Given numbers are 528,409,880,714

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

The LCM of 528,409,880,714 is 128491440.

Find LCM of 528,409,880,714 with Prime Factorization

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

2 x 2 x 2 x 2 x 3 x 11 x 1 x 409 x 5 x 119 = 128491440

Therefore, the lowest common multiple of 528,409,880,714 is 128491440.

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.

528 x 409 x 880 x 714 = 135686960640

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.

528 : 1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528

409 : 1, 409

880 : 1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 55, 80, 88, 110, 176, 220, 440, 880

714 : 1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 528,409,880,714, is 1.

Now, the common factors can be found like this.

528:2x 2x 2x 2x 3x 11

409:409

880:2x 2x 2x 2x 5x 11

714:2x 3x 7x 17

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 2x 2x 3x 11 = 1056

Therefore, the value for common factors is 1056.

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 = 135686960640/(1x1056)

LCM = 135686960640/1056

LCM = 128491440

Thus, we can understand that the LCM of 528,409,880,714 is 128491440.

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

• LCM of 631, 559, 129, 129
• LCM of 461, 642, 765, 292
• LCM of 848, 257, 686, 884
• LCM of 386, 761, 800, 624
• LCM of 538, 173, 755, 821

1. What is the LCM of 528, 409, 880, 714?

Answer: LCM of 528, 409, 880, 714 is 128491440.

2. How to calculate the LCM of 528, 409, 880, 714?

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 528, 409, 880, 714.

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}.