Given numbers are 936,351,552,745

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

The LCM of 936,351,552,745 is 48115080.

Find LCM of 936,351,552,745 with Prime Factorization

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

2 x 2 x 2 x 3 x 3 x 13 x 1 x 3 x 23 x 745 = 48115080

Therefore, the lowest common multiple of 936,351,552,745 is 48115080.

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.

936 x 351 x 552 x 745 = 135107144640

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.

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

351 : 1, 3, 9, 13, 27, 39, 117, 351

552 : 1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 184, 276, 552

745 : 1, 5, 149, 745

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 936,351,552,745, is 1.

Now, the common factors can be found like this.

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

351:3x 3x 3x 13

552:2x 2x 2x 3x 23

745:5x 149

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 3x 13 = 2808

Therefore, the value for common factors is 2808.

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 = 135107144640/(1x2808)

LCM = 135107144640/2808

LCM = 48115080

Thus, we can understand that the LCM of 936,351,552,745 is 48115080.

Here are some samples of LCM of two or more Numbers calculations.

• LCM of 817, 911, 251, 100
• LCM of 467, 858, 764, 601
• LCM of 106, 613, 428, 461
• LCM of 718, 777, 945, 822
• LCM of 631, 282, 281, 110

1. What is the LCM of 936, 351, 552, 745?

Answer: LCM of 936, 351, 552, 745 is 48115080.

2. How to calculate the LCM of 936, 351, 552, 745?

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 936, 351, 552, 745.

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}.