Given numbers are 440,121,258,455,689

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

The LCM of 440,121,258,455,689 is 3011288280.

Find LCM of 440,121,258,455,689 with Prime Factorization

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

2 x 5 x 11 x 13 x 4 x 11 x 129 x 7 x 53 = 3011288280

Therefore, the lowest common multiple of 440,121,258,455,689 is 3011288280.

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.

440 x 121 x 258 x 455 x 689 = 4306142240400

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.

440 : 1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440

121 : 1, 11, 121

258 : 1, 2, 3, 6, 43, 86, 129, 258

455 : 1, 5, 7, 13, 35, 65, 91, 455

689 : 1, 13, 53, 689

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 440,121,258,455,689, is 1.

Now, the common factors can be found like this.

440:2x 2x 2x 5x 11

121:11x 11

258:2x 3x 43

455:5x 7x 13

689:13x 53

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

2x 5x 11x 13 = 1430

Therefore, the value for common factors is 1430.

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 = 4306142240400/(1x1430)

LCM = 4306142240400/1430

LCM = 3011288280

Thus, we can understand that the LCM of 440,121,258,455,689 is 3011288280.

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

• LCM of 165, 741, 397, 274, 919
• LCM of 984, 600, 282, 267, 520
• LCM of 742, 679, 938, 624, 984
• LCM of 417, 117, 834, 376, 531
• LCM of 178, 917, 139, 950, 164

1. What is the LCM of 440, 121, 258, 455, 689?

Answer: LCM of 440, 121, 258, 455, 689 is 3011288280.

2. How to calculate the LCM of 440, 121, 258, 455, 689?

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 440, 121, 258, 455, 689.

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}.