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LCM of 303, 613, 613, 110

Created By : Jatin Gogia
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023


Find the LCM of 303, 613, 613, 110 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 303, 613, 613, 110. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 303,613,613,110

Given numbers are 303,613,613,110

The least common multiple of numbers can be find using the prime factorization method or LCM formula.

The LCM of 303,613,613,110 is 20431290.

Find LCM of 303,613,613,110 with Prime Factorization


613 303, 613, 613, 110
303, 1, 1, 110

Multiply the prime numbers at the bottom and the left side.

613 x 303 x 1 x 1 x 110 = 20431290

Therefore, the lowest common multiple of 303,613,613,110 is 20431290.

LCM Formula to Find Lowest Common Multiple of 303,613,613,110

LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

Firstly, we have to find the product of all the numbers.

303 x 613 x 613 x 110 = 12524380770

Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.

303 : 1, 3, 101, 303

613 : 1, 613

613 : 1, 613

110 : 1, 2, 5, 10, 11, 22, 55, 110

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 303,613,613,110, is 1.

Now, the common factors can be found like this.

303:3x 101

613:613

613:613

110:2x 5x 11

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

613 = 613

Therefore, the value for common factors is 613.

Now that we have all the elements of the formula, we can plug them in to calculate the LCM.

LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

LCM = 12524380770/(1x613)

LCM = 12524380770/613

LCM = 20431290

Thus, we can understand that the LCM of 303,613,613,110 is 20431290.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 303, 613, 613, 110

1. What is the LCM of 303, 613, 613, 110?

Answer: LCM of 303, 613, 613, 110 is 20431290.

2. How to calculate the LCM of 303, 613, 613, 110?

The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 303, 613, 613, 110.

3. What is the LCM formula?

The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.