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LCM of 734, 935, 412, 346

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


Find the LCM of 734, 935, 412, 346 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 734, 935, 412, 346. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 734,935,412,346

Given numbers are 734,935,412,346

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

The LCM of 734,935,412,346 is 24458003020.

Find LCM of 734,935,412,346 with Prime Factorization


2 734, 935, 412, 346
367, 935, 206, 173

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

2 x 367 x 935 x 206 x 173 = 24458003020

Therefore, the lowest common multiple of 734,935,412,346 is 24458003020.

LCM Formula to Find Lowest Common Multiple of 734,935,412,346

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.

734 x 935 x 412 x 346 = 97832012080

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.

734 : 1, 2, 367, 734

935 : 1, 5, 11, 17, 55, 85, 187, 935

412 : 1, 2, 4, 103, 206, 412

346 : 1, 2, 173, 346

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 734,935,412,346, is 1.

Now, the common factors can be found like this.

734:2x 367

935:5x 11x 17

412:2x 2x 103

346:2x 173

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 97832012080/(1x4)

LCM = 97832012080/4

LCM = 24458003020

Thus, we can understand that the LCM of 734,935,412,346 is 24458003020.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 734, 935, 412, 346

1. What is the LCM of 734, 935, 412, 346?

Answer: LCM of 734, 935, 412, 346 is 24458003020.

2. How to calculate the LCM of 734, 935, 412, 346?

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 734, 935, 412, 346.

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}.