Given numbers are 728,692,226,701

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

The LCM of 728,692,226,701 is 9976402072.

Find LCM of 728,692,226,701 with Prime Factorization

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

2 x 2 x 182 x 173 x 113 x 701 = 9976402072

Therefore, the lowest common multiple of 728,692,226,701 is 9976402072.

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.

728 x 692 x 226 x 701 = 79811216576

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.

728 : 1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728

692 : 1, 2, 4, 173, 346, 692

226 : 1, 2, 113, 226

701 : 1, 701

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 728,692,226,701, is 1.

Now, the common factors can be found like this.

728:2x 2x 2x 7x 13

692:2x 2x 173

226:2x 113

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 2x 2 = 8

Therefore, the value for common factors is 8.

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 = 79811216576/(1x8)

LCM = 79811216576/8

LCM = 9976402072

Thus, we can understand that the LCM of 728,692,226,701 is 9976402072.

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

• LCM of 810, 680, 999, 313
• LCM of 481, 838, 542, 642
• LCM of 347, 710, 126, 202
• LCM of 489, 324, 271, 523
• LCM of 278, 921, 675, 568

1. What is the LCM of 728, 692, 226, 701?

Answer: LCM of 728, 692, 226, 701 is 9976402072.

2. How to calculate the LCM of 728, 692, 226, 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 728, 692, 226, 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}.