Given numbers are 920,725,552,970,828

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

The LCM of 920,725,552,970,828 is 116458200.

Find LCM of 920,725,552,970,828 with Prime Factorization

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

2 x 2 x 2 x 3 x 5 x 23 x 1 x 145 x 1 x 97 x 3 = 116458200

Therefore, the lowest common multiple of 920,725,552,970,828 is 116458200.

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.

920 x 725 x 552 x 970 x 828 = 295710661440000

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.

920 : 1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920

725 : 1, 5, 25, 29, 145, 725

552 : 1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 184, 276, 552

970 : 1, 2, 5, 10, 97, 194, 485, 970

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 920,725,552,970,828, is 1.

Now, the common factors can be found like this.

920:2x 2x 2x 5x 23

725:5x 5x 29

552:2x 2x 2x 3x 23

970:2x 5x 97

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 3x 5x 5x 23x 23 = 2539200

Therefore, the value for common factors is 2539200.

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 = 295710661440000/(1x2539200)

LCM = 295710661440000/2539200

LCM = 116458200

Thus, we can understand that the LCM of 920,725,552,970,828 is 116458200.

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

• LCM of 399, 683, 484, 247, 663
• LCM of 388, 521, 932, 729, 984
• LCM of 309, 831, 774, 855, 256
• LCM of 658, 228, 501, 658, 282
• LCM of 376, 828, 514, 175, 857

1. What is the LCM of 920, 725, 552, 970, 828?

Answer: LCM of 920, 725, 552, 970, 828 is 116458200.

2. How to calculate the LCM of 920, 725, 552, 970, 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 920, 725, 552, 970, 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}.