Given numbers are 998,900,294,978

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

The LCM of 998,900,294,978 is 3586961700.

Find LCM of 998,900,294,978 with Prime Factorization

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

2 x 3 x 499 x 150 x 49 x 163 = 3586961700

Therefore, the lowest common multiple of 998,900,294,978 is 3586961700.

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 900 x 294 x 978 = 258261242400

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

900 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900

294 : 1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294

978 : 1, 2, 3, 6, 163, 326, 489, 978

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 998,900,294,978, is 2.

Now, the common factors can be found like this.

998:2x 499

900:2x 2x 3x 3x 5x 5

294:2x 3x 7x 7

978:2x 3x 163

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 3x 3 = 36

Therefore, the value for common factors is 36.

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 = 258261242400/(2x36)

LCM = 258261242400/72

LCM = 3586961700

Thus, we can understand that the LCM of 998,900,294,978 is 3586961700.

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

• LCM of 667, 778, 463, 486
• LCM of 721, 254, 111, 478
• LCM of 232, 678, 109, 977
• LCM of 976, 544, 403, 431
• LCM of 814, 705, 174, 238

1. What is the LCM of 998, 900, 294, 978?

Answer: LCM of 998, 900, 294, 978 is 3586961700.

2. How to calculate the LCM of 998, 900, 294, 978?

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, 900, 294, 978.

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}.