Given numbers are 290,520,121,260,745

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

The LCM of 290,520,121,260,745 is 271877320.

Find LCM of 290,520,121,260,745 with Prime Factorization

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

2 x 2 x 5 x 13 x 29 x 1 x 121 x 2 x 149 = 271877320

Therefore, the lowest common multiple of 290,520,121,260,745 is 271877320.

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.

290 x 520 x 121 x 260 x 745 = 3534405160000

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.

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

520 : 1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, 520

121 : 1, 11, 121

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

745 : 1, 5, 149, 745

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 290,520,121,260,745, is 1.

Now, the common factors can be found like this.

290:2x 5x 29

520:2x 2x 2x 5x 13

121:11x 11

260:2x 2x 5x 13

745:5x 149

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 5x 5x 5x 13 = 13000

Therefore, the value for common factors is 13000.

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 = 3534405160000/(1x13000)

LCM = 3534405160000/13000

LCM = 271877320

Thus, we can understand that the LCM of 290,520,121,260,745 is 271877320.

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

• LCM of 424, 554, 774, 916, 475
• LCM of 765, 798, 519, 568, 309
• LCM of 606, 981, 131, 745, 928
• LCM of 158, 536, 402, 806, 733
• LCM of 852, 558, 543, 708, 827

1. What is the LCM of 290, 520, 121, 260, 745?

Answer: LCM of 290, 520, 121, 260, 745 is 271877320.

2. How to calculate the LCM of 290, 520, 121, 260, 745?

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 290, 520, 121, 260, 745.

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}.