Given numbers are 868,538,514,678

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

The LCM of 868,538,514,678 is 20342523516.

Find LCM of 868,538,514,678 with Prime Factorization

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

2 x 434 x 269 x 257 x 339 = 20342523516

Therefore, the lowest common multiple of 868,538,514,678 is 20342523516.

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.

868 x 538 x 514 x 678 = 162740188128

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.

868 : 1, 2, 4, 7, 14, 28, 31, 62, 124, 217, 434, 868

538 : 1, 2, 269, 538

514 : 1, 2, 257, 514

678 : 1, 2, 3, 6, 113, 226, 339, 678

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 868,538,514,678, is 2.

Now, the common factors can be found like this.

868:2x 2x 7x 31

538:2x 269

514:2x 257

678:2x 3x 113

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 162740188128/(2x4)

LCM = 162740188128/8

LCM = 20342523516

Thus, we can understand that the LCM of 868,538,514,678 is 20342523516.

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

• LCM of 758, 477, 446, 686
• LCM of 192, 841, 766, 770
• LCM of 994, 563, 731, 811
• LCM of 666, 319, 923, 199
• LCM of 416, 720, 861, 247

1. What is the LCM of 868, 538, 514, 678?

Answer: LCM of 868, 538, 514, 678 is 20342523516.

2. How to calculate the LCM of 868, 538, 514, 678?

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 868, 538, 514, 678.

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}.