Given numbers are 358,700,266,306,506

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

The LCM of 358,700,266,306,506 is 92154516300.

Find LCM of 358,700,266,306,506 with Prime Factorization

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

2 x 7 x 179 x 50 x 19 x 153 x 253 = 92154516300

Therefore, the lowest common multiple of 358,700,266,306,506 is 92154516300.

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.

358 x 700 x 266 x 306 x 506 = 10321305825600

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.

358 : 1, 2, 179, 358

700 : 1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700

266 : 1, 2, 7, 14, 19, 38, 133, 266

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

506 : 1, 2, 11, 22, 23, 46, 253, 506

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 358,700,266,306,506, is 2.

Now, the common factors can be found like this.

358:2x 179

700:2x 2x 5x 5x 7

266:2x 7x 19

306:2x 3x 3x 17

506:2x 11x 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 2x 2x 7 = 56

Therefore, the value for common factors is 56.

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 = 10321305825600/(2x56)

LCM = 10321305825600/112

LCM = 92154516300

Thus, we can understand that the LCM of 358,700,266,306,506 is 92154516300.

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

• LCM of 275, 488, 989, 936, 289
• LCM of 409, 898, 813, 191, 521
• LCM of 105, 989, 388, 702, 596
• LCM of 105, 766, 471, 238, 722
• LCM of 296, 170, 607, 421, 896

1. What is the LCM of 358, 700, 266, 306, 506?

Answer: LCM of 358, 700, 266, 306, 506 is 92154516300.

2. How to calculate the LCM of 358, 700, 266, 306, 506?

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 358, 700, 266, 306, 506.

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}.