Given numbers are 714,782,442,232,513

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

The LCM of 714,782,442,232,513 is 4234708296.

Find LCM of 714,782,442,232,513 with Prime Factorization

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

2 x 3 x 17 x 7 x 23 x 13 x 116 x 171 = 4234708296

Therefore, the lowest common multiple of 714,782,442,232,513 is 4234708296.

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.

714 x 782 x 442 x 232 x 513 = 29371936741056

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.

714 : 1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714

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

442 : 1, 2, 13, 17, 26, 34, 221, 442

232 : 1, 2, 4, 8, 29, 58, 116, 232

513 : 1, 3, 9, 19, 27, 57, 171, 513

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 714,782,442,232,513, is 1.

Now, the common factors can be found like this.

714:2x 3x 7x 17

782:2x 17x 23

442:2x 13x 17

232:2x 2x 2x 29

513:3x 3x 3x 19

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 17x 17 = 6936

Therefore, the value for common factors is 6936.

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 = 29371936741056/(1x6936)

LCM = 29371936741056/6936

LCM = 4234708296

Thus, we can understand that the LCM of 714,782,442,232,513 is 4234708296.

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

• LCM of 434, 480, 312, 371, 787
• LCM of 906, 900, 224, 149, 381
• LCM of 630, 493, 959, 693, 429
• LCM of 569, 334, 946, 914, 389
• LCM of 616, 158, 689, 225, 165

1. What is the LCM of 714, 782, 442, 232, 513?

Answer: LCM of 714, 782, 442, 232, 513 is 4234708296.

2. How to calculate the LCM of 714, 782, 442, 232, 513?

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 714, 782, 442, 232, 513.

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}.