Given numbers are 468,637,528,682

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

The LCM of 468,637,528,682 is 31279248.

Find LCM of 468,637,528,682 with Prime Factorization

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

2 x 2 x 3 x 11 x 13 x 3 x 49 x 4 x 31 = 31279248

Therefore, the lowest common multiple of 468,637,528,682 is 31279248.

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.

468 x 637 x 528 x 682 = 107350379136

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.

468 : 1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468

637 : 1, 7, 13, 49, 91, 637

528 : 1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528

682 : 1, 2, 11, 22, 31, 62, 341, 682

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 468,637,528,682, is 1.

Now, the common factors can be found like this.

468:2x 2x 3x 3x 13

637:7x 7x 13

528:2x 2x 2x 2x 3x 11

682:2x 11x 31

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 11x 13 = 3432

Therefore, the value for common factors is 3432.

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 = 107350379136/(1x3432)

LCM = 107350379136/3432

LCM = 31279248

Thus, we can understand that the LCM of 468,637,528,682 is 31279248.

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

• LCM of 795, 774, 146, 740
• LCM of 898, 301, 435, 196
• LCM of 884, 323, 208, 509
• LCM of 772, 984, 660, 439
• LCM of 952, 838, 999, 411

1. What is the LCM of 468, 637, 528, 682?

Answer: LCM of 468, 637, 528, 682 is 31279248.

2. How to calculate the LCM of 468, 637, 528, 682?

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 468, 637, 528, 682.

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}.