Given numbers are 468,724,740,677,959

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

The LCM of 468,724,740,677,959 is 10174274068140.

Find LCM of 468,724,740,677,959 with Prime Factorization

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

2 x 2 x 117 x 181 x 185 x 677 x 959 = 10174274068140

Therefore, the lowest common multiple of 468,724,740,677,959 is 10174274068140.

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 724 x 740 x 677 x 959 = 162788385090240

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

724 : 1, 2, 4, 181, 362, 724

740 : 1, 2, 4, 5, 10, 20, 37, 74, 148, 185, 370, 740

677 : 1, 677

959 : 1, 7, 137, 959

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 468,724,740,677,959, is 1.

Now, the common factors can be found like this.

468:2x 2x 3x 3x 13

724:2x 2x 181

740:2x 2x 5x 37

677:677

959:7x 137

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 2 = 16

Therefore, the value for common factors is 16.

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 = 162788385090240/(1x16)

LCM = 162788385090240/16

LCM = 10174274068140

Thus, we can understand that the LCM of 468,724,740,677,959 is 10174274068140.

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

• LCM of 105, 724, 243, 511, 304
• LCM of 259, 394, 547, 869, 728
• LCM of 611, 279, 176, 433, 760
• LCM of 152, 935, 696, 503, 662
• LCM of 139, 922, 211, 432, 887

1. What is the LCM of 468, 724, 740, 677, 959?

Answer: LCM of 468, 724, 740, 677, 959 is 10174274068140.

2. How to calculate the LCM of 468, 724, 740, 677, 959?

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, 724, 740, 677, 959.

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}.