Given numbers are 829,621,145,290

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

The LCM of 829,621,145,290 is 149294610.

Find LCM of 829,621,145,290 with Prime Factorization

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

5 x 29 x 829 x 621 x 1 x 2 = 149294610

Therefore, the lowest common multiple of 829,621,145,290 is 149294610.

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.

829 x 621 x 145 x 290 = 21647718450

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.

829 : 1, 829

621 : 1, 3, 9, 23, 27, 69, 207, 621

145 : 1, 5, 29, 145

290 : 1, 2, 5, 10, 29, 58, 145, 290

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 829,621,145,290, is 1.

Now, the common factors can be found like this.

829:829

621:3x 3x 3x 23

145:5x 29

290:2x 5x 29

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

5x 29 = 145

Therefore, the value for common factors is 145.

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 = 21647718450/(1x145)

LCM = 21647718450/145

LCM = 149294610

Thus, we can understand that the LCM of 829,621,145,290 is 149294610.

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

• LCM of 343, 870, 680, 518
• LCM of 957, 575, 383, 700
• LCM of 154, 678, 557, 861
• LCM of 117, 793, 425, 832
• LCM of 752, 605, 801, 185

1. What is the LCM of 829, 621, 145, 290?

Answer: LCM of 829, 621, 145, 290 is 149294610.

2. How to calculate the LCM of 829, 621, 145, 290?

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 829, 621, 145, 290.

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}.