Given numbers are 770,407,682,271,176

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

The LCM of 770,407,682,271,176 is 1914755920.

Find LCM of 770,407,682,271,176 with Prime Factorization

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

2 x 11 x 35 x 37 x 31 x 271 x 8 = 1914755920

Therefore, the lowest common multiple of 770,407,682,271,176 is 1914755920.

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.

770 x 407 x 682 x 271 x 176 = 10194160518080

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.

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

407 : 1, 11, 37, 407

682 : 1, 2, 11, 22, 31, 62, 341, 682

271 : 1, 271

176 : 1, 2, 4, 8, 11, 16, 22, 44, 88, 176

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 770,407,682,271,176, is 1.

Now, the common factors can be found like this.

770:2x 5x 7x 11

407:11x 37

682:2x 11x 31

271:271

176:2x 2x 2x 2x 11

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 11x 11x 11 = 5324

Therefore, the value for common factors is 5324.

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 = 10194160518080/(1x5324)

LCM = 10194160518080/5324

LCM = 1914755920

Thus, we can understand that the LCM of 770,407,682,271,176 is 1914755920.

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

• LCM of 288, 631, 720, 636, 365
• LCM of 764, 234, 908, 947, 724
• LCM of 412, 559, 863, 378, 196
• LCM of 796, 834, 983, 751, 146
• LCM of 167, 648, 937, 148, 258

1. What is the LCM of 770, 407, 682, 271, 176?

Answer: LCM of 770, 407, 682, 271, 176 is 1914755920.

2. How to calculate the LCM of 770, 407, 682, 271, 176?

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 770, 407, 682, 271, 176.

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}.