Given numbers are 342,118,104,706,713

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

The LCM of 342,118,104,706,713 is 264086193384.

Find LCM of 342,118,104,706,713 with Prime Factorization

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

2 x 171 x 59 x 52 x 353 x 713 = 264086193384

Therefore, the lowest common multiple of 342,118,104,706,713 is 264086193384.

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.

342 x 118 x 104 x 706 x 713 = 2112689547072

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.

342 : 1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342

118 : 1, 2, 59, 118

104 : 1, 2, 4, 8, 13, 26, 52, 104

706 : 1, 2, 353, 706

713 : 1, 23, 31, 713

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 342,118,104,706,713, is 1.

Now, the common factors can be found like this.

342:2x 3x 3x 19

118:2x 59

104:2x 2x 2x 13

706:2x 353

713:23x 31

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 2 = 8

Therefore, the value for common factors is 8.

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 = 2112689547072/(1x8)

LCM = 2112689547072/8

LCM = 264086193384

Thus, we can understand that the LCM of 342,118,104,706,713 is 264086193384.

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

• LCM of 784, 626, 309, 789, 980
• LCM of 932, 998, 689, 694, 297
• LCM of 175, 715, 605, 579, 766
• LCM of 795, 937, 772, 484, 427
• LCM of 119, 322, 956, 391, 881

1. What is the LCM of 342, 118, 104, 706, 713?

Answer: LCM of 342, 118, 104, 706, 713 is 264086193384.

2. How to calculate the LCM of 342, 118, 104, 706, 713?

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 342, 118, 104, 706, 713.

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}.