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LCM of 448, 634, 441, 385

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


Find the LCM of 448, 634, 441, 385 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, 634, 441, 385. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 448,634,441,385

Given numbers are 448,634,441,385

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

The LCM of 448,634,441,385 is 492085440.

Find LCM of 448,634,441,385 with Prime Factorization


2 448, 634, 441, 385
7 224, 317, 441, 385
32, 317, 63, 55

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

2 x 7 x 32 x 317 x 63 x 55 = 492085440

Therefore, the lowest common multiple of 448,634,441,385 is 492085440.

LCM Formula to Find Lowest Common Multiple of 448,634,441,385

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 634 x 441 x 385 = 48224373120

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

634 : 1, 2, 317, 634

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

385 : 1, 5, 7, 11, 35, 55, 77, 385

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 448,634,441,385, is 1.

Now, the common factors can be found like this.

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

634:2x 317

441:3x 3x 7x 7

385:5x 7x 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 7x 7 = 98

Therefore, the value for common factors is 98.

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 = 48224373120/(1x98)

LCM = 48224373120/98

LCM = 492085440

Thus, we can understand that the LCM of 448,634,441,385 is 492085440.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 448, 634, 441, 385

1. What is the LCM of 448, 634, 441, 385?

Answer: LCM of 448, 634, 441, 385 is 492085440.

2. How to calculate the LCM of 448, 634, 441, 385?

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, 634, 441, 385.

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}.