Given numbers are 560,196,331,210,920

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

The LCM of 560,196,331,210,920 is 89528880.

Find LCM of 560,196,331,210,920 with Prime Factorization

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

2 x 2 x 2 x 5 x 7 x 2 x 7 x 331 x 3 x 23 = 89528880

Therefore, the lowest common multiple of 560,196,331,210,920 is 89528880.

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.

560 x 196 x 331 x 210 x 920 = 7019064192000

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.

560 : 1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560

196 : 1, 2, 4, 7, 14, 28, 49, 98, 196

331 : 1, 331

210 : 1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210

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 560,196,331,210,920, is 1.

Now, the common factors can be found like this.

560:2x 2x 2x 2x 5x 7

196:2x 2x 7x 7

331:331

210:2x 3x 5x 7

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 2x 2x 2x 5x 5x 7x 7 = 78400

Therefore, the value for common factors is 78400.

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 = 7019064192000/(1x78400)

LCM = 7019064192000/78400

LCM = 89528880

Thus, we can understand that the LCM of 560,196,331,210,920 is 89528880.

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

• LCM of 586, 945, 456, 595, 251
• LCM of 550, 520, 703, 224, 358
• LCM of 479, 134, 514, 502, 841
• LCM of 185, 868, 858, 421, 223
• LCM of 645, 742, 120, 280, 517

1. What is the LCM of 560, 196, 331, 210, 920?

Answer: LCM of 560, 196, 331, 210, 920 is 89528880.

2. How to calculate the LCM of 560, 196, 331, 210, 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 560, 196, 331, 210, 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}.