Given numbers are 260,578,780,334,272

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

The LCM of 260,578,780,334,272 is 150580560.

Find LCM of 260,578,780,334,272 with Prime Factorization

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

2 x 2 x 5 x 13 x 17 x 1 x 17 x 3 x 167 x 4 = 150580560

Therefore, the lowest common multiple of 260,578,780,334,272 is 150580560.

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.

260 x 578 x 780 x 334 x 272 = 10649057203200

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.

260 : 1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260

578 : 1, 2, 17, 34, 289, 578

780 : 1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780

334 : 1, 2, 167, 334

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

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 260,578,780,334,272, is 2.

Now, the common factors can be found like this.

260:2x 2x 5x 13

578:2x 17x 17

780:2x 2x 3x 5x 13

334:2x 167

272:2x 2x 2x 2x 17

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 5x 13x 17 = 35360

Therefore, the value for common factors is 35360.

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 = 10649057203200/(2x35360)

LCM = 10649057203200/70720

LCM = 150580560

Thus, we can understand that the LCM of 260,578,780,334,272 is 150580560.

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

• LCM of 832, 918, 997, 216, 736
• LCM of 381, 972, 232, 922, 205
• LCM of 577, 599, 547, 157, 518
• LCM of 970, 466, 698, 842, 890
• LCM of 167, 243, 979, 123, 849

1. What is the LCM of 260, 578, 780, 334, 272?

Answer: LCM of 260, 578, 780, 334, 272 is 150580560.

2. How to calculate the LCM of 260, 578, 780, 334, 272?

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 260, 578, 780, 334, 272.

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}.