Given numbers are 458,509,107,806,354

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

The LCM of 458,509,107,806,354 is 1779284315874.

Find LCM of 458,509,107,806,354 with Prime Factorization

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

2 x 229 x 509 x 107 x 403 x 177 = 1779284315874

Therefore, the lowest common multiple of 458,509,107,806,354 is 1779284315874.

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.

458 x 509 x 107 x 806 x 354 = 7117137263496

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.

458 : 1, 2, 229, 458

509 : 1, 509

107 : 1, 107

806 : 1, 2, 13, 26, 31, 62, 403, 806

354 : 1, 2, 3, 6, 59, 118, 177, 354

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 458,509,107,806,354, is 1.

Now, the common factors can be found like this.

458:2x 229

509:509

107:107

806:2x 13x 31

354:2x 3x 59

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 = 7117137263496/(1x4)

LCM = 7117137263496/4

LCM = 1779284315874

Thus, we can understand that the LCM of 458,509,107,806,354 is 1779284315874.

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

• LCM of 894, 778, 316, 766, 208
• LCM of 828, 232, 147, 988, 166
• LCM of 840, 334, 892, 739, 998
• LCM of 592, 325, 499, 233, 177
• LCM of 845, 700, 645, 309, 227

1. What is the LCM of 458, 509, 107, 806, 354?

Answer: LCM of 458, 509, 107, 806, 354 is 1779284315874.

2. How to calculate the LCM of 458, 509, 107, 806, 354?

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 458, 509, 107, 806, 354.

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}.