Given numbers are 334,458,108,922,742

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

The LCM of 334,458,108,922,742 is 706399761564.

Find LCM of 334,458,108,922,742 with Prime Factorization

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

2 x 167 x 229 x 54 x 461 x 371 = 706399761564

Therefore, the lowest common multiple of 334,458,108,922,742 is 706399761564.

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.

334 x 458 x 108 x 922 x 742 = 11302396185024

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.

334 : 1, 2, 167, 334

458 : 1, 2, 229, 458

108 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108

922 : 1, 2, 461, 922

742 : 1, 2, 7, 14, 53, 106, 371, 742

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 334,458,108,922,742, is 2.

Now, the common factors can be found like this.

334:2x 167

458:2x 229

108:2x 2x 3x 3x 3

922:2x 461

742:2x 7x 53

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 2 = 8

Therefore, the value for common factors is 8.

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 = 11302396185024/(2x8)

LCM = 11302396185024/16

LCM = 706399761564

Thus, we can understand that the LCM of 334,458,108,922,742 is 706399761564.

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

• LCM of 855, 152, 928, 760, 484
• LCM of 545, 565, 189, 710, 126
• LCM of 100, 100, 915, 344, 946
• LCM of 612, 838, 579, 667, 789
• LCM of 869, 352, 726, 611, 936

1. What is the LCM of 334, 458, 108, 922, 742?

Answer: LCM of 334, 458, 108, 922, 742 is 706399761564.

2. How to calculate the LCM of 334, 458, 108, 922, 742?

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 334, 458, 108, 922, 742.

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}.