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LCM of 838, 458, 339, 551

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


Find the LCM of 838, 458, 339, 551 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 838, 458, 339, 551. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 838,458,339,551

Given numbers are 838,458,339,551

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

The LCM of 838,458,339,551 is 35845182678.

Find LCM of 838,458,339,551 with Prime Factorization


2 838, 458, 339, 551
419, 229, 339, 551

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

2 x 419 x 229 x 339 x 551 = 35845182678

Therefore, the lowest common multiple of 838,458,339,551 is 35845182678.

LCM Formula to Find Lowest Common Multiple of 838,458,339,551

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.

838 x 458 x 339 x 551 = 71690365356

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.

838 : 1, 2, 419, 838

458 : 1, 2, 229, 458

339 : 1, 3, 113, 339

551 : 1, 19, 29, 551

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 838,458,339,551, is 1.

Now, the common factors can be found like this.

838:2x 419

458:2x 229

339:3x 113

551:19x 29

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

2 = 2

Therefore, the value for common factors is 2.

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 = 71690365356/(1x2)

LCM = 71690365356/2

LCM = 35845182678

Thus, we can understand that the LCM of 838,458,339,551 is 35845182678.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 838, 458, 339, 551

1. What is the LCM of 838, 458, 339, 551?

Answer: LCM of 838, 458, 339, 551 is 35845182678.

2. How to calculate the LCM of 838, 458, 339, 551?

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 838, 458, 339, 551.

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}.