Given numbers are 354,621,971,413

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

The LCM of 354,621,971,413 is 498070566.

Find LCM of 354,621,971,413 with Prime Factorization

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

3 x 59 x 2 x 207 x 971 x 7 = 498070566

Therefore, the lowest common multiple of 354,621,971,413 is 498070566.

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 621 x 971 x 413 = 88158490182

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

621 : 1, 3, 9, 23, 27, 69, 207, 621

971 : 1, 971

413 : 1, 7, 59, 413

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 354,621,971,413, is 1.

Now, the common factors can be found like this.

354:2x 3x 59

621:3x 3x 3x 23

971:971

413:7x 59

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

3x 59 = 177

Therefore, the value for common factors is 177.

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 = 88158490182/(1x177)

LCM = 88158490182/177

LCM = 498070566

Thus, we can understand that the LCM of 354,621,971,413 is 498070566.

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

• LCM of 562, 413, 545, 342
• LCM of 568, 420, 253, 739
• LCM of 182, 575, 346, 323
• LCM of 512, 649, 778, 142
• LCM of 196, 278, 135, 438

1. What is the LCM of 354, 621, 971, 413?

Answer: LCM of 354, 621, 971, 413 is 498070566.

2. How to calculate the LCM of 354, 621, 971, 413?

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, 621, 971, 413.

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}.