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LCM of 348, 690, 423, 114, 345

Created By : Jatin Gogia
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023


Find the LCM of 348, 690, 423, 114, 345 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 348, 690, 423, 114, 345. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 348,690,423,114,345

Given numbers are 348,690,423,114,345

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

The LCM of 348,690,423,114,345 is 107213580.

Find LCM of 348,690,423,114,345 with Prime Factorization


2 348, 690, 423, 114, 345
3 174, 345, 423, 57, 345
5 58, 115, 141, 19, 115
23 58, 23, 141, 19, 23
58, 1, 141, 19, 1

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

2 x 3 x 5 x 23 x 58 x 1 x 141 x 19 x 1 = 107213580

Therefore, the lowest common multiple of 348,690,423,114,345 is 107213580.

LCM Formula to Find Lowest Common Multiple of 348,690,423,114,345

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.

348 x 690 x 423 x 114 x 345 = 3994777990800

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.

348 : 1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348

690 : 1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690

423 : 1, 3, 9, 47, 141, 423

114 : 1, 2, 3, 6, 19, 38, 57, 114

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

3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 348,690,423,114,345, is 3.

Now, the common factors can be found like this.

348:2x 2x 3x 29

690:2x 3x 5x 23

423:3x 3x 47

114:2x 3x 19

345:3x 5x 23

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 3x 3x 3x 5x 23 = 12420

Therefore, the value for common factors is 12420.

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 = 3994777990800/(3x12420)

LCM = 3994777990800/37260

LCM = 107213580

Thus, we can understand that the LCM of 348,690,423,114,345 is 107213580.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 348, 690, 423, 114, 345

1. What is the LCM of 348, 690, 423, 114, 345?

Answer: LCM of 348, 690, 423, 114, 345 is 107213580.

2. How to calculate the LCM of 348, 690, 423, 114, 345?

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 348, 690, 423, 114, 345.

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}.