Given numbers are 902,404,558,135,117

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

The LCM of 902,404,558,135,117 is 9912808620.

Find LCM of 902,404,558,135,117 with Prime Factorization

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

2 x 3 x 3 x 451 x 202 x 31 x 15 x 13 = 9912808620

Therefore, the lowest common multiple of 902,404,558,135,117 is 9912808620.

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.

902 x 404 x 558 x 135 x 117 = 3211749992880

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.

902 : 1, 2, 11, 22, 41, 82, 451, 902

404 : 1, 2, 4, 101, 202, 404

558 : 1, 2, 3, 6, 9, 18, 31, 62, 93, 186, 279, 558

135 : 1, 3, 5, 9, 15, 27, 45, 135

117 : 1, 3, 9, 13, 39, 117

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 902,404,558,135,117, is 1.

Now, the common factors can be found like this.

902:2x 11x 41

404:2x 2x 101

558:2x 3x 3x 31

135:3x 3x 3x 5

117:3x 3x 13

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 3x 3 = 324

Therefore, the value for common factors is 324.

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 = 3211749992880/(1x324)

LCM = 3211749992880/324

LCM = 9912808620

Thus, we can understand that the LCM of 902,404,558,135,117 is 9912808620.

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

• LCM of 698, 696, 981, 530, 835
• LCM of 615, 216, 296, 412, 392
• LCM of 968, 372, 512, 531, 683
• LCM of 113, 416, 974, 914, 700
• LCM of 103, 968, 490, 946, 645

1. What is the LCM of 902, 404, 558, 135, 117?

Answer: LCM of 902, 404, 558, 135, 117 is 9912808620.

2. How to calculate the LCM of 902, 404, 558, 135, 117?

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 902, 404, 558, 135, 117.

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}.