Given numbers are 770,780,380,176

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

The LCM of 770,780,380,176 is 4564560.

Find LCM of 770,780,380,176 with Prime Factorization

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

2 x 2 x 5 x 11 x 7 x 39 x 19 x 4 = 4564560

Therefore, the lowest common multiple of 770,780,380,176 is 4564560.

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 780 x 380 x 176 = 40168128000

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

780 : 1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780

380 : 1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380

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

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 770,780,380,176, is 2.

Now, the common factors can be found like this.

770:2x 5x 7x 11

780:2x 2x 3x 5x 13

380:2x 2x 5x 19

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 2x 2x 5x 5x 11 = 4400

Therefore, the value for common factors is 4400.

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 = 40168128000/(2x4400)

LCM = 40168128000/8800

LCM = 4564560

Thus, we can understand that the LCM of 770,780,380,176 is 4564560.

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

• LCM of 462, 910, 383, 980
• LCM of 399, 851, 794, 252
• LCM of 942, 979, 155, 928
• LCM of 319, 191, 832, 962
• LCM of 957, 484, 839, 810

1. What is the LCM of 770, 780, 380, 176?

Answer: LCM of 770, 780, 380, 176 is 4564560.

2. How to calculate the LCM of 770, 780, 380, 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, 780, 380, 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}.