Given numbers are 987,276,647,450,858

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

The LCM of 987,276,647,450,858 is 630095766300.

Find LCM of 987,276,647,450,858 with Prime Factorization

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

2 x 3 x 329 x 46 x 647 x 75 x 143 = 630095766300

Therefore, the lowest common multiple of 987,276,647,450,858 is 630095766300.

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 276 x 647 x 450 x 858 = 68050342760400

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

276 : 1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 276

647 : 1, 647

450 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 225, 450

858 : 1, 2, 3, 6, 11, 13, 22, 26, 33, 39, 66, 78, 143, 286, 429, 858

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 987,276,647,450,858, is 1.

Now, the common factors can be found like this.

987:3x 7x 47

276:2x 2x 3x 23

647:647

450:2x 3x 3x 5x 5

858:2x 3x 11x 13

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 3x 3 = 108

Therefore, the value for common factors is 108.

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 = 68050342760400/(1x108)

LCM = 68050342760400/108

LCM = 630095766300

Thus, we can understand that the LCM of 987,276,647,450,858 is 630095766300.

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

• LCM of 329, 843, 843, 731, 181
• LCM of 643, 674, 751, 363, 429
• LCM of 680, 793, 993, 384, 705
• LCM of 842, 871, 977, 382, 516
• LCM of 957, 790, 835, 920, 343

1. What is the LCM of 987, 276, 647, 450, 858?

Answer: LCM of 987, 276, 647, 450, 858 is 630095766300.

2. How to calculate the LCM of 987, 276, 647, 450, 858?

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, 276, 647, 450, 858.

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}.