Given numbers are 465,455,936,988

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

The LCM of 465,455,936,988 is 19295640.

Find LCM of 465,455,936,988 with Prime Factorization

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

2 x 2 x 3 x 5 x 13 x 31 x 7 x 6 x 19 = 19295640

Therefore, the lowest common multiple of 465,455,936,988 is 19295640.

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.

465 x 455 x 936 x 988 = 195657789600

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.

465 : 1, 3, 5, 15, 31, 93, 155, 465

455 : 1, 5, 7, 13, 35, 65, 91, 455

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

988 : 1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 465,455,936,988, is 1.

Now, the common factors can be found like this.

465:3x 5x 31

455:5x 7x 13

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

988:2x 2x 13x 19

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 5x 13x 13 = 10140

Therefore, the value for common factors is 10140.

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 = 195657789600/(1x10140)

LCM = 195657789600/10140

LCM = 19295640

Thus, we can understand that the LCM of 465,455,936,988 is 19295640.

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

• LCM of 788, 864, 566, 589
• LCM of 222, 889, 177, 676
• LCM of 113, 385, 793, 948
• LCM of 727, 133, 762, 165
• LCM of 308, 962, 528, 704

1. What is the LCM of 465, 455, 936, 988?

Answer: LCM of 465, 455, 936, 988 is 19295640.

2. How to calculate the LCM of 465, 455, 936, 988?

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 465, 455, 936, 988.

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}.