Given numbers are 867,268,896,350,588

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

The LCM of 867,268,896,350,588 is 9108355200.

Find LCM of 867,268,896,350,588 with Prime Factorization

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

2 x 2 x 3 x 7 x 289 x 67 x 32 x 25 x 7 = 9108355200

Therefore, the lowest common multiple of 867,268,896,350,588 is 9108355200.

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.

867 x 268 x 896 x 350 x 588 = 42845702860800

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.

867 : 1, 3, 17, 51, 289, 867

268 : 1, 2, 4, 67, 134, 268

896 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 128, 224, 448, 896

350 : 1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350

588 : 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 867,268,896,350,588, is 1.

Now, the common factors can be found like this.

867:3x 17x 17

268:2x 2x 67

896:2x 2x 2x 2x 2x 2x 2x 7

350:2x 5x 5x 7

588:2x 2x 3x 7x 7

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 3x 7x 7 = 4704

Therefore, the value for common factors is 4704.

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 = 42845702860800/(1x4704)

LCM = 42845702860800/4704

LCM = 9108355200

Thus, we can understand that the LCM of 867,268,896,350,588 is 9108355200.

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

• LCM of 330, 150, 331, 969, 310
• LCM of 810, 170, 728, 947, 223
• LCM of 705, 646, 887, 945, 561
• LCM of 659, 931, 264, 800, 931
• LCM of 209, 116, 484, 565, 336

1. What is the LCM of 867, 268, 896, 350, 588?

Answer: LCM of 867, 268, 896, 350, 588 is 9108355200.

2. How to calculate the LCM of 867, 268, 896, 350, 588?

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 867, 268, 896, 350, 588.

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}.