Given numbers are 442,724,706,678

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

The LCM of 442,724,706,678 is 19147198668.

Find LCM of 442,724,706,678 with Prime Factorization

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

2 x 221 x 362 x 353 x 339 = 19147198668

Therefore, the lowest common multiple of 442,724,706,678 is 19147198668.

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.

442 x 724 x 706 x 678 = 153177589344

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.

442 : 1, 2, 13, 17, 26, 34, 221, 442

724 : 1, 2, 4, 181, 362, 724

706 : 1, 2, 353, 706

678 : 1, 2, 3, 6, 113, 226, 339, 678

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 442,724,706,678, is 2.

Now, the common factors can be found like this.

442:2x 13x 17

724:2x 2x 181

706:2x 353

678:2x 3x 113

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 = 153177589344/(2x4)

LCM = 153177589344/8

LCM = 19147198668

Thus, we can understand that the LCM of 442,724,706,678 is 19147198668.

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

• LCM of 820, 871, 226, 905
• LCM of 203, 144, 284, 269
• LCM of 351, 518, 971, 221
• LCM of 893, 688, 507, 851
• LCM of 293, 259, 965, 447

1. What is the LCM of 442, 724, 706, 678?

Answer: LCM of 442, 724, 706, 678 is 19147198668.

2. How to calculate the LCM of 442, 724, 706, 678?

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 442, 724, 706, 678.

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}.