Given numbers are 544,828,470,201,829

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

The LCM of 544,828,470,201,829 is 1469827743840.

Find LCM of 544,828,470,201,829 with Prime Factorization

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

2 x 2 x 3 x 136 x 69 x 235 x 67 x 829 = 1469827743840

Therefore, the lowest common multiple of 544,828,470,201,829 is 1469827743840.

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.

544 x 828 x 470 x 201 x 829 = 35275865852160

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.

544 : 1, 2, 4, 8, 16, 17, 32, 34, 68, 136, 272, 544

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

470 : 1, 2, 5, 10, 47, 94, 235, 470

201 : 1, 3, 67, 201

829 : 1, 829

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 544,828,470,201,829, is 1.

Now, the common factors can be found like this.

544:2x 2x 2x 2x 2x 17

828:2x 2x 3x 3x 23

470:2x 5x 47

201:3x 67

829:829

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 3 = 24

Therefore, the value for common factors is 24.

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 = 35275865852160/(1x24)

LCM = 35275865852160/24

LCM = 1469827743840

Thus, we can understand that the LCM of 544,828,470,201,829 is 1469827743840.

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

• LCM of 625, 117, 946, 974, 720
• LCM of 797, 224, 414, 136, 720
• LCM of 708, 254, 750, 894, 598
• LCM of 920, 172, 957, 277, 171
• LCM of 486, 565, 258, 562, 737

1. What is the LCM of 544, 828, 470, 201, 829?

Answer: LCM of 544, 828, 470, 201, 829 is 1469827743840.

2. How to calculate the LCM of 544, 828, 470, 201, 829?

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 544, 828, 470, 201, 829.

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}.