Given numbers are 453,748,936,314

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

The LCM of 453,748,936,314 is 4149483624.

Find LCM of 453,748,936,314 with Prime Factorization

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

2 x 2 x 3 x 151 x 187 x 78 x 157 = 4149483624

Therefore, the lowest common multiple of 453,748,936,314 is 4149483624.

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.

453 x 748 x 936 x 314 = 99587606976

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.

453 : 1, 3, 151, 453

748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

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

314 : 1, 2, 157, 314

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 453,748,936,314, is 1.

Now, the common factors can be found like this.

453:3x 151

748:2x 2x 11x 17

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

314:2x 157

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 3 = 24

Therefore, the value for common factors is 24.

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 = 99587606976/(1x24)

LCM = 99587606976/24

LCM = 4149483624

Thus, we can understand that the LCM of 453,748,936,314 is 4149483624.

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

• LCM of 258, 519, 510, 304
• LCM of 879, 404, 877, 105
• LCM of 133, 490, 898, 951
• LCM of 992, 476, 923, 879
• LCM of 195, 612, 941, 829

1. What is the LCM of 453, 748, 936, 314?

Answer: LCM of 453, 748, 936, 314 is 4149483624.

2. How to calculate the LCM of 453, 748, 936, 314?

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 453, 748, 936, 314.

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}.