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LCM of 275, 152, 408, 168, 391

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


Find the LCM of 275, 152, 408, 168, 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 275, 152, 408, 168, 391. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 275,152,408,168,391

Given numbers are 275,152,408,168,391

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

The LCM of 275,152,408,168,391 is 343219800.

Find LCM of 275,152,408,168,391 with Prime Factorization


2 275, 152, 408, 168, 391
2 275, 76, 204, 84, 391
2 275, 38, 102, 42, 391
3 275, 19, 51, 21, 391
17 275, 19, 17, 7, 391
275, 19, 1, 7, 23

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

2 x 2 x 2 x 3 x 17 x 275 x 19 x 1 x 7 x 23 = 343219800

Therefore, the lowest common multiple of 275,152,408,168,391 is 343219800.

LCM Formula to Find Lowest Common Multiple of 275,152,408,168,391

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.

275 x 152 x 408 x 168 x 391 = 1120269427200

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.

275 : 1, 5, 11, 25, 55, 275

152 : 1, 2, 4, 8, 19, 38, 76, 152

408 : 1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408

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

391 : 1, 17, 23, 391

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 275,152,408,168,391, is 1.

Now, the common factors can be found like this.

275:5x 5x 11

152:2x 2x 2x 19

408:2x 2x 2x 3x 17

168:2x 2x 2x 3x 7

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.

2x 2x 2x 2x 2x 2x 3x 17 = 3264

Therefore, the value for common factors is 3264.

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 = 1120269427200/(1x3264)

LCM = 1120269427200/3264

LCM = 343219800

Thus, we can understand that the LCM of 275,152,408,168,391 is 343219800.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 275, 152, 408, 168, 391

1. What is the LCM of 275, 152, 408, 168, 391?

Answer: LCM of 275, 152, 408, 168, 391 is 343219800.

2. How to calculate the LCM of 275, 152, 408, 168, 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 275, 152, 408, 168, 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}.