Given numbers are 892,423,380,149

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

The LCM of 892,423,380,149 is 5340907980.

Find LCM of 892,423,380,149 with Prime Factorization

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

2 x 2 x 223 x 423 x 95 x 149 = 5340907980

Therefore, the lowest common multiple of 892,423,380,149 is 5340907980.

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.

892 x 423 x 380 x 149 = 21363631920

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.

892 : 1, 2, 4, 223, 446, 892

423 : 1, 3, 9, 47, 141, 423

380 : 1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380

149 : 1, 149

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 892,423,380,149, is 1.

Now, the common factors can be found like this.

892:2x 2x 223

423:3x 3x 47

380:2x 2x 5x 19

149:149

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 21363631920/(1x4)

LCM = 21363631920/4

LCM = 5340907980

Thus, we can understand that the LCM of 892,423,380,149 is 5340907980.

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

• LCM of 311, 869, 782, 540
• LCM of 274, 518, 367, 664
• LCM of 782, 543, 694, 758
• LCM of 819, 676, 684, 125
• LCM of 345, 898, 710, 373

1. What is the LCM of 892, 423, 380, 149?

Answer: LCM of 892, 423, 380, 149 is 5340907980.

2. How to calculate the LCM of 892, 423, 380, 149?

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 892, 423, 380, 149.

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}.