Given numbers are 828,492,723,840

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

The LCM of 828,492,723,840 is 572702760.

Find LCM of 828,492,723,840 with Prime Factorization

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

2 x 2 x 3 x 69 x 41 x 241 x 70 = 572702760

Therefore, the lowest common multiple of 828,492,723,840 is 572702760.

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 492 x 723 x 840 = 247407592320

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

492 : 1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492

723 : 1, 3, 241, 723

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

3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 828,492,723,840, is 3.

Now, the common factors can be found like this.

828:2x 2x 3x 3x 23

492:2x 2x 3x 41

723:3x 241

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

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 3x 3 = 144

Therefore, the value for common factors is 144.

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 = 247407592320/(3x144)

LCM = 247407592320/432

LCM = 572702760

Thus, we can understand that the LCM of 828,492,723,840 is 572702760.

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

• LCM of 691, 243, 446, 996
• LCM of 896, 548, 147, 450
• LCM of 432, 977, 477, 109
• LCM of 813, 925, 825, 814
• LCM of 328, 713, 440, 924

1. What is the LCM of 828, 492, 723, 840?

Answer: LCM of 828, 492, 723, 840 is 572702760.

2. How to calculate the LCM of 828, 492, 723, 840?

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, 492, 723, 840.

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}.