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LCM of 448, 124, 869, 964

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


Find the LCM of 448, 124, 869, 964 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, 124, 869, 964. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 448,124,869,964

Given numbers are 448,124,869,964

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

The LCM of 448,124,869,964 is 2908549952.

Find LCM of 448,124,869,964 with Prime Factorization


2 448, 124, 869, 964
2 224, 62, 869, 482
112, 31, 869, 241

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

2 x 2 x 112 x 31 x 869 x 241 = 2908549952

Therefore, the lowest common multiple of 448,124,869,964 is 2908549952.

LCM Formula to Find Lowest Common Multiple of 448,124,869,964

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 124 x 869 x 964 = 46536799232

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

124 : 1, 2, 4, 31, 62, 124

869 : 1, 11, 79, 869

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 448,124,869,964, is 1.

Now, the common factors can be found like this.

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

124:2x 2x 31

869:11x 79

964:2x 2x 241

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 2 = 16

Therefore, the value for common factors is 16.

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 = 46536799232/(1x16)

LCM = 46536799232/16

LCM = 2908549952

Thus, we can understand that the LCM of 448,124,869,964 is 2908549952.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 448, 124, 869, 964

1. What is the LCM of 448, 124, 869, 964?

Answer: LCM of 448, 124, 869, 964 is 2908549952.

2. How to calculate the LCM of 448, 124, 869, 964?

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, 124, 869, 964.

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}.