Least Common Multiple of 7180/606, 8515/689

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 7180/606, 8515/689 quickly i.e. 12227540 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7180/606, 8515/689 is 12227540.

LCM(7180/606, 8515/689) = 12227540

LCM of 7180/606, 8515/689

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 7180/606,8515/689

Given numbers are 7180/606,8515/689

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 7180,8515

Least Common Multiple of Numerators i.e. LCM of 7180,8515 is 12227540.

GCF of Denominators means GCF of 606,689 as per the given fractions.

GCF of 606,689 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7180,8515

LCM of Fractions 7180/606,8515/689 is 12227540

5 7180, 8515
1436, 1703

∴ So the LCM of the given numbers is 5 x 1436 x 1703 = 12227540

Least Common Multiple of 7180,8515 with GCF Formula

Least Common Multiple of 7180,8515 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 7180,8515 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7180,8515) = 5

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

GCF(7180,8515) x common factors =5 x 1 = 5

LCM(7180,8515) = ( 7180 × 8515 ) / 5

LCM(7180,8515) = 61137700 / 5

LCM(7180,8515) = 12227540


Lets's calculate GCF of 606,689

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 12227540/1

Therefore the LCM of Fractions 7180/606,8515/689 is 12227540

Greatest Common Factor of 606,689 By Matching Biggest Common Factor Method

Greatest Common Factor of 606,689 By Matching Biggest Common Factor Method

Factors of 606

List of positive integer factors of 606 that divides 606 without a remainder.

1,2,3,6,101,202,303,606

Factors of 689

List of positive integer factors of 689 that divides 689 without a remainder.

1,13,53,689

Greatest Common Factor

We found the factors 606,689 . The biggest common factor number is the GCF number.
So the greatest common factor 606,689 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 7180/606, 8515/689

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 7180/606, 8515/689?

Answer: LCM of Numerators as per given numbers 7180/606, 8515/689 is

LCM of Numerators i.e. for 7180,8515 is 12227540

GCF of denominators i.e. for 606,689 is 1.

Thus, LCM of Fractions is 12227540.Finally, LCM of Fractions for 7180/606, 8515/689 is 12227540.