Given numbers are 310,689,630,298,220

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

The LCM of 310,689,630,298,220 is 44109325260.

Find LCM of 310,689,630,298,220 with Prime Factorization

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

2 x 5 x 31 x 689 x 63 x 149 x 22 = 44109325260

Therefore, the lowest common multiple of 310,689,630,298,220 is 44109325260.

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.

310 x 689 x 630 x 298 x 220 = 8821865052000

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.

310 : 1, 2, 5, 10, 31, 62, 155, 310

689 : 1, 13, 53, 689

630 : 1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 30, 35, 42, 45, 63, 70, 90, 105, 126, 210, 315, 630

298 : 1, 2, 149, 298

220 : 1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 310,689,630,298,220, is 1.

Now, the common factors can be found like this.

310:2x 5x 31

689:13x 53

630:2x 3x 3x 5x 7

298:2x 149

220:2x 2x 5x 11

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 5x 5 = 200

Therefore, the value for common factors is 200.

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 = 8821865052000/(1x200)

LCM = 8821865052000/200

LCM = 44109325260

Thus, we can understand that the LCM of 310,689,630,298,220 is 44109325260.

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

• LCM of 899, 559, 536, 849, 839
• LCM of 171, 884, 164, 625, 704
• LCM of 256, 866, 559, 229, 284
• LCM of 126, 175, 542, 712, 678
• LCM of 850, 877, 987, 361, 943

1. What is the LCM of 310, 689, 630, 298, 220?

Answer: LCM of 310, 689, 630, 298, 220 is 44109325260.

2. How to calculate the LCM of 310, 689, 630, 298, 220?

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 310, 689, 630, 298, 220.

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}.