Given numbers are 402,596,623,290,316

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

The LCM of 402,596,623,290,316 is 854919961140.

Find LCM of 402,596,623,290,316 with Prime Factorization

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

2 x 2 x 201 x 149 x 623 x 145 x 79 = 854919961140

Therefore, the lowest common multiple of 402,596,623,290,316 is 854919961140.

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.

402 x 596 x 623 x 290 x 316 = 13678719378240

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.

402 : 1, 2, 3, 6, 67, 134, 201, 402

596 : 1, 2, 4, 149, 298, 596

623 : 1, 7, 89, 623

290 : 1, 2, 5, 10, 29, 58, 145, 290

316 : 1, 2, 4, 79, 158, 316

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 402,596,623,290,316, is 1.

Now, the common factors can be found like this.

402:2x 3x 67

596:2x 2x 149

623:7x 89

290:2x 5x 29

316:2x 2x 79

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 = 13678719378240/(1x16)

LCM = 13678719378240/16

LCM = 854919961140

Thus, we can understand that the LCM of 402,596,623,290,316 is 854919961140.

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

• LCM of 934, 807, 938, 572, 464
• LCM of 600, 455, 182, 117, 320
• LCM of 604, 370, 211, 669, 170
• LCM of 269, 753, 696, 664, 619
• LCM of 268, 758, 588, 812, 376

1. What is the LCM of 402, 596, 623, 290, 316?

Answer: LCM of 402, 596, 623, 290, 316 is 854919961140.

2. How to calculate the LCM of 402, 596, 623, 290, 316?

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 402, 596, 623, 290, 316.

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}.