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LCM of 345, 984, 138, 335, 367

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


Find the LCM of 345, 984, 138, 335, 367 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, 984, 138, 335, 367. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 345,984,138,335,367

Given numbers are 345,984,138,335,367

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

The LCM of 345,984,138,335,367 is 2782491240.

Find LCM of 345,984,138,335,367 with Prime Factorization


2 345, 984, 138, 335, 367
3 345, 492, 69, 335, 367
5 115, 164, 23, 335, 367
23 23, 164, 23, 67, 367
1, 164, 1, 67, 367

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

2 x 3 x 5 x 23 x 1 x 164 x 1 x 67 x 367 = 2782491240

Therefore, the lowest common multiple of 345,984,138,335,367 is 2782491240.

LCM Formula to Find Lowest Common Multiple of 345,984,138,335,367

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 984 x 138 x 335 x 367 = 5759756866800

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

984 : 1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984

138 : 1, 2, 3, 6, 23, 46, 69, 138

335 : 1, 5, 67, 335

367 : 1, 367

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 345,984,138,335,367, is 1.

Now, the common factors can be found like this.

345:3x 5x 23

984:2x 2x 2x 3x 41

138:2x 3x 23

335:5x 67

367:367

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 3x 5x 23 = 2070

Therefore, the value for common factors is 2070.

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 = 5759756866800/(1x2070)

LCM = 5759756866800/2070

LCM = 2782491240

Thus, we can understand that the LCM of 345,984,138,335,367 is 2782491240.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 345, 984, 138, 335, 367

1. What is the LCM of 345, 984, 138, 335, 367?

Answer: LCM of 345, 984, 138, 335, 367 is 2782491240.

2. How to calculate the LCM of 345, 984, 138, 335, 367?

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, 984, 138, 335, 367.

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}.