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LCM of 602, 207, 104, 345

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


Find the LCM of 602, 207, 104, 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 602, 207, 104, 345. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 602,207,104,345

Given numbers are 602,207,104,345

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

The LCM of 602,207,104,345 is 32399640.

Find LCM of 602,207,104,345 with Prime Factorization


2 602, 207, 104, 345
3 301, 207, 52, 345
23 301, 69, 52, 115
301, 3, 52, 5

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

2 x 3 x 23 x 301 x 3 x 52 x 5 = 32399640

Therefore, the lowest common multiple of 602,207,104,345 is 32399640.

LCM Formula to Find Lowest Common Multiple of 602,207,104,345

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.

602 x 207 x 104 x 345 = 4471150320

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.

602 : 1, 2, 7, 14, 43, 86, 301, 602

207 : 1, 3, 9, 23, 69, 207

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

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 602,207,104,345, is 1.

Now, the common factors can be found like this.

602:2x 7x 43

207:3x 3x 23

104:2x 2x 2x 13

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 3x 23 = 138

Therefore, the value for common factors is 138.

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 = 4471150320/(1x138)

LCM = 4471150320/138

LCM = 32399640

Thus, we can understand that the LCM of 602,207,104,345 is 32399640.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 602, 207, 104, 345

1. What is the LCM of 602, 207, 104, 345?

Answer: LCM of 602, 207, 104, 345 is 32399640.

2. How to calculate the LCM of 602, 207, 104, 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 602, 207, 104, 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}.