Given numbers are 367,115,207,538,874

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

The LCM of 367,115,207,538,874 is 3882775590.

Find LCM of 367,115,207,538,874 with Prime Factorization

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

2 x 23 x 367 x 5 x 9 x 269 x 19 = 3882775590

Therefore, the lowest common multiple of 367,115,207,538,874 is 3882775590.

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.

367 x 115 x 207 x 538 x 874 = 4107976574220

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.

367 : 1, 367

115 : 1, 5, 23, 115

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

538 : 1, 2, 269, 538

874 : 1, 2, 19, 23, 38, 46, 437, 874

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 367,115,207,538,874, is 1.

Now, the common factors can be found like this.

367:367

115:5x 23

207:3x 3x 23

538:2x 269

874:2x 19x 23

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

2x 23x 23 = 1058

Therefore, the value for common factors is 1058.

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 = 4107976574220/(1x1058)

LCM = 4107976574220/1058

LCM = 3882775590

Thus, we can understand that the LCM of 367,115,207,538,874 is 3882775590.

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

• LCM of 380, 193, 490, 380, 679
• LCM of 885, 543, 163, 605, 849
• LCM of 603, 780, 892, 480, 193
• LCM of 691, 190, 552, 234, 958
• LCM of 546, 784, 663, 696, 346

1. What is the LCM of 367, 115, 207, 538, 874?

Answer: LCM of 367, 115, 207, 538, 874 is 3882775590.

2. How to calculate the LCM of 367, 115, 207, 538, 874?

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 367, 115, 207, 538, 874.

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}.