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LCM of 326, 602, 767, 531, 764

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


Find the LCM of 326, 602, 767, 531, 764 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, 602, 767, 531, 764. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 326,602,767,531,764

Given numbers are 326,602,767,531,764

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

The LCM of 326,602,767,531,764 is 258752963196.

Find LCM of 326,602,767,531,764 with Prime Factorization


2 326, 602, 767, 531, 764
59 163, 301, 767, 531, 382
163, 301, 13, 9, 382

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

2 x 59 x 163 x 301 x 13 x 9 x 382 = 258752963196

Therefore, the lowest common multiple of 326,602,767,531,764 is 258752963196.

LCM Formula to Find Lowest Common Multiple of 326,602,767,531,764

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 602 x 767 x 531 x 764 = 61065699314256

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

602 : 1, 2, 7, 14, 43, 86, 301, 602

767 : 1, 13, 59, 767

531 : 1, 3, 9, 59, 177, 531

764 : 1, 2, 4, 191, 382, 764

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 326,602,767,531,764, is 1.

Now, the common factors can be found like this.

326:2x 163

602:2x 7x 43

767:13x 59

531:3x 3x 59

764:2x 2x 191

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 59 = 236

Therefore, the value for common factors is 236.

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 = 61065699314256/(1x236)

LCM = 61065699314256/236

LCM = 258752963196

Thus, we can understand that the LCM of 326,602,767,531,764 is 258752963196.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 326, 602, 767, 531, 764

1. What is the LCM of 326, 602, 767, 531, 764?

Answer: LCM of 326, 602, 767, 531, 764 is 258752963196.

2. How to calculate the LCM of 326, 602, 767, 531, 764?

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, 602, 767, 531, 764.

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}.