Given numbers are 428,473,814,701

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

The LCM of 428,473,814,701 is 5250790028.

Find LCM of 428,473,814,701 with Prime Factorization

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

2 x 11 x 214 x 43 x 37 x 701 = 5250790028

Therefore, the lowest common multiple of 428,473,814,701 is 5250790028.

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.

428 x 473 x 814 x 701 = 115517380616

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.

428 : 1, 2, 4, 107, 214, 428

473 : 1, 11, 43, 473

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

701 : 1, 701

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 428,473,814,701, is 1.

Now, the common factors can be found like this.

428:2x 2x 107

473:11x 43

814:2x 11x 37

701:701

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

2x 11 = 22

Therefore, the value for common factors is 22.

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 = 115517380616/(1x22)

LCM = 115517380616/22

LCM = 5250790028

Thus, we can understand that the LCM of 428,473,814,701 is 5250790028.

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

• LCM of 979, 178, 606, 194
• LCM of 353, 317, 778, 835
• LCM of 355, 805, 782, 312
• LCM of 704, 344, 816, 916
• LCM of 404, 149, 972, 470

1. What is the LCM of 428, 473, 814, 701?

Answer: LCM of 428, 473, 814, 701 is 5250790028.

2. How to calculate the LCM of 428, 473, 814, 701?

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 428, 473, 814, 701.

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}.