Given numbers are 364,112,980,306,599

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

The LCM of 364,112,980,306,599 is 4670331120.

Find LCM of 364,112,980,306,599 with Prime Factorization

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

2 x 2 x 7 x 13 x 4 x 35 x 153 x 599 = 4670331120

Therefore, the lowest common multiple of 364,112,980,306,599 is 4670331120.

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 112 x 980 x 306 x 599 = 7323079196160

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

112 : 1, 2, 4, 7, 8, 14, 16, 28, 56, 112

980 : 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 49, 70, 98, 140, 196, 245, 490, 980

306 : 1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306

599 : 1, 599

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 364,112,980,306,599, is 1.

Now, the common factors can be found like this.

364:2x 2x 7x 13

112:2x 2x 2x 2x 7

980:2x 2x 5x 7x 7

306:2x 3x 3x 17

599:599

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 2x 7x 7 = 1568

Therefore, the value for common factors is 1568.

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 = 7323079196160/(1x1568)

LCM = 7323079196160/1568

LCM = 4670331120

Thus, we can understand that the LCM of 364,112,980,306,599 is 4670331120.

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

• LCM of 896, 552, 252, 984, 498
• LCM of 786, 675, 346, 606, 556
• LCM of 634, 639, 931, 330, 932
• LCM of 196, 370, 669, 802, 368
• LCM of 431, 483, 643, 949, 398

1. What is the LCM of 364, 112, 980, 306, 599?

Answer: LCM of 364, 112, 980, 306, 599 is 4670331120.

2. How to calculate the LCM of 364, 112, 980, 306, 599?

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, 112, 980, 306, 599.

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}.