Given numbers are 743,208,532,284,398

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

The LCM of 743,208,532,284,398 is 290412439408.

Find LCM of 743,208,532,284,398 with Prime Factorization

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

2 x 2 x 743 x 52 x 133 x 71 x 199 = 290412439408

Therefore, the lowest common multiple of 743,208,532,284,398 is 290412439408.

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.

743 x 208 x 532 x 284 x 398 = 9293198061056

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.

743 : 1, 743

208 : 1, 2, 4, 8, 13, 16, 26, 52, 104, 208

532 : 1, 2, 4, 7, 14, 19, 28, 38, 76, 133, 266, 532

284 : 1, 2, 4, 71, 142, 284

398 : 1, 2, 199, 398

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 743,208,532,284,398, is 1.

Now, the common factors can be found like this.

743:743

208:2x 2x 2x 2x 13

532:2x 2x 7x 19

284:2x 2x 71

398:2x 199

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 2x 2 = 32

Therefore, the value for common factors is 32.

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 = 9293198061056/(1x32)

LCM = 9293198061056/32

LCM = 290412439408

Thus, we can understand that the LCM of 743,208,532,284,398 is 290412439408.

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

• LCM of 119, 288, 105, 614, 186
• LCM of 481, 786, 175, 914, 678
• LCM of 554, 549, 759, 468, 668
• LCM of 924, 947, 918, 523, 152
• LCM of 346, 270, 463, 279, 140

1. What is the LCM of 743, 208, 532, 284, 398?

Answer: LCM of 743, 208, 532, 284, 398 is 290412439408.

2. How to calculate the LCM of 743, 208, 532, 284, 398?

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 743, 208, 532, 284, 398.

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}.