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LCM of 345, 141, 698, 905, 658

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


Find the LCM of 345, 141, 698, 905, 658 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 345, 141, 698, 905, 658. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 345,141,698,905,658

Given numbers are 345,141,698,905,658

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

The LCM of 345,141,698,905,658 is 14339994690.

Find LCM of 345,141,698,905,658 with Prime Factorization


2 345, 141, 698, 905, 658
3 345, 141, 349, 905, 329
5 115, 47, 349, 905, 329
47 23, 47, 349, 181, 329
23, 1, 349, 181, 7

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

2 x 3 x 5 x 47 x 23 x 1 x 349 x 181 x 7 = 14339994690

Therefore, the lowest common multiple of 345,141,698,905,658 is 14339994690.

LCM Formula to Find Lowest Common Multiple of 345,141,698,905,658

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.

345 x 141 x 698 x 905 x 658 = 20219392512900

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.

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

141 : 1, 3, 47, 141

698 : 1, 2, 349, 698

905 : 1, 5, 181, 905

658 : 1, 2, 7, 14, 47, 94, 329, 658

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 345,141,698,905,658, is 1.

Now, the common factors can be found like this.

345:3x 5x 23

141:3x 47

698:2x 349

905:5x 181

658:2x 7x 47

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

2x 3x 5x 47 = 1410

Therefore, the value for common factors is 1410.

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 = 20219392512900/(1x1410)

LCM = 20219392512900/1410

LCM = 14339994690

Thus, we can understand that the LCM of 345,141,698,905,658 is 14339994690.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 345, 141, 698, 905, 658

1. What is the LCM of 345, 141, 698, 905, 658?

Answer: LCM of 345, 141, 698, 905, 658 is 14339994690.

2. How to calculate the LCM of 345, 141, 698, 905, 658?

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 345, 141, 698, 905, 658.

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}.