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LCM of 736, 828, 948, 444

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


Find the LCM of 736, 828, 948, 444 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 736, 828, 948, 444. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 736,828,948,444

Given numbers are 736,828,948,444

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

The LCM of 736,828,948,444 is 19361952.

Find LCM of 736,828,948,444 with Prime Factorization


2 736, 828, 948, 444
2 368, 414, 474, 222
3 184, 207, 237, 111
23 184, 69, 79, 37
8, 3, 79, 37

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

2 x 2 x 3 x 23 x 8 x 3 x 79 x 37 = 19361952

Therefore, the lowest common multiple of 736,828,948,444 is 19361952.

LCM Formula to Find Lowest Common Multiple of 736,828,948,444

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.

736 x 828 x 948 x 444 = 256507140096

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.

736 : 1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736

828 : 1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

948 : 1, 2, 3, 4, 6, 12, 79, 158, 237, 316, 474, 948

444 : 1, 2, 3, 4, 6, 12, 37, 74, 111, 148, 222, 444

4 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 736,828,948,444, is 4.

Now, the common factors can be found like this.

736:2x 2x 2x 2x 2x 23

828:2x 2x 3x 3x 23

948:2x 2x 3x 79

444:2x 2x 3x 37

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 2x 3x 3x 23 = 3312

Therefore, the value for common factors is 3312.

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 = 256507140096/(4x3312)

LCM = 256507140096/13248

LCM = 19361952

Thus, we can understand that the LCM of 736,828,948,444 is 19361952.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 736, 828, 948, 444

1. What is the LCM of 736, 828, 948, 444?

Answer: LCM of 736, 828, 948, 444 is 19361952.

2. How to calculate the LCM of 736, 828, 948, 444?

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 736, 828, 948, 444.

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}.