Given numbers are 828,224,587,868

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

The LCM of 828,224,587,868 is 843758496.

Find LCM of 828,224,587,868 with Prime Factorization

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

2 x 2 x 7 x 207 x 8 x 587 x 31 = 843758496

Therefore, the lowest common multiple of 828,224,587,868 is 843758496.

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.

828 x 224 x 587 x 868 = 94500951552

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.

828 : 1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

224 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224

587 : 1, 587

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 828,224,587,868, is 1.

Now, the common factors can be found like this.

828:2x 2x 3x 3x 23

224:2x 2x 2x 2x 2x 7

587:587

868:2x 2x 7x 31

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 7 = 112

Therefore, the value for common factors is 112.

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 = 94500951552/(1x112)

LCM = 94500951552/112

LCM = 843758496

Thus, we can understand that the LCM of 828,224,587,868 is 843758496.

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

• LCM of 898, 861, 390, 181
• LCM of 120, 184, 324, 538
• LCM of 806, 600, 457, 582
• LCM of 157, 679, 979, 441
• LCM of 511, 289, 455, 195

1. What is the LCM of 828, 224, 587, 868?

Answer: LCM of 828, 224, 587, 868 is 843758496.

2. How to calculate the LCM of 828, 224, 587, 868?

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 828, 224, 587, 868.

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}.