Given numbers are 760,283,814,770,160

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

The LCM of 760,283,814,770,160 is 2451051680.

Find LCM of 760,283,814,770,160 with Prime Factorization

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

2 x 2 x 2 x 5 x 11 x 19 x 283 x 37 x 7 x 4 = 2451051680

Therefore, the lowest common multiple of 760,283,814,770,160 is 2451051680.

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.

760 x 283 x 814 x 770 x 160 = 21569254784000

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.

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

283 : 1, 283

814 : 1, 2, 11, 22, 37, 74, 407, 814

770 : 1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, 770

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 760,283,814,770,160, is 1.

Now, the common factors can be found like this.

760:2x 2x 2x 5x 19

283:283

814:2x 11x 37

770:2x 5x 7x 11

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

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 2x 2x 5x 5x 11 = 8800

Therefore, the value for common factors is 8800.

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 = 21569254784000/(1x8800)

LCM = 21569254784000/8800

LCM = 2451051680

Thus, we can understand that the LCM of 760,283,814,770,160 is 2451051680.

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

• LCM of 682, 715, 696, 306, 149
• LCM of 951, 917, 332, 484, 385
• LCM of 103, 307, 125, 737, 913
• LCM of 126, 514, 628, 214, 940
• LCM of 163, 607, 108, 500, 180

1. What is the LCM of 760, 283, 814, 770, 160?

Answer: LCM of 760, 283, 814, 770, 160 is 2451051680.

2. How to calculate the LCM of 760, 283, 814, 770, 160?

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 760, 283, 814, 770, 160.

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}.