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LCM of 441, 964, 230

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


Find the LCM of 441, 964, 230 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 441, 964, 230. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 441,964,230

Given numbers are 441,964,230

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

The LCM of 441,964,230 is 48889260.

Find LCM of 441,964,230 with Prime Factorization


2 441, 964, 230
441, 482, 115

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

2 x 441 x 482 x 115 = 48889260

Therefore, the lowest common multiple of 441,964,230 is 48889260.

LCM Formula to Find Lowest Common Multiple of 441,964,230

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.

441 x 964 x 230 = 97778520

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.

441 : 1, 3, 7, 9, 21, 49, 63, 147, 441

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

230 : 1, 2, 5, 10, 23, 46, 115, 230

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 441,964,230, is 1.

Now, the common factors can be found like this.

441:3x 3x 7x 7

964:2x 2x 241

230:2x 5x 23

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

2 = 2

Therefore, the value for common factors is 2.

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 = 97778520/(1x2)

LCM = 97778520/2

LCM = 48889260

Thus, we can understand that the LCM of 441,964,230 is 48889260.

LCM of two or more Numbers Calculation Examples

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FAQs on LCM of 441, 964, 230

1. What is the LCM of 441, 964, 230?

Answer: LCM of 441, 964, 230 is 48889260.

2. How to calculate the LCM of 441, 964, 230?

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 441, 964, 230.

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}.