Least Common Multiple of 89/366, 7586/7110

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 89/366, 7586/7110 quickly i.e. 675154/6 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 89/366, 7586/7110 is 675154/6.

LCM(89/366, 7586/7110) = 675154/6

LCM of 89/366, 7586/7110

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 89/366,7586/7110

Given numbers are 89/366,7586/7110

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 89,7586

Least Common Multiple of Numerators i.e. LCM of 89,7586 is 675154.

GCF of Denominators means GCF of 366,7110 as per the given fractions.

GCF of 366,7110 is 6 as it is the largest common factor for these numbers.

Lets's calculate LCM of 89,7586

LCM of Fractions 89/366,7586/7110 is 675154/6

Given numbers has no common factors except 1. So, there LCM is their product i.e 675154

Least Common Multiple of 89,7586 with GCF Formula

Least Common Multiple of 89,7586 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 89,7586 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(89,7586) = 1

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

GCF(89,7586) x common factors =1 x 1 = 1

LCM(89,7586) = ( 89 × 7586 ) / 1

LCM(89,7586) = 675154 / 1

LCM(89,7586) = 675154


Lets's calculate GCF of 366,7110

2 366, 7110
3 183, 3555
61, 1185

∴ So the GCF of the given numbers is 2 x 3 = 6

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 675154/6

Therefore the LCM of Fractions 89/366,7586/7110 is 675154/6

Greatest Common Factor of 366,7110 By Matching Biggest Common Factor Method

Greatest Common Factor of 366,7110 By Matching Biggest Common Factor Method

Factors of 366

List of positive integer factors of 366 that divides 366 without a remainder.

1,2,3,6,61,122,183,366

Factors of 7110

List of positive integer factors of 7110 that divides 7110 without a remainder.

1,2,3,5,6,9,10,15,18,30,45,79,90,158,237,395,474,711,790,1185,1422,2370,3555,7110

Greatest Common Factor

We found the factors 366,7110 . The biggest common factor number is the GCF number.
So the greatest common factor 366,7110 is 6.


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 89/366, 7586/7110

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 89/366, 7586/7110?

Answer: LCM of Numerators as per given numbers 89/366, 7586/7110 is

LCM of Numerators i.e. for 89,7586 is 675154

GCF of denominators i.e. for 366,7110 is 6.

Thus, LCM of Fractions is 675154/6.Finally, LCM of Fractions for 89/366, 7586/7110 is 675154/6.