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LCM of 400, 536, 737, 936, 460

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


Find the LCM of 400, 536, 737, 936, 460 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 400, 536, 737, 936, 460. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 400,536,737,936,460

Given numbers are 400,536,737,936,460

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

The LCM of 400,536,737,936,460 is 793306800.

Find LCM of 400,536,737,936,460 with Prime Factorization


2 400, 536, 737, 936, 460
2 200, 268, 737, 468, 230
2 100, 134, 737, 234, 115
5 50, 67, 737, 117, 115
67 10, 67, 737, 117, 23
10, 1, 11, 117, 23

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

2 x 2 x 2 x 5 x 67 x 10 x 1 x 11 x 117 x 23 = 793306800

Therefore, the lowest common multiple of 400,536,737,936,460 is 793306800.

LCM Formula to Find Lowest Common Multiple of 400,536,737,936,460

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.

400 x 536 x 737 x 936 x 460 = 68033991168000

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.

400 : 1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400

536 : 1, 2, 4, 8, 67, 134, 268, 536

737 : 1, 11, 67, 737

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

460 : 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 400,536,737,936,460, is 1.

Now, the common factors can be found like this.

400:2x 2x 2x 2x 5x 5

536:2x 2x 2x 67

737:11x 67

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

460:2x 2x 5x 23

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 2x 2x 2x 2x 5x 67 = 85760

Therefore, the value for common factors is 85760.

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 = 68033991168000/(1x85760)

LCM = 68033991168000/85760

LCM = 793306800

Thus, we can understand that the LCM of 400,536,737,936,460 is 793306800.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 400, 536, 737, 936, 460

1. What is the LCM of 400, 536, 737, 936, 460?

Answer: LCM of 400, 536, 737, 936, 460 is 793306800.

2. How to calculate the LCM of 400, 536, 737, 936, 460?

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 400, 536, 737, 936, 460.

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}.