Given numbers are 440,770,214,428

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

The LCM of 440,770,214,428 is 329560.

Find LCM of 440,770,214,428 with Prime Factorization

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

2 x 2 x 5 x 11 x 107 x 2 x 7 x 1 x 1 = 329560

Therefore, the lowest common multiple of 440,770,214,428 is 329560.

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 770 x 214 x 428 = 31031369600

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

770 : 1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, 770

214 : 1, 2, 107, 214

428 : 1, 2, 4, 107, 214, 428

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 440,770,214,428, is 2.

Now, the common factors can be found like this.

440:2x 2x 2x 5x 11

770:2x 5x 7x 11

214:2x 107

428:2x 2x 107

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 5x 11x 107 = 47080

Therefore, the value for common factors is 47080.

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 = 31031369600/(2x47080)

LCM = 31031369600/94160

LCM = 329560

Thus, we can understand that the LCM of 440,770,214,428 is 329560.

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

• LCM of 462, 958, 219, 808
• LCM of 778, 715, 688, 600
• LCM of 544, 837, 578, 151
• LCM of 629, 308, 216, 298
• LCM of 912, 100, 756, 672

1. What is the LCM of 440, 770, 214, 428?

Answer: LCM of 440, 770, 214, 428 is 329560.

2. How to calculate the LCM of 440, 770, 214, 428?

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, 770, 214, 428.

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}.