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LCM of 326, 944, 507, 169

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


Find the LCM of 326, 944, 507, 169 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 326, 944, 507, 169. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 326,944,507,169

Given numbers are 326,944,507,169

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

The LCM of 326,944,507,169 is 78013104.

Find LCM of 326,944,507,169 with Prime Factorization


2 326, 944, 507, 169
13 163, 472, 507, 169
13 163, 472, 39, 13
163, 472, 3, 1

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

2 x 13 x 13 x 163 x 472 x 3 x 1 = 78013104

Therefore, the lowest common multiple of 326,944,507,169 is 78013104.

LCM Formula to Find Lowest Common Multiple of 326,944,507,169

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.

326 x 944 x 507 x 169 = 26368429152

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.

326 : 1, 2, 163, 326

944 : 1, 2, 4, 8, 16, 59, 118, 236, 472, 944

507 : 1, 3, 13, 39, 169, 507

169 : 1, 13, 169

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 326,944,507,169, is 1.

Now, the common factors can be found like this.

326:2x 163

944:2x 2x 2x 2x 59

507:3x 13x 13

169:13x 13

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

2x 13x 13 = 338

Therefore, the value for common factors is 338.

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 = 26368429152/(1x338)

LCM = 26368429152/338

LCM = 78013104

Thus, we can understand that the LCM of 326,944,507,169 is 78013104.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 326, 944, 507, 169

1. What is the LCM of 326, 944, 507, 169?

Answer: LCM of 326, 944, 507, 169 is 78013104.

2. How to calculate the LCM of 326, 944, 507, 169?

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 326, 944, 507, 169.

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}.