Given numbers are 998,104,118,261

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

The LCM of 998,104,118,261 is 799146504.

Find LCM of 998,104,118,261 with Prime Factorization

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

2 x 499 x 52 x 59 x 261 = 799146504

Therefore, the lowest common multiple of 998,104,118,261 is 799146504.

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.

998 x 104 x 118 x 261 = 3196586016

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.

998 : 1, 2, 499, 998

104 : 1, 2, 4, 8, 13, 26, 52, 104

118 : 1, 2, 59, 118

261 : 1, 3, 9, 29, 87, 261

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 998,104,118,261, is 1.

Now, the common factors can be found like this.

998:2x 499

104:2x 2x 2x 13

118:2x 59

261:3x 3x 29

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 = 3196586016/(1x4)

LCM = 3196586016/4

LCM = 799146504

Thus, we can understand that the LCM of 998,104,118,261 is 799146504.

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

• LCM of 251, 851, 409, 653
• LCM of 518, 758, 602, 801
• LCM of 560, 614, 575, 528
• LCM of 960, 726, 901, 815
• LCM of 669, 321, 626, 265

1. What is the LCM of 998, 104, 118, 261?

Answer: LCM of 998, 104, 118, 261 is 799146504.

2. How to calculate the LCM of 998, 104, 118, 261?

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 998, 104, 118, 261.

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}.