Given numbers are 782,936,532,675,738

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

The LCM of 782,936,532,675,738 is 149675034600.

Find LCM of 782,936,532,675,738 with Prime Factorization

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

2 x 2 x 3 x 3 x 391 x 26 x 133 x 75 x 41 = 149675034600

Therefore, the lowest common multiple of 782,936,532,675,738 is 149675034600.

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.

782 x 936 x 532 x 675 x 738 = 193978844841600

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.

782 : 1, 2, 17, 23, 34, 46, 391, 782

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

532 : 1, 2, 4, 7, 14, 19, 28, 38, 76, 133, 266, 532

675 : 1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225, 675

738 : 1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 782,936,532,675,738, is 1.

Now, the common factors can be found like this.

782:2x 17x 23

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

532:2x 2x 7x 19

675:3x 3x 3x 5x 5

738:2x 3x 3x 41

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 3x 3 = 1296

Therefore, the value for common factors is 1296.

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 = 193978844841600/(1x1296)

LCM = 193978844841600/1296

LCM = 149675034600

Thus, we can understand that the LCM of 782,936,532,675,738 is 149675034600.

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

• LCM of 471, 183, 218, 458, 626
• LCM of 976, 443, 900, 679, 653
• LCM of 245, 132, 959, 333, 991
• LCM of 549, 100, 650, 383, 875
• LCM of 191, 672, 568, 335, 466

1. What is the LCM of 782, 936, 532, 675, 738?

Answer: LCM of 782, 936, 532, 675, 738 is 149675034600.

2. How to calculate the LCM of 782, 936, 532, 675, 738?

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 782, 936, 532, 675, 738.

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}.