Given numbers are 754,509,814,906

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

The LCM of 754,509,814,906 is 70759008606.

Find LCM of 754,509,814,906 with Prime Factorization

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

2 x 377 x 509 x 407 x 453 = 70759008606

Therefore, the lowest common multiple of 754,509,814,906 is 70759008606.

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.

754 x 509 x 814 x 906 = 283036034424

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.

754 : 1, 2, 13, 26, 29, 58, 377, 754

509 : 1, 509

814 : 1, 2, 11, 22, 37, 74, 407, 814

906 : 1, 2, 3, 6, 151, 302, 453, 906

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 754,509,814,906, is 1.

Now, the common factors can be found like this.

754:2x 13x 29

509:509

814:2x 11x 37

906:2x 3x 151

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 283036034424/(1x4)

LCM = 283036034424/4

LCM = 70759008606

Thus, we can understand that the LCM of 754,509,814,906 is 70759008606.

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

• LCM of 870, 716, 971, 837
• LCM of 904, 926, 906, 133
• LCM of 729, 295, 664, 776
• LCM of 526, 984, 487, 304
• LCM of 866, 343, 345, 670

1. What is the LCM of 754, 509, 814, 906?

Answer: LCM of 754, 509, 814, 906 is 70759008606.

2. How to calculate the LCM of 754, 509, 814, 906?

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 754, 509, 814, 906.

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}.