Given numbers are 261,609,272,474,157

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

The LCM of 261,609,272,474,157 is 6163596432.

Find LCM of 261,609,272,474,157 with Prime Factorization

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

2 x 3 x 29 x 3 x 7 x 136 x 79 x 157 = 6163596432

Therefore, the lowest common multiple of 261,609,272,474,157 is 6163596432.

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.

261 x 609 x 272 x 474 x 157 = 3217397337504

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.

261 : 1, 3, 9, 29, 87, 261

609 : 1, 3, 7, 21, 29, 87, 203, 609

272 : 1, 2, 4, 8, 16, 17, 34, 68, 136, 272

474 : 1, 2, 3, 6, 79, 158, 237, 474

157 : 1, 157

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 261,609,272,474,157, is 1.

Now, the common factors can be found like this.

261:3x 3x 29

609:3x 7x 29

272:2x 2x 2x 2x 17

474:2x 3x 79

157:157

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 3x 3x 29 = 522

Therefore, the value for common factors is 522.

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 = 3217397337504/(1x522)

LCM = 3217397337504/522

LCM = 6163596432

Thus, we can understand that the LCM of 261,609,272,474,157 is 6163596432.

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

• LCM of 724, 768, 415, 980, 579
• LCM of 509, 729, 333, 913, 415
• LCM of 544, 347, 463, 963, 590
• LCM of 552, 301, 431, 385, 700
• LCM of 357, 291, 693, 838, 100

1. What is the LCM of 261, 609, 272, 474, 157?

Answer: LCM of 261, 609, 272, 474, 157 is 6163596432.

2. How to calculate the LCM of 261, 609, 272, 474, 157?

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 261, 609, 272, 474, 157.

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}.