Given numbers are 513,680,158,658,409

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

The LCM of 513,680,158,658,409 is 3708280479960.

Find LCM of 513,680,158,658,409 with Prime Factorization

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

2 x 513 x 340 x 79 x 329 x 409 = 3708280479960

Therefore, the lowest common multiple of 513,680,158,658,409 is 3708280479960.

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.

513 x 680 x 158 x 658 x 409 = 14833121919840

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.

513 : 1, 3, 9, 19, 27, 57, 171, 513

680 : 1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680

158 : 1, 2, 79, 158

658 : 1, 2, 7, 14, 47, 94, 329, 658

409 : 1, 409

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 513,680,158,658,409, is 1.

Now, the common factors can be found like this.

513:3x 3x 3x 19

680:2x 2x 2x 5x 17

158:2x 79

658:2x 7x 47

409:409

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 14833121919840/(1x4)

LCM = 14833121919840/4

LCM = 3708280479960

Thus, we can understand that the LCM of 513,680,158,658,409 is 3708280479960.

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

• LCM of 802, 981, 995, 146, 160
• LCM of 134, 201, 549, 413, 595
• LCM of 119, 186, 549, 863, 399
• LCM of 971, 192, 566, 921, 100
• LCM of 395, 966, 775, 291, 175

1. What is the LCM of 513, 680, 158, 658, 409?

Answer: LCM of 513, 680, 158, 658, 409 is 3708280479960.

2. How to calculate the LCM of 513, 680, 158, 658, 409?

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 513, 680, 158, 658, 409.

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}.