Given numbers are 507,214,471,321,553

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

The LCM of 507,214,471,321,553 is 9419904858.

Find LCM of 507,214,471,321,553 with Prime Factorization

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

3 x 107 x 169 x 2 x 157 x 1 x 553 = 9419904858

Therefore, the lowest common multiple of 507,214,471,321,553 is 9419904858.

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.

507 x 214 x 471 x 321 x 553 = 9071368378254

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.

507 : 1, 3, 13, 39, 169, 507

214 : 1, 2, 107, 214

471 : 1, 3, 157, 471

321 : 1, 3, 107, 321

553 : 1, 7, 79, 553

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 507,214,471,321,553, is 1.

Now, the common factors can be found like this.

507:3x 13x 13

214:2x 107

471:3x 157

321:3x 107

553:7x 79

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

3x 3x 107 = 963

Therefore, the value for common factors is 963.

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 = 9071368378254/(1x963)

LCM = 9071368378254/963

LCM = 9419904858

Thus, we can understand that the LCM of 507,214,471,321,553 is 9419904858.

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

• LCM of 347, 145, 839, 778, 897
• LCM of 232, 112, 537, 346, 824
• LCM of 684, 393, 280, 361, 753
• LCM of 742, 759, 320, 505, 952
• LCM of 975, 428, 435, 984, 522

1. What is the LCM of 507, 214, 471, 321, 553?

Answer: LCM of 507, 214, 471, 321, 553 is 9419904858.

2. How to calculate the LCM of 507, 214, 471, 321, 553?

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 507, 214, 471, 321, 553.

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}.