Given numbers are 936,900,242,828

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

The LCM of 936,900,242,828 is 65122200.

Find LCM of 936,900,242,828 with Prime Factorization

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

2 x 2 x 3 x 3 x 26 x 25 x 121 x 23 = 65122200

Therefore, the lowest common multiple of 936,900,242,828 is 65122200.

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.

936 x 900 x 242 x 828 = 168796742400

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.

936 : 1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936

900 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900

242 : 1, 2, 11, 22, 121, 242

828 : 1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 936,900,242,828, is 2.

Now, the common factors can be found like this.

936:2x 2x 2x 3x 3x 13

900:2x 2x 3x 3x 5x 5

242:2x 11x 11

828:2x 2x 3x 3x 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 2x 3x 3x 3x 3 = 1296

Therefore, the value for common factors is 1296.

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 = 168796742400/(2x1296)

LCM = 168796742400/2592

LCM = 65122200

Thus, we can understand that the LCM of 936,900,242,828 is 65122200.

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

• LCM of 668, 927, 459, 530
• LCM of 640, 621, 885, 763
• LCM of 632, 342, 384, 169
• LCM of 804, 602, 434, 598
• LCM of 827, 511, 163, 276

1. What is the LCM of 936, 900, 242, 828?

Answer: LCM of 936, 900, 242, 828 is 65122200.

2. How to calculate the LCM of 936, 900, 242, 828?

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 936, 900, 242, 828.

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}.