Given numbers are 506,269,514,669

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

The LCM of 506,269,514,669 is 23402488362.

Find LCM of 506,269,514,669 with Prime Factorization

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

2 x 253 x 269 x 257 x 669 = 23402488362

Therefore, the lowest common multiple of 506,269,514,669 is 23402488362.

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.

506 x 269 x 514 x 669 = 46804976724

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.

506 : 1, 2, 11, 22, 23, 46, 253, 506

269 : 1, 269

514 : 1, 2, 257, 514

669 : 1, 3, 223, 669

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 506,269,514,669, is 1.

Now, the common factors can be found like this.

506:2x 11x 23

269:269

514:2x 257

669:3x 223

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

2 = 2

Therefore, the value for common factors is 2.

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 = 46804976724/(1x2)

LCM = 46804976724/2

LCM = 23402488362

Thus, we can understand that the LCM of 506,269,514,669 is 23402488362.

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

• LCM of 285, 291, 315, 953
• LCM of 678, 362, 528, 373
• LCM of 587, 254, 309, 795
• LCM of 758, 750, 288, 897
• LCM of 430, 584, 755, 812

1. What is the LCM of 506, 269, 514, 669?

Answer: LCM of 506, 269, 514, 669 is 23402488362.

2. How to calculate the LCM of 506, 269, 514, 669?

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 506, 269, 514, 669.

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}.