Given numbers are 354,624,962,828

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

The LCM of 354,624,962,828 is 93991248.

Find LCM of 354,624,962,828 with Prime Factorization

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

2 x 2 x 3 x 13 x 59 x 4 x 37 x 69 = 93991248

Therefore, the lowest common multiple of 354,624,962,828 is 93991248.

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.

354 x 624 x 962 x 828 = 175951616256

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.

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

624 : 1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624

962 : 1, 2, 13, 26, 37, 74, 481, 962

828 : 1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 354,624,962,828, is 2.

Now, the common factors can be found like this.

354:2x 3x 59

624:2x 2x 2x 2x 3x 13

962:2x 13x 37

828:2x 2x 3x 3x 23

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 3x 3x 13 = 936

Therefore, the value for common factors is 936.

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 = 175951616256/(2x936)

LCM = 175951616256/1872

LCM = 93991248

Thus, we can understand that the LCM of 354,624,962,828 is 93991248.

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

• LCM of 558, 528, 445, 362
• LCM of 889, 965, 671, 955
• LCM of 949, 684, 261, 595
• LCM of 654, 308, 421, 805
• LCM of 877, 350, 760, 184

1. What is the LCM of 354, 624, 962, 828?

Answer: LCM of 354, 624, 962, 828 is 93991248.

2. How to calculate the LCM of 354, 624, 962, 828?

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 354, 624, 962, 828.

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}.