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LCM of 909, 348, 964, 968, 484

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


Find the LCM of 909, 348, 964, 968, 484 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 909, 348, 964, 968, 484. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 909,348,964,968,484

Given numbers are 909,348,964,968,484

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

The LCM of 909,348,964,968,484 is 6149704968.

Find LCM of 909,348,964,968,484 with Prime Factorization


2 909, 348, 964, 968, 484
2 909, 174, 482, 484, 242
3 909, 87, 241, 121, 242
11 303, 29, 241, 121, 242
11 303, 29, 241, 11, 22
303, 29, 241, 1, 2

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

2 x 2 x 3 x 11 x 11 x 303 x 29 x 241 x 1 x 2 = 6149704968

Therefore, the lowest common multiple of 909,348,964,968,484 is 6149704968.

LCM Formula to Find Lowest Common Multiple of 909,348,964,968,484

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.

909 x 348 x 964 x 968 x 484 = 142869945816576

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.

909 : 1, 3, 9, 101, 303, 909

348 : 1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348

964 : 1, 2, 4, 241, 482, 964

968 : 1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968

484 : 1, 2, 4, 11, 22, 44, 121, 242, 484

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 909,348,964,968,484, is 1.

Now, the common factors can be found like this.

909:3x 3x 101

348:2x 2x 3x 29

964:2x 2x 241

968:2x 2x 2x 11x 11

484:2x 2x 11x 11

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

2x 2x 2x 2x 2x 2x 3x 11x 11 = 23232

Therefore, the value for common factors is 23232.

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 = 142869945816576/(1x23232)

LCM = 142869945816576/23232

LCM = 6149704968

Thus, we can understand that the LCM of 909,348,964,968,484 is 6149704968.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 909, 348, 964, 968, 484

1. What is the LCM of 909, 348, 964, 968, 484?

Answer: LCM of 909, 348, 964, 968, 484 is 6149704968.

2. How to calculate the LCM of 909, 348, 964, 968, 484?

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 909, 348, 964, 968, 484.

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}.