Given numbers are 523,160,266,690,614

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

The LCM of 523,160,266,690,614 is 235754927520.

Find LCM of 523,160,266,690,614 with Prime Factorization

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

2 x 5 x 523 x 16 x 133 x 69 x 307 = 235754927520

Therefore, the lowest common multiple of 523,160,266,690,614 is 235754927520.

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.

523 x 160 x 266 x 690 x 614 = 9430197100800

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.

523 : 1, 523

160 : 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160

266 : 1, 2, 7, 14, 19, 38, 133, 266

690 : 1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690

614 : 1, 2, 307, 614

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 523,160,266,690,614, is 1.

Now, the common factors can be found like this.

523:523

160:2x 2x 2x 2x 2x 5

266:2x 7x 19

690:2x 3x 5x 23

614:2x 307

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 5 = 40

Therefore, the value for common factors is 40.

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 = 9430197100800/(1x40)

LCM = 9430197100800/40

LCM = 235754927520

Thus, we can understand that the LCM of 523,160,266,690,614 is 235754927520.

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

• LCM of 377, 762, 721, 359, 178
• LCM of 819, 451, 462, 724, 784
• LCM of 722, 423, 814, 440, 600
• LCM of 492, 820, 556, 330, 304
• LCM of 671, 895, 604, 858, 399

1. What is the LCM of 523, 160, 266, 690, 614?

Answer: LCM of 523, 160, 266, 690, 614 is 235754927520.

2. How to calculate the LCM of 523, 160, 266, 690, 614?

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 523, 160, 266, 690, 614.

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}.