Given numbers are 728,314,706,117

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

The LCM of 728,314,706,117 is 363118392.

Find LCM of 728,314,706,117 with Prime Factorization

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

2 x 13 x 28 x 157 x 353 x 9 = 363118392

Therefore, the lowest common multiple of 728,314,706,117 is 363118392.

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 314 x 706 x 117 = 18882156384

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

314 : 1, 2, 157, 314

706 : 1, 2, 353, 706

117 : 1, 3, 9, 13, 39, 117

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 728,314,706,117, is 1.

Now, the common factors can be found like this.

728:2x 2x 2x 7x 13

314:2x 157

706:2x 353

117:3x 3x 13

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 13 = 52

Therefore, the value for common factors is 52.

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 = 18882156384/(1x52)

LCM = 18882156384/52

LCM = 363118392

Thus, we can understand that the LCM of 728,314,706,117 is 363118392.

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

• LCM of 552, 940, 775, 885
• LCM of 129, 826, 878, 308
• LCM of 532, 429, 851, 723
• LCM of 445, 949, 435, 312
• LCM of 384, 369, 398, 611

1. What is the LCM of 728, 314, 706, 117?

Answer: LCM of 728, 314, 706, 117 is 363118392.

2. How to calculate the LCM of 728, 314, 706, 117?

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, 314, 706, 117.

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}.