Given numbers are 217,153,114,584

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

The LCM of 217,153,114,584 is 368398296.

Find LCM of 217,153,114,584 with Prime Factorization

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

2 x 3 x 217 x 51 x 19 x 292 = 368398296

Therefore, the lowest common multiple of 217,153,114,584 is 368398296.

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 153 x 114 x 584 = 2210389776

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

153 : 1, 3, 9, 17, 51, 153

114 : 1, 2, 3, 6, 19, 38, 57, 114

584 : 1, 2, 4, 8, 73, 146, 292, 584

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 217,153,114,584, is 1.

Now, the common factors can be found like this.

217:7x 31

153:3x 3x 17

114:2x 3x 19

584:2x 2x 2x 73

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

2x 3 = 6

Therefore, the value for common factors is 6.

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 = 2210389776/(1x6)

LCM = 2210389776/6

LCM = 368398296

Thus, we can understand that the LCM of 217,153,114,584 is 368398296.

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

• LCM of 418, 471, 920, 881
• LCM of 542, 327, 238, 237
• LCM of 390, 406, 178, 879
• LCM of 384, 664, 717, 144
• LCM of 386, 489, 783, 999

1. What is the LCM of 217, 153, 114, 584?

Answer: LCM of 217, 153, 114, 584 is 368398296.

2. How to calculate the LCM of 217, 153, 114, 584?

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, 153, 114, 584.

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}.