Given numbers are 909,134,918,984,624

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

The LCM of 909,134,918,984,624 is 26488419984.

Find LCM of 909,134,918,984,624 with Prime Factorization

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

2 x 2 x 2 x 3 x 3 x 101 x 67 x 51 x 41 x 26 = 26488419984

Therefore, the lowest common multiple of 909,134,918,984,624 is 26488419984.

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.

909 x 134 x 918 x 984 x 624 = 68657984598528

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.

909 : 1, 3, 9, 101, 303, 909

134 : 1, 2, 67, 134

918 : 1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918

984 : 1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984

624 : 1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 909,134,918,984,624, is 1.

Now, the common factors can be found like this.

909:3x 3x 101

134:2x 67

918:2x 3x 3x 3x 17

984:2x 2x 2x 3x 41

624:2x 2x 2x 2x 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 2x 2x 2x 3x 3x 3x 3 = 2592

Therefore, the value for common factors is 2592.

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 = 68657984598528/(1x2592)

LCM = 68657984598528/2592

LCM = 26488419984

Thus, we can understand that the LCM of 909,134,918,984,624 is 26488419984.

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

• LCM of 993, 897, 304, 805, 453
• LCM of 133, 314, 438, 605, 589
• LCM of 479, 594, 739, 312, 773
• LCM of 590, 680, 565, 969, 424
• LCM of 116, 166, 972, 269, 105

1. What is the LCM of 909, 134, 918, 984, 624?

Answer: LCM of 909, 134, 918, 984, 624 is 26488419984.

2. How to calculate the LCM of 909, 134, 918, 984, 624?

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 909, 134, 918, 984, 624.

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}.