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LCM of 296, 339, 652, 639

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


Find the LCM of 296, 339, 652, 639 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 296, 339, 652, 639. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 296,339,652,639

Given numbers are 296,339,652,639

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

The LCM of 296,339,652,639 is 3483843336.

Find LCM of 296,339,652,639 with Prime Factorization


2 296, 339, 652, 639
2 148, 339, 326, 639
3 74, 339, 163, 639
74, 113, 163, 213

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

2 x 2 x 3 x 74 x 113 x 163 x 213 = 3483843336

Therefore, the lowest common multiple of 296,339,652,639 is 3483843336.

LCM Formula to Find Lowest Common Multiple of 296,339,652,639

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.

296 x 339 x 652 x 639 = 41806120032

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.

296 : 1, 2, 4, 8, 37, 74, 148, 296

339 : 1, 3, 113, 339

652 : 1, 2, 4, 163, 326, 652

639 : 1, 3, 9, 71, 213, 639

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 296,339,652,639, is 1.

Now, the common factors can be found like this.

296:2x 2x 2x 37

339:3x 113

652:2x 2x 163

639:3x 3x 71

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 3 = 12

Therefore, the value for common factors is 12.

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 = 41806120032/(1x12)

LCM = 41806120032/12

LCM = 3483843336

Thus, we can understand that the LCM of 296,339,652,639 is 3483843336.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 296, 339, 652, 639

1. What is the LCM of 296, 339, 652, 639?

Answer: LCM of 296, 339, 652, 639 is 3483843336.

2. How to calculate the LCM of 296, 339, 652, 639?

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 296, 339, 652, 639.

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}.