Given numbers are 573,528,616,234,438

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

The LCM of 573,528,616,234,438 is 2009799792.

Find LCM of 573,528,616,234,438 with Prime Factorization

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

2 x 2 x 2 x 3 x 11 x 191 x 2 x 7 x 39 x 73 = 2009799792

Therefore, the lowest common multiple of 573,528,616,234,438 is 2009799792.

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.

573 x 528 x 616 x 234 x 438 = 19101137223168

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.

573 : 1, 3, 191, 573

528 : 1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528

616 : 1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616

234 : 1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234

438 : 1, 2, 3, 6, 73, 146, 219, 438

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 573,528,616,234,438, is 1.

Now, the common factors can be found like this.

573:3x 191

528:2x 2x 2x 2x 3x 11

616:2x 2x 2x 7x 11

234:2x 3x 3x 13

438:2x 3x 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 2x 2x 2x 2x 3x 3x 3x 11 = 9504

Therefore, the value for common factors is 9504.

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 = 19101137223168/(1x9504)

LCM = 19101137223168/9504

LCM = 2009799792

Thus, we can understand that the LCM of 573,528,616,234,438 is 2009799792.

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

• LCM of 626, 245, 239, 142, 808
• LCM of 629, 104, 841, 320, 180
• LCM of 663, 500, 435, 510, 999
• LCM of 660, 568, 814, 789, 550
• LCM of 628, 889, 273, 858, 318

1. What is the LCM of 573, 528, 616, 234, 438?

Answer: LCM of 573, 528, 616, 234, 438 is 2009799792.

2. How to calculate the LCM of 573, 528, 616, 234, 438?

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 573, 528, 616, 234, 438.

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}.