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LCM of 345, 417, 973, 391

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


Find the LCM of 345, 417, 973, 391 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, 417, 973, 391. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 345,417,973,391

Given numbers are 345,417,973,391

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

The LCM of 345,417,973,391 is 5706645.

Find LCM of 345,417,973,391 with Prime Factorization


3 345, 417, 973, 391
23 115, 139, 973, 391
139 5, 139, 973, 17
5, 1, 7, 17

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

3 x 23 x 139 x 5 x 1 x 7 x 17 = 5706645

Therefore, the lowest common multiple of 345,417,973,391 is 5706645.

LCM Formula to Find Lowest Common Multiple of 345,417,973,391

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 417 x 973 x 391 = 54732432195

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

417 : 1, 3, 139, 417

973 : 1, 7, 139, 973

391 : 1, 17, 23, 391

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 345,417,973,391, is 1.

Now, the common factors can be found like this.

345:3x 5x 23

417:3x 139

973:7x 139

391:17x 23

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

3x 23x 139 = 9591

Therefore, the value for common factors is 9591.

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 = 54732432195/(1x9591)

LCM = 54732432195/9591

LCM = 5706645

Thus, we can understand that the LCM of 345,417,973,391 is 5706645.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 345, 417, 973, 391

1. What is the LCM of 345, 417, 973, 391?

Answer: LCM of 345, 417, 973, 391 is 5706645.

2. How to calculate the LCM of 345, 417, 973, 391?

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, 417, 973, 391.

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}.