Given numbers are 289,975,537,552,920

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

The LCM of 289,975,537,552,920 is 9280541400.

Find LCM of 289,975,537,552,920 with Prime Factorization

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

2 x 2 x 2 x 3 x 5 x 23 x 289 x 65 x 179 x 1 x 1 = 9280541400

Therefore, the lowest common multiple of 289,975,537,552,920 is 9280541400.

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.

289 x 975 x 537 x 552 x 920 = 76842882792000

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.

289 : 1, 17, 289

975 : 1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975

537 : 1, 3, 179, 537

552 : 1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 184, 276, 552

920 : 1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 289,975,537,552,920, is 1.

Now, the common factors can be found like this.

289:17x 17

975:3x 5x 5x 13

537:3x 179

552:2x 2x 2x 3x 23

920:2x 2x 2x 5x 23

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 3x 3x 5x 23 = 8280

Therefore, the value for common factors is 8280.

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 = 76842882792000/(1x8280)

LCM = 76842882792000/8280

LCM = 9280541400

Thus, we can understand that the LCM of 289,975,537,552,920 is 9280541400.

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

• LCM of 909, 191, 706, 737, 557
• LCM of 450, 739, 985, 237, 921
• LCM of 259, 802, 172, 103, 931
• LCM of 461, 578, 325, 405, 791
• LCM of 822, 234, 302, 307, 690

1. What is the LCM of 289, 975, 537, 552, 920?

Answer: LCM of 289, 975, 537, 552, 920 is 9280541400.

2. How to calculate the LCM of 289, 975, 537, 552, 920?

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 289, 975, 537, 552, 920.

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}.