Given numbers are 900,770,829,910

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

The LCM of 900,770,829,910 is 746846100.

Find LCM of 900,770,829,910 with Prime Factorization

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

2 x 5 x 7 x 90 x 11 x 829 x 13 = 746846100

Therefore, the lowest common multiple of 900,770,829,910 is 746846100.

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 770 x 829 x 910 = 522792270000

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

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

829 : 1, 829

910 : 1, 2, 5, 7, 10, 13, 14, 26, 35, 65, 70, 91, 130, 182, 455, 910

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 900,770,829,910, is 1.

Now, the common factors can be found like this.

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

770:2x 5x 7x 11

829:829

910:2x 5x 7x 13

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 5x 5x 7 = 700

Therefore, the value for common factors is 700.

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 = 522792270000/(1x700)

LCM = 522792270000/700

LCM = 746846100

Thus, we can understand that the LCM of 900,770,829,910 is 746846100.

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

• LCM of 384, 499, 482, 436
• LCM of 131, 696, 239, 461
• LCM of 648, 770, 804, 182
• LCM of 885, 352, 661, 869
• LCM of 640, 661, 105, 460

1. What is the LCM of 900, 770, 829, 910?

Answer: LCM of 900, 770, 829, 910 is 746846100.

2. How to calculate the LCM of 900, 770, 829, 910?

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, 770, 829, 910.

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}.