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LCM of 997, 426, 213, 339

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


Find the LCM of 997, 426, 213, 339 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 997, 426, 213, 339. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 997,426,213,339

Given numbers are 997,426,213,339

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

The LCM of 997,426,213,339 is 47993586.

Find LCM of 997,426,213,339 with Prime Factorization


3 997, 426, 213, 339
71 997, 142, 71, 113
997, 2, 1, 113

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

3 x 71 x 997 x 2 x 1 x 113 = 47993586

Therefore, the lowest common multiple of 997,426,213,339 is 47993586.

LCM Formula to Find Lowest Common Multiple of 997,426,213,339

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.

997 x 426 x 213 x 339 = 30667901454

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.

997 : 1, 997

426 : 1, 2, 3, 6, 71, 142, 213, 426

213 : 1, 3, 71, 213

339 : 1, 3, 113, 339

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 997,426,213,339, is 1.

Now, the common factors can be found like this.

997:997

426:2x 3x 71

213:3x 71

339:3x 113

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

3x 3x 71 = 639

Therefore, the value for common factors is 639.

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 = 30667901454/(1x639)

LCM = 30667901454/639

LCM = 47993586

Thus, we can understand that the LCM of 997,426,213,339 is 47993586.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 997, 426, 213, 339

1. What is the LCM of 997, 426, 213, 339?

Answer: LCM of 997, 426, 213, 339 is 47993586.

2. How to calculate the LCM of 997, 426, 213, 339?

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 997, 426, 213, 339.

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}.