Given numbers are 785,158,176,314

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

The LCM of 785,158,176,314 is 10914640.

Find LCM of 785,158,176,314 with Prime Factorization

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

2 x 157 x 5 x 79 x 88 x 1 = 10914640

Therefore, the lowest common multiple of 785,158,176,314 is 10914640.

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.

785 x 158 x 176 x 314 = 6854393920

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.

785 : 1, 5, 157, 785

158 : 1, 2, 79, 158

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

314 : 1, 2, 157, 314

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 785,158,176,314, is 1.

Now, the common factors can be found like this.

785:5x 157

158:2x 79

176:2x 2x 2x 2x 11

314:2x 157

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 157 = 628

Therefore, the value for common factors is 628.

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 = 6854393920/(1x628)

LCM = 6854393920/628

LCM = 10914640

Thus, we can understand that the LCM of 785,158,176,314 is 10914640.

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

• LCM of 314, 653, 117, 681
• LCM of 993, 239, 676, 363
• LCM of 835, 909, 552, 240
• LCM of 119, 754, 922, 928
• LCM of 685, 784, 556, 120

1. What is the LCM of 785, 158, 176, 314?

Answer: LCM of 785, 158, 176, 314 is 10914640.

2. How to calculate the LCM of 785, 158, 176, 314?

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 785, 158, 176, 314.

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}.