Given numbers are 560,316,970,313,340

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

The LCM of 560,316,970,313,340 is 22833900880.

Find LCM of 560,316,970,313,340 with Prime Factorization

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

2 x 2 x 5 x 28 x 79 x 97 x 313 x 17 = 22833900880

Therefore, the lowest common multiple of 560,316,970,313,340 is 22833900880.

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 316 x 970 x 313 x 340 = 18267120704000

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

316 : 1, 2, 4, 79, 158, 316

970 : 1, 2, 5, 10, 97, 194, 485, 970

313 : 1, 313

340 : 1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 560,316,970,313,340, is 1.

Now, the common factors can be found like this.

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

316:2x 2x 79

970:2x 5x 97

313:313

340:2x 2x 5x 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 5 = 800

Therefore, the value for common factors is 800.

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 = 18267120704000/(1x800)

LCM = 18267120704000/800

LCM = 22833900880

Thus, we can understand that the LCM of 560,316,970,313,340 is 22833900880.

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

• LCM of 450, 932, 285, 788, 741
• LCM of 148, 656, 325, 952, 824
• LCM of 565, 301, 791, 815, 188
• LCM of 454, 816, 786, 574, 145
• LCM of 472, 281, 540, 777, 904

1. What is the LCM of 560, 316, 970, 313, 340?

Answer: LCM of 560, 316, 970, 313, 340 is 22833900880.

2. How to calculate the LCM of 560, 316, 970, 313, 340?

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, 316, 970, 313, 340.

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}.