, 8589/982?

Answer: LCM of Numerators as per given numbers 7530/770, 8589/982 is

LCM of Numerators i.e. for 7530,8589 is 21558390

GCF of denominators i.e. for 770,982 is 2.

Thus, LCM of Fractions is 10779195.Finally, LCM of Fractions for 7530/770, 8589/982 is 10779195.