Least Common Multiple of 8070/99, 8674/440

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 8070/99, 8674/440 quickly i.e. 34999590/11 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 8070/99, 8674/440 is 34999590/11.

LCM(8070/99, 8674/440) = 34999590/11

LCM of 8070/99, 8674/440

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 8070/99,8674/440

Given numbers are 8070/99,8674/440

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 8070,8674

Least Common Multiple of Numerators i.e. LCM of 8070,8674 is 34999590.

GCF of Denominators means GCF of 99,440 as per the given fractions.

GCF of 99,440 is 11 as it is the largest common factor for these numbers.

Lets's calculate LCM of 8070,8674

LCM of Fractions 8070/99,8674/440 is 34999590/11

2 8070, 8674
4035, 4337

∴ So the LCM of the given numbers is 2 x 4035 x 4337 = 34999590

Least Common Multiple of 8070,8674 with GCF Formula

Least Common Multiple of 8070,8674 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 8070,8674 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8070,8674) = 2

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

GCF(8070,8674) x common factors =2 x 1 = 2

LCM(8070,8674) = ( 8070 × 8674 ) / 2

LCM(8070,8674) = 69999180 / 2

LCM(8070,8674) = 34999590


Lets's calculate GCF of 99,440

11 99, 440
9, 40

∴ So the GCF of the given numbers is 11 = 11

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 34999590/11

Therefore the LCM of Fractions 8070/99,8674/440 is 34999590/11

Greatest Common Factor of 99,440 By Matching Biggest Common Factor Method

Greatest Common Factor of 99,440 By Matching Biggest Common Factor Method

Factors of 99

List of positive integer factors of 99 that divides 99 without a remainder.

1,3,9,11,33,99

Factors of 440

List of positive integer factors of 440 that divides 440 without a remainder.

1,2,4,5,8,10,11,20,22,40,44,55,88,110,220,440

Greatest Common Factor

We found the factors 99,440 . The biggest common factor number is the GCF number.
So the greatest common factor 99,440 is 11.


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 8070/99, 8674/440

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 8070/99, 8674/440?

Answer: LCM of Numerators as per given numbers 8070/99, 8674/440 is

LCM of Numerators i.e. for 8070,8674 is 34999590

GCF of denominators i.e. for 99,440 is 11.

Thus, LCM of Fractions is 34999590/11.Finally, LCM of Fractions for 8070/99, 8674/440 is 34999590/11.