Given numbers are 335,774,975,516,408

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

The LCM of 335,774,975,516,408 is 1146061800.

Find LCM of 335,774,975,516,408 with Prime Factorization

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

2 x 2 x 3 x 5 x 43 x 67 x 1 x 65 x 3 x 34 = 1146061800

Therefore, the lowest common multiple of 335,774,975,516,408 is 1146061800.

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.

335 x 774 x 975 x 516 x 408 = 53223109992000

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.

335 : 1, 5, 67, 335

774 : 1, 2, 3, 6, 9, 18, 43, 86, 129, 258, 387, 774

975 : 1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975

516 : 1, 2, 3, 4, 6, 12, 43, 86, 129, 172, 258, 516

408 : 1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 335,774,975,516,408, is 1.

Now, the common factors can be found like this.

335:5x 67

774:2x 3x 3x 43

975:3x 5x 5x 13

516:2x 2x 3x 43

408:2x 2x 2x 3x 17

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 3x 5x 43 = 46440

Therefore, the value for common factors is 46440.

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 = 53223109992000/(1x46440)

LCM = 53223109992000/46440

LCM = 1146061800

Thus, we can understand that the LCM of 335,774,975,516,408 is 1146061800.

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

• LCM of 934, 971, 914, 383, 253
• LCM of 582, 190, 440, 634, 623
• LCM of 334, 323, 806, 454, 311
• LCM of 158, 622, 834, 145, 825
• LCM of 269, 469, 870, 174, 755

1. What is the LCM of 335, 774, 975, 516, 408?

Answer: LCM of 335, 774, 975, 516, 408 is 1146061800.

2. How to calculate the LCM of 335, 774, 975, 516, 408?

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 335, 774, 975, 516, 408.

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}.