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LCM of 336, 136, 398, 291, 406

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


Find the LCM of 336, 136, 398, 291, 406 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 336, 136, 398, 291, 406. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 336,136,398,291,406

Given numbers are 336,136,398,291,406

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

The LCM of 336,136,398,291,406 is 3197503344.

Find LCM of 336,136,398,291,406 with Prime Factorization


2 336, 136, 398, 291, 406
2 168, 68, 199, 291, 203
2 84, 34, 199, 291, 203
3 42, 17, 199, 291, 203
7 14, 17, 199, 97, 203
2, 17, 199, 97, 29

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

2 x 2 x 2 x 3 x 7 x 2 x 17 x 199 x 97 x 29 = 3197503344

Therefore, the lowest common multiple of 336,136,398,291,406 is 3197503344.

LCM Formula to Find Lowest Common Multiple of 336,136,398,291,406

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.

336 x 136 x 398 x 291 x 406 = 2148722247168

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.

336 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 336

136 : 1, 2, 4, 8, 17, 34, 68, 136

398 : 1, 2, 199, 398

291 : 1, 3, 97, 291

406 : 1, 2, 7, 14, 29, 58, 203, 406

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 336,136,398,291,406, is 1.

Now, the common factors can be found like this.

336:2x 2x 2x 2x 3x 7

136:2x 2x 2x 17

398:2x 199

291:3x 97

406:2x 7x 29

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

2x 2x 2x 2x 2x 3x 7 = 672

Therefore, the value for common factors is 672.

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 = 2148722247168/(1x672)

LCM = 2148722247168/672

LCM = 3197503344

Thus, we can understand that the LCM of 336,136,398,291,406 is 3197503344.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 336, 136, 398, 291, 406

1. What is the LCM of 336, 136, 398, 291, 406?

Answer: LCM of 336, 136, 398, 291, 406 is 3197503344.

2. How to calculate the LCM of 336, 136, 398, 291, 406?

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 336, 136, 398, 291, 406.

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}.