Given numbers are 504,103,523,292,620

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

The LCM of 504,103,523,292,620 is 307201978440.

Find LCM of 504,103,523,292,620 with Prime Factorization

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

2 x 2 x 126 x 103 x 523 x 73 x 155 = 307201978440

Therefore, the lowest common multiple of 504,103,523,292,620 is 307201978440.

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.

504 x 103 x 523 x 292 x 620 = 4915231655040

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.

504 : 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504

103 : 1, 103

523 : 1, 523

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

620 : 1, 2, 4, 5, 10, 20, 31, 62, 124, 155, 310, 620

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 504,103,523,292,620, is 1.

Now, the common factors can be found like this.

504:2x 2x 2x 3x 3x 7

103:103

523:523

292:2x 2x 73

620:2x 2x 5x 31

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 2 = 16

Therefore, the value for common factors is 16.

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 = 4915231655040/(1x16)

LCM = 4915231655040/16

LCM = 307201978440

Thus, we can understand that the LCM of 504,103,523,292,620 is 307201978440.

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

• LCM of 123, 495, 903, 104, 798
• LCM of 720, 618, 487, 172, 169
• LCM of 763, 978, 600, 592, 427
• LCM of 189, 654, 261, 347, 461
• LCM of 286, 204, 893, 473, 907

1. What is the LCM of 504, 103, 523, 292, 620?

Answer: LCM of 504, 103, 523, 292, 620 is 307201978440.

2. How to calculate the LCM of 504, 103, 523, 292, 620?

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 504, 103, 523, 292, 620.

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}.