Given numbers are 260,970,990,988,299

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

The LCM of 260,970,990,988,299 is 1091092860.

Find LCM of 260,970,990,988,299 with Prime Factorization

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

2 x 2 x 5 x 13 x 1 x 97 x 99 x 19 x 23 = 1091092860

Therefore, the lowest common multiple of 260,970,990,988,299 is 1091092860.

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.

260 x 970 x 990 x 988 x 299 = 73757877336000

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.

260 : 1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260

970 : 1, 2, 5, 10, 97, 194, 485, 970

990 : 1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990

988 : 1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988

299 : 1, 13, 23, 299

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 260,970,990,988,299, is 1.

Now, the common factors can be found like this.

260:2x 2x 5x 13

970:2x 5x 97

990:2x 3x 3x 5x 11

988:2x 2x 13x 19

299:13x 23

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 5x 5x 13x 13 = 67600

Therefore, the value for common factors is 67600.

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 = 73757877336000/(1x67600)

LCM = 73757877336000/67600

LCM = 1091092860

Thus, we can understand that the LCM of 260,970,990,988,299 is 1091092860.

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

• LCM of 871, 409, 726, 886, 849
• LCM of 975, 652, 886, 680, 237
• LCM of 573, 193, 548, 851, 295
• LCM of 644, 353, 509, 754, 595
• LCM of 821, 857, 223, 860, 568

1. What is the LCM of 260, 970, 990, 988, 299?

Answer: LCM of 260, 970, 990, 988, 299 is 1091092860.

2. How to calculate the LCM of 260, 970, 990, 988, 299?

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 260, 970, 990, 988, 299.

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}.