Given numbers are 299,701,490,736,548

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

The LCM of 299,701,490,736,548 is 225126093920.

Find LCM of 299,701,490,736,548 with Prime Factorization

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

2 x 2 x 23 x 13 x 701 x 245 x 8 x 137 = 225126093920

Therefore, the lowest common multiple of 299,701,490,736,548 is 225126093920.

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.

299 x 701 x 490 x 736 x 548 = 41423201281280

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.

299 : 1, 13, 23, 299

701 : 1, 701

490 : 1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 490

736 : 1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736

548 : 1, 2, 4, 137, 274, 548

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 299,701,490,736,548, is 1.

Now, the common factors can be found like this.

299:13x 23

701:701

490:2x 5x 7x 7

736:2x 2x 2x 2x 2x 23

548:2x 2x 137

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 23 = 184

Therefore, the value for common factors is 184.

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 = 41423201281280/(1x184)

LCM = 41423201281280/184

LCM = 225126093920

Thus, we can understand that the LCM of 299,701,490,736,548 is 225126093920.

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

• LCM of 587, 439, 862, 258, 129
• LCM of 886, 541, 171, 634, 554
• LCM of 114, 725, 643, 494, 644
• LCM of 937, 212, 680, 470, 270
• LCM of 669, 833, 709, 143, 233

1. What is the LCM of 299, 701, 490, 736, 548?

Answer: LCM of 299, 701, 490, 736, 548 is 225126093920.

2. How to calculate the LCM of 299, 701, 490, 736, 548?

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 299, 701, 490, 736, 548.

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}.