Given numbers are 782,752,136,924

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

The LCM of 782,752,136,924 is 67921392.

Find LCM of 782,752,136,924 with Prime Factorization

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

2 x 2 x 2 x 17 x 23 x 94 x 1 x 231 = 67921392

Therefore, the lowest common multiple of 782,752,136,924 is 67921392.

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 752 x 136 x 924 = 73898474496

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

752 : 1, 2, 4, 8, 16, 47, 94, 188, 376, 752

136 : 1, 2, 4, 8, 17, 34, 68, 136

924 : 1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 782,752,136,924, is 2.

Now, the common factors can be found like this.

782:2x 17x 23

752:2x 2x 2x 2x 47

136:2x 2x 2x 17

924:2x 2x 3x 7x 11

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 17 = 544

Therefore, the value for common factors is 544.

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 = 73898474496/(2x544)

LCM = 73898474496/1088

LCM = 67921392

Thus, we can understand that the LCM of 782,752,136,924 is 67921392.

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

• LCM of 487, 182, 838, 818
• LCM of 359, 256, 376, 760
• LCM of 153, 505, 770, 712
• LCM of 435, 932, 745, 850
• LCM of 487, 574, 709, 980

1. What is the LCM of 782, 752, 136, 924?

Answer: LCM of 782, 752, 136, 924 is 67921392.

2. How to calculate the LCM of 782, 752, 136, 924?

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, 752, 136, 924.

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}.