Given numbers are 900,776,904,677,757

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

The LCM of 900,776,904,677,757 is 10111305472200.

Find LCM of 900,776,904,677,757 with Prime Factorization

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

2 x 2 x 2 x 225 x 97 x 113 x 677 x 757 = 10111305472200

Therefore, the lowest common multiple of 900,776,904,677,757 is 10111305472200.

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.

900 x 776 x 904 x 677 x 757 = 323561775110400

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.

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

776 : 1, 2, 4, 8, 97, 194, 388, 776

904 : 1, 2, 4, 8, 113, 226, 452, 904

677 : 1, 677

757 : 1, 757

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 900,776,904,677,757, is 1.

Now, the common factors can be found like this.

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

776:2x 2x 2x 97

904:2x 2x 2x 113

677:677

757:757

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 2 = 32

Therefore, the value for common factors is 32.

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 = 323561775110400/(1x32)

LCM = 323561775110400/32

LCM = 10111305472200

Thus, we can understand that the LCM of 900,776,904,677,757 is 10111305472200.

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

• LCM of 860, 280, 796, 630, 628
• LCM of 733, 299, 433, 308, 393
• LCM of 655, 158, 658, 416, 725
• LCM of 253, 636, 141, 798, 654
• LCM of 398, 136, 377, 302, 150

1. What is the LCM of 900, 776, 904, 677, 757?

Answer: LCM of 900, 776, 904, 677, 757 is 10111305472200.

2. How to calculate the LCM of 900, 776, 904, 677, 757?

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 900, 776, 904, 677, 757.

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}.