Given numbers are 440,616,290,688,274

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

The LCM of 440,616,290,688,274 is 1052368240.

Find LCM of 440,616,290,688,274 with Prime Factorization

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

2 x 2 x 2 x 5 x 11 x 1 x 7 x 29 x 86 x 137 = 1052368240

Therefore, the lowest common multiple of 440,616,290,688,274 is 1052368240.

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.

440 x 616 x 290 x 688 x 274 = 14817344819200

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.

440 : 1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440

616 : 1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616

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

688 : 1, 2, 4, 8, 16, 43, 86, 172, 344, 688

274 : 1, 2, 137, 274

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 440,616,290,688,274, is 2.

Now, the common factors can be found like this.

440:2x 2x 2x 5x 11

616:2x 2x 2x 7x 11

290:2x 5x 29

688:2x 2x 2x 2x 43

274:2x 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 2x 2x 2x 2x 5x 11 = 7040

Therefore, the value for common factors is 7040.

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 = 14817344819200/(2x7040)

LCM = 14817344819200/14080

LCM = 1052368240

Thus, we can understand that the LCM of 440,616,290,688,274 is 1052368240.

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

• LCM of 609, 349, 797, 654, 558
• LCM of 334, 294, 658, 676, 772
• LCM of 784, 645, 468, 783, 648
• LCM of 903, 281, 368, 619, 174
• LCM of 226, 201, 407, 605, 460

1. What is the LCM of 440, 616, 290, 688, 274?

Answer: LCM of 440, 616, 290, 688, 274 is 1052368240.

2. How to calculate the LCM of 440, 616, 290, 688, 274?

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 440, 616, 290, 688, 274.

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}.