Given numbers are 880,381,592,900,428

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

The LCM of 880,381,592,900,428 is 19910602800.

Find LCM of 880,381,592,900,428 with Prime Factorization

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

2 x 2 x 2 x 2 x 3 x 5 x 11 x 127 x 37 x 15 x 107 = 19910602800

Therefore, the lowest common multiple of 880,381,592,900,428 is 19910602800.

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.

880 x 381 x 592 x 900 x 428 = 76456714752000

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.

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

381 : 1, 3, 127, 381

592 : 1, 2, 4, 8, 16, 37, 74, 148, 296, 592

900 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 880,381,592,900,428, is 1.

Now, the common factors can be found like this.

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

381:3x 127

592:2x 2x 2x 2x 37

900:2x 2x 3x 3x 5x 5

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 2x 2x 2x 2x 2x 3x 5 = 3840

Therefore, the value for common factors is 3840.

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 = 76456714752000/(1x3840)

LCM = 76456714752000/3840

LCM = 19910602800

Thus, we can understand that the LCM of 880,381,592,900,428 is 19910602800.

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

• LCM of 841, 626, 122, 181, 911
• LCM of 962, 765, 896, 643, 712
• LCM of 222, 617, 422, 749, 109
• LCM of 140, 279, 521, 198, 656
• LCM of 860, 633, 326, 360, 905

1. What is the LCM of 880, 381, 592, 900, 428?

Answer: LCM of 880, 381, 592, 900, 428 is 19910602800.

2. How to calculate the LCM of 880, 381, 592, 900, 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 880, 381, 592, 900, 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}.