Given numbers are 980,905,840,192,489

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

The LCM of 980,905,840,192,489 is 1387821120.

Find LCM of 980,905,840,192,489 with Prime Factorization

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

2 x 2 x 2 x 3 x 5 x 7 x 1 x 181 x 7 x 8 x 163 = 1387821120

Therefore, the lowest common multiple of 980,905,840,192,489 is 1387821120.

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.

980 x 905 x 840 x 192 x 489 = 69946184448000

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.

980 : 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 49, 70, 98, 140, 196, 245, 490, 980

905 : 1, 5, 181, 905

840 : 1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840

192 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 192

489 : 1, 3, 163, 489

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 980,905,840,192,489, is 1.

Now, the common factors can be found like this.

980:2x 2x 5x 7x 7

905:5x 181

840:2x 2x 2x 3x 5x 7

192:2x 2x 2x 2x 2x 2x 3

489:3x 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 2x 2x 2x 3x 3x 5x 5x 7 = 50400

Therefore, the value for common factors is 50400.

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 = 69946184448000/(1x50400)

LCM = 69946184448000/50400

LCM = 1387821120

Thus, we can understand that the LCM of 980,905,840,192,489 is 1387821120.

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

• LCM of 404, 496, 488, 588, 415
• LCM of 410, 294, 518, 229, 728
• LCM of 755, 516, 306, 998, 765
• LCM of 699, 261, 660, 108, 221
• LCM of 143, 308, 413, 582, 558

1. What is the LCM of 980, 905, 840, 192, 489?

Answer: LCM of 980, 905, 840, 192, 489 is 1387821120.

2. How to calculate the LCM of 980, 905, 840, 192, 489?

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 980, 905, 840, 192, 489.

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}.