Given numbers are 713,115,345,122,677

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

The LCM of 713,115,345,122,677 is 883342830.

Find LCM of 713,115,345,122,677 with Prime Factorization

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

5 x 23 x 31 x 1 x 3 x 122 x 677 = 883342830

Therefore, the lowest common multiple of 713,115,345,122,677 is 883342830.

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.

713 x 115 x 345 x 122 x 677 = 2336441785350

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.

713 : 1, 23, 31, 713

115 : 1, 5, 23, 115

345 : 1, 3, 5, 15, 23, 69, 115, 345

122 : 1, 2, 61, 122

677 : 1, 677

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 713,115,345,122,677, is 1.

Now, the common factors can be found like this.

713:23x 31

115:5x 23

345:3x 5x 23

122:2x 61

677:677

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

5x 23x 23 = 2645

Therefore, the value for common factors is 2645.

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 = 2336441785350/(1x2645)

LCM = 2336441785350/2645

LCM = 883342830

Thus, we can understand that the LCM of 713,115,345,122,677 is 883342830.

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

• LCM of 287, 644, 809, 956, 775
• LCM of 697, 998, 881, 251, 334
• LCM of 419, 898, 101, 518, 393
• LCM of 984, 786, 704, 643, 187
• LCM of 380, 411, 600, 997, 172

1. What is the LCM of 713, 115, 345, 122, 677?

Answer: LCM of 713, 115, 345, 122, 677 is 883342830.

2. How to calculate the LCM of 713, 115, 345, 122, 677?

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 713, 115, 345, 122, 677.

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}.