Given numbers are 535,721,760,765,857

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

The LCM of 535,721,760,765,857 is 7687849758120.

Find LCM of 535,721,760,765,857 with Prime Factorization

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

5 x 107 x 721 x 152 x 153 x 857 = 7687849758120

Therefore, the lowest common multiple of 535,721,760,765,857 is 7687849758120.

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.

535 x 721 x 760 x 765 x 857 = 192196243953000

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.

535 : 1, 5, 107, 535

721 : 1, 7, 103, 721

760 : 1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760

765 : 1, 3, 5, 9, 15, 17, 45, 51, 85, 153, 255, 765

857 : 1, 857

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 535,721,760,765,857, is 1.

Now, the common factors can be found like this.

535:5x 107

721:7x 103

760:2x 2x 2x 5x 19

765:3x 3x 5x 17

857:857

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

5x 5 = 25

Therefore, the value for common factors is 25.

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 = 192196243953000/(1x25)

LCM = 192196243953000/25

LCM = 7687849758120

Thus, we can understand that the LCM of 535,721,760,765,857 is 7687849758120.

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

• LCM of 453, 751, 291, 951, 698
• LCM of 952, 216, 169, 935, 785
• LCM of 366, 207, 879, 999, 197
• LCM of 857, 331, 922, 966, 509
• LCM of 685, 709, 865, 655, 272

1. What is the LCM of 535, 721, 760, 765, 857?

Answer: LCM of 535, 721, 760, 765, 857 is 7687849758120.

2. How to calculate the LCM of 535, 721, 760, 765, 857?

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 535, 721, 760, 765, 857.

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}.