Given numbers are 824,107,350,740,487

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

The LCM of 824,107,350,740,487 is 278022358600.

Find LCM of 824,107,350,740,487 with Prime Factorization

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

2 x 2 x 5 x 206 x 107 x 35 x 37 x 487 = 278022358600

Therefore, the lowest common multiple of 824,107,350,740,487 is 278022358600.

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.

824 x 107 x 350 x 740 x 487 = 11120894344000

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.

824 : 1, 2, 4, 8, 103, 206, 412, 824

107 : 1, 107

350 : 1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350

740 : 1, 2, 4, 5, 10, 20, 37, 74, 148, 185, 370, 740

487 : 1, 487

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 824,107,350,740,487, is 1.

Now, the common factors can be found like this.

824:2x 2x 2x 103

107:107

350:2x 5x 5x 7

740:2x 2x 5x 37

487:487

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 = 11120894344000/(1x40)

LCM = 11120894344000/40

LCM = 278022358600

Thus, we can understand that the LCM of 824,107,350,740,487 is 278022358600.

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

• LCM of 369, 963, 857, 779, 749
• LCM of 143, 703, 150, 611, 913
• LCM of 815, 981, 625, 466, 416
• LCM of 814, 140, 812, 541, 423
• LCM of 711, 493, 250, 272, 320

1. What is the LCM of 824, 107, 350, 740, 487?

Answer: LCM of 824, 107, 350, 740, 487 is 278022358600.

2. How to calculate the LCM of 824, 107, 350, 740, 487?

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 824, 107, 350, 740, 487.

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}.