Given numbers are 364,674,343,998

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

The LCM of 364,674,343,998 is 2999355268.

Find LCM of 364,674,343,998 with Prime Factorization

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

2 x 7 x 26 x 337 x 49 x 499 = 2999355268

Therefore, the lowest common multiple of 364,674,343,998 is 2999355268.

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.

364 x 674 x 343 x 998 = 83981947504

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.

364 : 1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

674 : 1, 2, 337, 674

343 : 1, 7, 49, 343

998 : 1, 2, 499, 998

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 364,674,343,998, is 1.

Now, the common factors can be found like this.

364:2x 2x 7x 13

674:2x 337

343:7x 7x 7

998:2x 499

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 7 = 28

Therefore, the value for common factors is 28.

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 = 83981947504/(1x28)

LCM = 83981947504/28

LCM = 2999355268

Thus, we can understand that the LCM of 364,674,343,998 is 2999355268.

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

• LCM of 831, 162, 813, 452
• LCM of 148, 457, 123, 715
• LCM of 839, 871, 108, 911
• LCM of 160, 869, 811, 523
• LCM of 131, 394, 266, 450

1. What is the LCM of 364, 674, 343, 998?

Answer: LCM of 364, 674, 343, 998 is 2999355268.

2. How to calculate the LCM of 364, 674, 343, 998?

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 364, 674, 343, 998.

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}.