Given numbers are 828,160,471,668,259

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

The LCM of 828,160,471,668,259 is 224908679520.

Find LCM of 828,160,471,668,259 with Prime Factorization

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

2 x 2 x 3 x 69 x 40 x 157 x 167 x 259 = 224908679520

Therefore, the lowest common multiple of 828,160,471,668,259 is 224908679520.

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 160 x 471 x 668 x 259 = 10795616616960

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

160 : 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160

471 : 1, 3, 157, 471

668 : 1, 2, 4, 167, 334, 668

259 : 1, 7, 37, 259

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 828,160,471,668,259, is 1.

Now, the common factors can be found like this.

828:2x 2x 3x 3x 23

160:2x 2x 2x 2x 2x 5

471:3x 157

668:2x 2x 167

259:7x 37

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 3 = 48

Therefore, the value for common factors is 48.

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 = 10795616616960/(1x48)

LCM = 10795616616960/48

LCM = 224908679520

Thus, we can understand that the LCM of 828,160,471,668,259 is 224908679520.

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

• LCM of 911, 516, 696, 140, 219
• LCM of 536, 451, 766, 108, 802
• LCM of 999, 921, 245, 421, 550
• LCM of 181, 608, 468, 253, 999
• LCM of 501, 638, 110, 915, 972

1. What is the LCM of 828, 160, 471, 668, 259?

Answer: LCM of 828, 160, 471, 668, 259 is 224908679520.

2. How to calculate the LCM of 828, 160, 471, 668, 259?

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, 160, 471, 668, 259.

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}.