Given numbers are 782,136,527,742

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

The LCM of 782,136,527,742 is 35975128.

Find LCM of 782,136,527,742 with Prime Factorization

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

2 x 17 x 23 x 4 x 31 x 371 = 35975128

Therefore, the lowest common multiple of 782,136,527,742 is 35975128.

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 136 x 527 x 742 = 41587247968

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

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

527 : 1, 17, 31, 527

742 : 1, 2, 7, 14, 53, 106, 371, 742

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 782,136,527,742, is 1.

Now, the common factors can be found like this.

782:2x 17x 23

136:2x 2x 2x 17

527:17x 31

742:2x 7x 53

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 17x 17 = 1156

Therefore, the value for common factors is 1156.

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 = 41587247968/(1x1156)

LCM = 41587247968/1156

LCM = 35975128

Thus, we can understand that the LCM of 782,136,527,742 is 35975128.

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

• LCM of 647, 538, 271, 225
• LCM of 125, 787, 646, 608
• LCM of 814, 477, 222, 797
• LCM of 488, 620, 368, 239
• LCM of 692, 110, 259, 747

1. What is the LCM of 782, 136, 527, 742?

Answer: LCM of 782, 136, 527, 742 is 35975128.

2. How to calculate the LCM of 782, 136, 527, 742?

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, 136, 527, 742.

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}.