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LCM of 448, 565, 526, 362

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


Find the LCM of 448, 565, 526, 362 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, 565, 526, 362. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 448,565,526,362

Given numbers are 448,565,526,362

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

The LCM of 448,565,526,362 is 12049271360.

Find LCM of 448,565,526,362 with Prime Factorization


2 448, 565, 526, 362
224, 565, 263, 181

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

2 x 224 x 565 x 263 x 181 = 12049271360

Therefore, the lowest common multiple of 448,565,526,362 is 12049271360.

LCM Formula to Find Lowest Common Multiple of 448,565,526,362

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 565 x 526 x 362 = 48197085440

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

565 : 1, 5, 113, 565

526 : 1, 2, 263, 526

362 : 1, 2, 181, 362

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 448,565,526,362, is 1.

Now, the common factors can be found like this.

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

565:5x 113

526:2x 263

362:2x 181

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 48197085440/(1x4)

LCM = 48197085440/4

LCM = 12049271360

Thus, we can understand that the LCM of 448,565,526,362 is 12049271360.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 448, 565, 526, 362

1. What is the LCM of 448, 565, 526, 362?

Answer: LCM of 448, 565, 526, 362 is 12049271360.

2. How to calculate the LCM of 448, 565, 526, 362?

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, 565, 526, 362.

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}.