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LCM of 343, 801, 168, 544

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


Find the LCM of 343, 801, 168, 544 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 343, 801, 168, 544. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 343,801,168,544

Given numbers are 343,801,168,544

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

The LCM of 343,801,168,544 is 149460192.

Find LCM of 343,801,168,544 with Prime Factorization


2 343, 801, 168, 544
2 343, 801, 84, 272
2 343, 801, 42, 136
3 343, 801, 21, 68
7 343, 267, 7, 68
49, 267, 1, 68

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

2 x 2 x 2 x 3 x 7 x 49 x 267 x 1 x 68 = 149460192

Therefore, the lowest common multiple of 343,801,168,544 is 149460192.

LCM Formula to Find Lowest Common Multiple of 343,801,168,544

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.

343 x 801 x 168 x 544 = 25109312256

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.

343 : 1, 7, 49, 343

801 : 1, 3, 9, 89, 267, 801

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

544 : 1, 2, 4, 8, 16, 17, 32, 34, 68, 136, 272, 544

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 343,801,168,544, is 1.

Now, the common factors can be found like this.

343:7x 7x 7

801:3x 3x 89

168:2x 2x 2x 3x 7

544:2x 2x 2x 2x 2x 17

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 3x 7 = 168

Therefore, the value for common factors is 168.

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 = 25109312256/(1x168)

LCM = 25109312256/168

LCM = 149460192

Thus, we can understand that the LCM of 343,801,168,544 is 149460192.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 343, 801, 168, 544

1. What is the LCM of 343, 801, 168, 544?

Answer: LCM of 343, 801, 168, 544 is 149460192.

2. How to calculate the LCM of 343, 801, 168, 544?

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 343, 801, 168, 544.

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}.