Given numbers are 146,292,165,289

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

The LCM of 146,292,165,289 is 13924020.

Find LCM of 146,292,165,289 with Prime Factorization

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

2 x 73 x 1 x 2 x 165 x 289 = 13924020

Therefore, the lowest common multiple of 146,292,165,289 is 13924020.

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.

146 x 292 x 165 x 289 = 2032906920

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.

146 : 1, 2, 73, 146

292 : 1, 2, 4, 73, 146, 292

165 : 1, 3, 5, 11, 15, 33, 55, 165

289 : 1, 17, 289

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 146,292,165,289, is 1.

Now, the common factors can be found like this.

146:2x 73

292:2x 2x 73

165:3x 5x 11

289:17x 17

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

2x 73 = 146

Therefore, the value for common factors is 146.

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 = 2032906920/(1x146)

LCM = 2032906920/146

LCM = 13924020

Thus, we can understand that the LCM of 146,292,165,289 is 13924020.

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

• LCM of 923, 937, 907, 978
• LCM of 126, 640, 696, 484
• LCM of 563, 298, 500, 881
• LCM of 550, 475, 279, 866
• LCM of 592, 176, 770, 573

1. What is the LCM of 146, 292, 165, 289?

Answer: LCM of 146, 292, 165, 289 is 13924020.

2. How to calculate the LCM of 146, 292, 165, 289?

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 146, 292, 165, 289.

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}.