Given numbers are 998,14,357,209

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

The LCM of 998,14,357,209 is 74463774.

Find LCM of 998,14,357,209 with Prime Factorization

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

2 x 7 x 499 x 1 x 51 x 209 = 74463774

Therefore, the lowest common multiple of 998,14,357,209 is 74463774.

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 14 x 357 x 209 = 1042492836

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

14 : 1, 2, 7, 14

357 : 1, 3, 7, 17, 21, 51, 119, 357

209 : 1, 11, 19, 209

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 998,14,357,209, is 1.

Now, the common factors can be found like this.

998:2x 499

14:2x 7

357:3x 7x 17

209:11x 19

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

2x 7 = 14

Therefore, the value for common factors is 14.

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 = 1042492836/(1x14)

LCM = 1042492836/14

LCM = 74463774

Thus, we can understand that the LCM of 998,14,357,209 is 74463774.

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

• LCM of 899, 13, 419, 492
• LCM of 354, 41, 400, 634
• LCM of 302, 50, 284, 786
• LCM of 756, 62, 875, 225
• LCM of 610, 18, 788, 773

1. What is the LCM of 998, 14, 357, 209?

Answer: LCM of 998, 14, 357, 209 is 74463774.

2. How to calculate the LCM of 998, 14, 357, 209?

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, 14, 357, 209.

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}.