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LCM of 169, 542, 326, 704

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


Find the LCM of 169, 542, 326, 704 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 169, 542, 326, 704. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 169,542,326,704

Given numbers are 169,542,326,704

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

The LCM of 169,542,326,704 is 5255526848.

Find LCM of 169,542,326,704 with Prime Factorization


2 169, 542, 326, 704
169, 271, 163, 352

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

2 x 169 x 271 x 163 x 352 = 5255526848

Therefore, the lowest common multiple of 169,542,326,704 is 5255526848.

LCM Formula to Find Lowest Common Multiple of 169,542,326,704

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.

169 x 542 x 326 x 704 = 21022107392

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.

169 : 1, 13, 169

542 : 1, 2, 271, 542

326 : 1, 2, 163, 326

704 : 1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 169,542,326,704, is 1.

Now, the common factors can be found like this.

169:13x 13

542:2x 271

326:2x 163

704:2x 2x 2x 2x 2x 2x 11

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 21022107392/(1x4)

LCM = 21022107392/4

LCM = 5255526848

Thus, we can understand that the LCM of 169,542,326,704 is 5255526848.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 169, 542, 326, 704

1. What is the LCM of 169, 542, 326, 704?

Answer: LCM of 169, 542, 326, 704 is 5255526848.

2. How to calculate the LCM of 169, 542, 326, 704?

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 169, 542, 326, 704.

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}.