Given numbers are 507,299,690,936

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

The LCM of 507,299,690,936 is 1399320.

Find LCM of 507,299,690,936 with Prime Factorization

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

2 x 3 x 13 x 23 x 13 x 1 x 5 x 12 = 1399320

Therefore, the lowest common multiple of 507,299,690,936 is 1399320.

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 299 x 690 x 936 = 97904823120

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

299 : 1, 13, 23, 299

690 : 1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690

936 : 1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 507,299,690,936, is 1.

Now, the common factors can be found like this.

507:3x 13x 13

299:13x 23

690:2x 3x 5x 23

936:2x 2x 2x 3x 3x 13

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

2x 3x 3x 13x 13x 23 = 69966

Therefore, the value for common factors is 69966.

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 = 97904823120/(1x69966)

LCM = 97904823120/69966

LCM = 1399320

Thus, we can understand that the LCM of 507,299,690,936 is 1399320.

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

• LCM of 622, 431, 745, 792
• LCM of 646, 101, 829, 180
• LCM of 304, 880, 295, 216
• LCM of 801, 745, 739, 905
• LCM of 202, 102, 430, 203

1. What is the LCM of 507, 299, 690, 936?

Answer: LCM of 507, 299, 690, 936 is 1399320.

2. How to calculate the LCM of 507, 299, 690, 936?

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, 299, 690, 936.

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}.