Given numbers are 406,507,737,319

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

The LCM of 406,507,737,319 is 151705554.

Find LCM of 406,507,737,319 with Prime Factorization

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

11 x 29 x 14 x 507 x 67 x 1 = 151705554

Therefore, the lowest common multiple of 406,507,737,319 is 151705554.

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.

406 x 507 x 737 x 319 = 48394071726

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.

406 : 1, 2, 7, 14, 29, 58, 203, 406

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

737 : 1, 11, 67, 737

319 : 1, 11, 29, 319

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 406,507,737,319, is 1.

Now, the common factors can be found like this.

406:2x 7x 29

507:3x 13x 13

737:11x 67

319:11x 29

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

11x 29 = 319

Therefore, the value for common factors is 319.

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 = 48394071726/(1x319)

LCM = 48394071726/319

LCM = 151705554

Thus, we can understand that the LCM of 406,507,737,319 is 151705554.

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

• LCM of 172, 968, 885, 345
• LCM of 388, 535, 145, 901
• LCM of 639, 667, 648, 402
• LCM of 665, 758, 970, 197
• LCM of 329, 109, 804, 188

1. What is the LCM of 406, 507, 737, 319?

Answer: LCM of 406, 507, 737, 319 is 151705554.

2. How to calculate the LCM of 406, 507, 737, 319?

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 406, 507, 737, 319.

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}.