Given numbers are 288,688,208,220

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

The LCM of 288,688,208,220 is 8854560.

Find LCM of 288,688,208,220 with Prime Factorization

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

2 x 2 x 2 x 2 x 18 x 43 x 13 x 55 = 8854560

Therefore, the lowest common multiple of 288,688,208,220 is 8854560.

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.

288 x 688 x 208 x 220 = 9067069440

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.

288 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288

688 : 1, 2, 4, 8, 16, 43, 86, 172, 344, 688

208 : 1, 2, 4, 8, 13, 16, 26, 52, 104, 208

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

4 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 288,688,208,220, is 4.

Now, the common factors can be found like this.

288:2x 2x 2x 2x 2x 3x 3

688:2x 2x 2x 2x 43

208:2x 2x 2x 2x 13

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 2x 2x 2x 2x 2 = 256

Therefore, the value for common factors is 256.

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 = 9067069440/(4x256)

LCM = 9067069440/1024

LCM = 8854560

Thus, we can understand that the LCM of 288,688,208,220 is 8854560.

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

• LCM of 987, 857, 459, 689
• LCM of 591, 576, 612, 660
• LCM of 697, 757, 179, 334
• LCM of 145, 571, 910, 644
• LCM of 919, 309, 846, 773

1. What is the LCM of 288, 688, 208, 220?

Answer: LCM of 288, 688, 208, 220 is 8854560.

2. How to calculate the LCM of 288, 688, 208, 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 288, 688, 208, 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}.