Given numbers are 217,250,607,742

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

The LCM of 217,250,607,742 is 1745276750.

Find LCM of 217,250,607,742 with Prime Factorization

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

2 x 7 x 31 x 125 x 607 x 53 = 1745276750

Therefore, the lowest common multiple of 217,250,607,742 is 1745276750.

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.

217 x 250 x 607 x 742 = 24433874500

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.

217 : 1, 7, 31, 217

250 : 1, 2, 5, 10, 25, 50, 125, 250

607 : 1, 607

742 : 1, 2, 7, 14, 53, 106, 371, 742

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 217,250,607,742, is 1.

Now, the common factors can be found like this.

217:7x 31

250:2x 5x 5x 5

607:607

742:2x 7x 53

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

2x 7 = 14

Therefore, the value for common factors is 14.

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 = 24433874500/(1x14)

LCM = 24433874500/14

LCM = 1745276750

Thus, we can understand that the LCM of 217,250,607,742 is 1745276750.

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

• LCM of 928, 422, 905, 367
• LCM of 661, 778, 312, 845
• LCM of 389, 793, 255, 169
• LCM of 250, 219, 383, 921
• LCM of 181, 126, 768, 346

1. What is the LCM of 217, 250, 607, 742?

Answer: LCM of 217, 250, 607, 742 is 1745276750.

2. How to calculate the LCM of 217, 250, 607, 742?

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 217, 250, 607, 742.

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}.