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LCM of 448, 326, 106, 954

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


Find the LCM of 448, 326, 106, 954 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 448, 326, 106, 954. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 448,326,106,954

Given numbers are 448,326,106,954

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

The LCM of 448,326,106,954 is 34832448.

Find LCM of 448,326,106,954 with Prime Factorization


2 448, 326, 106, 954
53 224, 163, 53, 477
224, 163, 1, 9

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

2 x 53 x 224 x 163 x 1 x 9 = 34832448

Therefore, the lowest common multiple of 448,326,106,954 is 34832448.

LCM Formula to Find Lowest Common Multiple of 448,326,106,954

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.

448 x 326 x 106 x 954 = 14768957952

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.

448 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 224, 448

326 : 1, 2, 163, 326

106 : 1, 2, 53, 106

954 : 1, 2, 3, 6, 9, 18, 53, 106, 159, 318, 477, 954

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 448,326,106,954, is 2.

Now, the common factors can be found like this.

448:2x 2x 2x 2x 2x 2x 7

326:2x 163

106:2x 53

954:2x 3x 3x 53

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 53 = 212

Therefore, the value for common factors is 212.

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 = 14768957952/(2x212)

LCM = 14768957952/424

LCM = 34832448

Thus, we can understand that the LCM of 448,326,106,954 is 34832448.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 448, 326, 106, 954

1. What is the LCM of 448, 326, 106, 954?

Answer: LCM of 448, 326, 106, 954 is 34832448.

2. How to calculate the LCM of 448, 326, 106, 954?

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 448, 326, 106, 954.

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}.