Given numbers are 434,428,616,683,578

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

The LCM of 434,428,616,683,578 is 403315330264.

Find LCM of 434,428,616,683,578 with Prime Factorization

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

2 x 2 x 7 x 31 x 107 x 22 x 683 x 289 = 403315330264

Therefore, the lowest common multiple of 434,428,616,683,578 is 403315330264.

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.

434 x 428 x 616 x 683 x 578 = 45171316989568

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.

434 : 1, 2, 7, 14, 31, 62, 217, 434

428 : 1, 2, 4, 107, 214, 428

616 : 1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616

683 : 1, 683

578 : 1, 2, 17, 34, 289, 578

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 434,428,616,683,578, is 1.

Now, the common factors can be found like this.

434:2x 7x 31

428:2x 2x 107

616:2x 2x 2x 7x 11

683:683

578:2x 17x 17

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

2x 2x 2x 2x 7 = 112

Therefore, the value for common factors is 112.

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 = 45171316989568/(1x112)

LCM = 45171316989568/112

LCM = 403315330264

Thus, we can understand that the LCM of 434,428,616,683,578 is 403315330264.

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

• LCM of 201, 492, 388, 334, 221
• LCM of 157, 406, 758, 294, 176
• LCM of 340, 952, 963, 309, 397
• LCM of 437, 649, 166, 339, 737
• LCM of 139, 238, 772, 478, 206

1. What is the LCM of 434, 428, 616, 683, 578?

Answer: LCM of 434, 428, 616, 683, 578 is 403315330264.

2. How to calculate the LCM of 434, 428, 616, 683, 578?

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 434, 428, 616, 683, 578.

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}.