Given numbers are 392,469,385,509

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

The LCM of 392,469,385,509 is 735260680.

Find LCM of 392,469,385,509 with Prime Factorization

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

7 x 56 x 67 x 55 x 509 = 735260680

Therefore, the lowest common multiple of 392,469,385,509 is 735260680.

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.

392 x 469 x 385 x 509 = 36027773320

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.

392 : 1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 392

469 : 1, 7, 67, 469

385 : 1, 5, 7, 11, 35, 55, 77, 385

509 : 1, 509

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 392,469,385,509, is 1.

Now, the common factors can be found like this.

392:2x 2x 2x 7x 7

469:7x 67

385:5x 7x 11

509:509

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

7x 7 = 49

Therefore, the value for common factors is 49.

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 = 36027773320/(1x49)

LCM = 36027773320/49

LCM = 735260680

Thus, we can understand that the LCM of 392,469,385,509 is 735260680.

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

• LCM of 780, 772, 124, 930
• LCM of 296, 140, 977, 151
• LCM of 688, 406, 279, 831
• LCM of 186, 391, 302, 619
• LCM of 161, 139, 227, 229

1. What is the LCM of 392, 469, 385, 509?

Answer: LCM of 392, 469, 385, 509 is 735260680.

2. How to calculate the LCM of 392, 469, 385, 509?

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 392, 469, 385, 509.

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}.