Given numbers are 987,840,194,138,198

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

The LCM of 987,840,194,138,198 is 2906636040.

Find LCM of 987,840,194,138,198 with Prime Factorization

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

2 x 3 x 7 x 47 x 20 x 97 x 23 x 33 = 2906636040

Therefore, the lowest common multiple of 987,840,194,138,198 is 2906636040.

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.

987 x 840 x 194 x 138 x 198 = 4394833692480

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.

987 : 1, 3, 7, 21, 47, 141, 329, 987

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

194 : 1, 2, 97, 194

138 : 1, 2, 3, 6, 23, 46, 69, 138

198 : 1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 987,840,194,138,198, is 1.

Now, the common factors can be found like this.

987:3x 7x 47

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

194:2x 97

138:2x 3x 23

198:2x 3x 3x 11

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 3x 3x 3x 7 = 1512

Therefore, the value for common factors is 1512.

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 = 4394833692480/(1x1512)

LCM = 4394833692480/1512

LCM = 2906636040

Thus, we can understand that the LCM of 987,840,194,138,198 is 2906636040.

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

• LCM of 304, 140, 522, 750, 922
• LCM of 859, 621, 141, 179, 678
• LCM of 893, 843, 118, 133, 168
• LCM of 812, 241, 128, 866, 234
• LCM of 964, 828, 842, 851, 962

1. What is the LCM of 987, 840, 194, 138, 198?

Answer: LCM of 987, 840, 194, 138, 198 is 2906636040.

2. How to calculate the LCM of 987, 840, 194, 138, 198?

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 987, 840, 194, 138, 198.

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}.