Given numbers are 354,414,936,920

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

The LCM of 354,414,936,920 is 6350760.

Find LCM of 354,414,936,920 with Prime Factorization

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

2 x 2 x 2 x 3 x 3 x 23 x 59 x 1 x 13 x 5 = 6350760

Therefore, the lowest common multiple of 354,414,936,920 is 6350760.

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 414 x 936 x 920 = 126202302720

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

414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

936 : 1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936

920 : 1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 354,414,936,920, is 2.

Now, the common factors can be found like this.

354:2x 3x 59

414:2x 3x 3x 23

936:2x 2x 2x 3x 3x 13

920:2x 2x 2x 5x 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 2x 3x 3x 3x 23 = 9936

Therefore, the value for common factors is 9936.

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 = 126202302720/(2x9936)

LCM = 126202302720/19872

LCM = 6350760

Thus, we can understand that the LCM of 354,414,936,920 is 6350760.

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

• LCM of 976, 823, 251, 584
• LCM of 311, 533, 822, 161
• LCM of 266, 878, 606, 738
• LCM of 182, 948, 702, 852
• LCM of 601, 551, 919, 940

1. What is the LCM of 354, 414, 936, 920?

Answer: LCM of 354, 414, 936, 920 is 6350760.

2. How to calculate the LCM of 354, 414, 936, 920?

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, 414, 936, 920.

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}.