Given numbers are 728,26,299,121

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

The LCM of 728,26,299,121 is 2026024.

Find LCM of 728,26,299,121 with Prime Factorization

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

2 x 13 x 28 x 1 x 23 x 121 = 2026024

Therefore, the lowest common multiple of 728,26,299,121 is 2026024.

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 26 x 299 x 121 = 684796112

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

26 : 1, 2, 13, 26

299 : 1, 13, 23, 299

121 : 1, 11, 121

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 728,26,299,121, is 1.

Now, the common factors can be found like this.

728:2x 2x 2x 7x 13

26:2x 13

299:13x 23

121:11x 11

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

2x 13x 13 = 338

Therefore, the value for common factors is 338.

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 = 684796112/(1x338)

LCM = 684796112/338

LCM = 2026024

Thus, we can understand that the LCM of 728,26,299,121 is 2026024.

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

• LCM of 890, 76, 390, 200
• LCM of 462, 87, 790, 501
• LCM of 435, 21, 928, 889
• LCM of 305, 15, 876, 965
• LCM of 657, 87, 439, 663

1. What is the LCM of 728, 26, 299, 121?

Answer: LCM of 728, 26, 299, 121 is 2026024.

2. How to calculate the LCM of 728, 26, 299, 121?

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, 26, 299, 121.

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}.