Given numbers are 821,880,624,828

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

The LCM of 821,880,624,828 is 1944193680.

Find LCM of 821,880,624,828 with Prime Factorization

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

2 x 2 x 2 x 2 x 3 x 821 x 55 x 13 x 69 = 1944193680

Therefore, the lowest common multiple of 821,880,624,828 is 1944193680.

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.

821 x 880 x 624 x 828 = 373285186560

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.

821 : 1, 821

880 : 1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 55, 80, 88, 110, 176, 220, 440, 880

624 : 1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624

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 821,880,624,828, is 1.

Now, the common factors can be found like this.

821:821

880:2x 2x 2x 2x 5x 11

624:2x 2x 2x 2x 3x 13

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.

2x 2x 2x 2x 2x 2x 3 = 192

Therefore, the value for common factors is 192.

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 = 373285186560/(1x192)

LCM = 373285186560/192

LCM = 1944193680

Thus, we can understand that the LCM of 821,880,624,828 is 1944193680.

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

• LCM of 787, 591, 368, 863
• LCM of 451, 220, 773, 955
• LCM of 932, 739, 942, 289
• LCM of 517, 545, 892, 673
• LCM of 218, 711, 792, 820

1. What is the LCM of 821, 880, 624, 828?

Answer: LCM of 821, 880, 624, 828 is 1944193680.

2. How to calculate the LCM of 821, 880, 624, 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 821, 880, 624, 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}.