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LCM of 728, 323, 936, 945

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


Find the LCM of 728, 323, 936, 945 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 728, 323, 936, 945. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 728,323,936,945

Given numbers are 728,323,936,945

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

The LCM of 728,323,936,945 is 31744440.

Find LCM of 728,323,936,945 with Prime Factorization


2 728, 323, 936, 945
2 364, 323, 468, 945
2 182, 323, 234, 945
3 91, 323, 117, 945
3 91, 323, 39, 315
7 91, 323, 13, 105
13 13, 323, 13, 15
1, 323, 1, 15

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

2 x 2 x 2 x 3 x 3 x 7 x 13 x 1 x 323 x 1 x 15 = 31744440

Therefore, the lowest common multiple of 728,323,936,945 is 31744440.

LCM Formula to Find Lowest Common Multiple of 728,323,936,945

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.

728 x 323 x 936 x 945 = 207989570880

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.

728 : 1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728

323 : 1, 17, 19, 323

936 : 1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936

945 : 1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 728,323,936,945, is 1.

Now, the common factors can be found like this.

728:2x 2x 2x 7x 13

323:17x 19

936:2x 2x 2x 3x 3x 13

945:3x 3x 3x 5x 7

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 3x 3x 7x 13 = 6552

Therefore, the value for common factors is 6552.

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 = 207989570880/(1x6552)

LCM = 207989570880/6552

LCM = 31744440

Thus, we can understand that the LCM of 728,323,936,945 is 31744440.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 728, 323, 936, 945

1. What is the LCM of 728, 323, 936, 945?

Answer: LCM of 728, 323, 936, 945 is 31744440.

2. How to calculate the LCM of 728, 323, 936, 945?

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 728, 323, 936, 945.

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}.