Given numbers are 779,178,214,162,491

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

The LCM of 779,178,214,162,491 is 590075725014.

Find LCM of 779,178,214,162,491 with Prime Factorization

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

2 x 779 x 89 x 107 x 81 x 491 = 590075725014

Therefore, the lowest common multiple of 779,178,214,162,491 is 590075725014.

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.

779 x 178 x 214 x 162 x 491 = 2360302900056

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.

779 : 1, 19, 41, 779

178 : 1, 2, 89, 178

214 : 1, 2, 107, 214

162 : 1, 2, 3, 6, 9, 18, 27, 54, 81, 162

491 : 1, 491

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 779,178,214,162,491, is 1.

Now, the common factors can be found like this.

779:19x 41

178:2x 89

214:2x 107

162:2x 3x 3x 3x 3

491:491

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 2360302900056/(1x4)

LCM = 2360302900056/4

LCM = 590075725014

Thus, we can understand that the LCM of 779,178,214,162,491 is 590075725014.

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

• LCM of 231, 719, 304, 593, 860
• LCM of 692, 607, 794, 777, 673
• LCM of 281, 957, 518, 820, 930
• LCM of 685, 910, 911, 504, 940
• LCM of 997, 735, 608, 293, 930

1. What is the LCM of 779, 178, 214, 162, 491?

Answer: LCM of 779, 178, 214, 162, 491 is 590075725014.

2. How to calculate the LCM of 779, 178, 214, 162, 491?

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 779, 178, 214, 162, 491.

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}.