Given numbers are 587,420,313,970

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

The LCM of 587,420,313,970 is 7485200940.

Find LCM of 587,420,313,970 with Prime Factorization

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

2 x 5 x 587 x 42 x 313 x 97 = 7485200940

Therefore, the lowest common multiple of 587,420,313,970 is 7485200940.

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.

587 x 420 x 313 x 970 = 74852009400

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.

587 : 1, 587

420 : 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

313 : 1, 313

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 587,420,313,970, is 1.

Now, the common factors can be found like this.

587:587

420:2x 2x 3x 5x 7

313:313

970:2x 5x 97

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 5 = 10

Therefore, the value for common factors is 10.

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 = 74852009400/(1x10)

LCM = 74852009400/10

LCM = 7485200940

Thus, we can understand that the LCM of 587,420,313,970 is 7485200940.

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

• LCM of 921, 806, 863, 253
• LCM of 822, 275, 162, 534
• LCM of 123, 525, 914, 442
• LCM of 453, 302, 637, 523
• LCM of 744, 973, 913, 572

1. What is the LCM of 587, 420, 313, 970?

Answer: LCM of 587, 420, 313, 970 is 7485200940.

2. How to calculate the LCM of 587, 420, 313, 970?

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 587, 420, 313, 970.

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}.