Given numbers are 587,578,828

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

The LCM of 587,578,828 is 140464404.

Find LCM of 587,578,828 with Prime Factorization

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

2 x 587 x 289 x 414 = 140464404

Therefore, the lowest common multiple of 587,578,828 is 140464404.

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.

587 x 578 x 828 = 280928808

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.

587 : 1, 587

578 : 1, 2, 17, 34, 289, 578

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 587,578,828, is 1.

Now, the common factors can be found like this.

587:587

578:2x 17x 17

828:2x 2x 3x 3x 23

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

2 = 2

Therefore, the value for common factors is 2.

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 = 280928808/(1x2)

LCM = 280928808/2

LCM = 140464404

Thus, we can understand that the LCM of 587,578,828 is 140464404.

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

• LCM of 227, 937, 742
• LCM of 548, 636, 730
• LCM of 658, 740, 781
• LCM of 603, 326, 893
• LCM of 314, 896, 816

1. What is the LCM of 587, 578, 828?

Answer: LCM of 587, 578, 828 is 140464404.

2. How to calculate the LCM of 587, 578, 828?

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 587, 578, 828.

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}.