Given numbers are 728,702,116,269

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

The LCM of 728,702,116,269 is 153336456.

Find LCM of 728,702,116,269 with Prime Factorization

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

2 x 2 x 13 x 14 x 27 x 29 x 269 = 153336456

Therefore, the lowest common multiple of 728,702,116,269 is 153336456.

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 702 x 116 x 269 = 15946991424

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

702 : 1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702

116 : 1, 2, 4, 29, 58, 116

269 : 1, 269

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 728,702,116,269, is 1.

Now, the common factors can be found like this.

728:2x 2x 2x 7x 13

702:2x 3x 3x 3x 13

116:2x 2x 29

269:269

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 13 = 104

Therefore, the value for common factors is 104.

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 = 15946991424/(1x104)

LCM = 15946991424/104

LCM = 153336456

Thus, we can understand that the LCM of 728,702,116,269 is 153336456.

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

• LCM of 485, 597, 939, 813
• LCM of 574, 383, 788, 846
• LCM of 951, 374, 347, 741
• LCM of 859, 427, 768, 359
• LCM of 958, 837, 880, 864

1. What is the LCM of 728, 702, 116, 269?

Answer: LCM of 728, 702, 116, 269 is 153336456.

2. How to calculate the LCM of 728, 702, 116, 269?

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, 702, 116, 269.

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}.