Given numbers are 900,248,570,131,770

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

The LCM of 900,248,570,131,770 is 10694237400.

Find LCM of 900,248,570,131,770 with Prime Factorization

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

2 x 2 x 3 x 5 x 15 x 62 x 19 x 131 x 77 = 10694237400

Therefore, the lowest common multiple of 900,248,570,131,770 is 10694237400.

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 248 x 570 x 131 x 770 = 12833084880000

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

248 : 1, 2, 4, 8, 31, 62, 124, 248

570 : 1, 2, 3, 5, 6, 10, 15, 19, 30, 38, 57, 95, 114, 190, 285, 570

131 : 1, 131

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 900,248,570,131,770, is 1.

Now, the common factors can be found like this.

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

248:2x 2x 2x 31

570:2x 3x 5x 19

131:131

770:2x 5x 7x 11

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 3x 5x 5 = 1200

Therefore, the value for common factors is 1200.

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 = 12833084880000/(1x1200)

LCM = 12833084880000/1200

LCM = 10694237400

Thus, we can understand that the LCM of 900,248,570,131,770 is 10694237400.

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

• LCM of 822, 936, 581, 741, 122
• LCM of 231, 256, 167, 765, 475
• LCM of 893, 237, 910, 870, 697
• LCM of 451, 605, 968, 707, 422
• LCM of 419, 823, 138, 783, 726

1. What is the LCM of 900, 248, 570, 131, 770?

Answer: LCM of 900, 248, 570, 131, 770 is 10694237400.

2. How to calculate the LCM of 900, 248, 570, 131, 770?

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, 248, 570, 131, 770.

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}.