Given numbers are 438,202,537,600,807

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

The LCM of 438,202,537,600,807 is 213010393800.

Find LCM of 438,202,537,600,807 with Prime Factorization

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

2 x 3 x 73 x 101 x 179 x 100 x 269 = 213010393800

Therefore, the lowest common multiple of 438,202,537,600,807 is 213010393800.

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.

438 x 202 x 537 x 600 x 807 = 23005122530400

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.

438 : 1, 2, 3, 6, 73, 146, 219, 438

202 : 1, 2, 101, 202

537 : 1, 3, 179, 537

600 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600

807 : 1, 3, 269, 807

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 438,202,537,600,807, is 1.

Now, the common factors can be found like this.

438:2x 3x 73

202:2x 101

537:3x 179

600:2x 2x 2x 3x 5x 5

807:3x 269

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 3x 3x 3 = 108

Therefore, the value for common factors is 108.

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 = 23005122530400/(1x108)

LCM = 23005122530400/108

LCM = 213010393800

Thus, we can understand that the LCM of 438,202,537,600,807 is 213010393800.

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

• LCM of 621, 549, 330, 603, 144
• LCM of 126, 971, 336, 218, 475
• LCM of 994, 471, 605, 415, 731
• LCM of 162, 263, 453, 913, 762
• LCM of 606, 906, 623, 112, 482

1. What is the LCM of 438, 202, 537, 600, 807?

Answer: LCM of 438, 202, 537, 600, 807 is 213010393800.

2. How to calculate the LCM of 438, 202, 537, 600, 807?

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 438, 202, 537, 600, 807.

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}.