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LCM of 832, 337, 414, 618

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


Find the LCM of 832, 337, 414, 618 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 832, 337, 414, 618. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 832,337,414,618

Given numbers are 832,337,414,618

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

The LCM of 832,337,414,618 is 5978067264.

Find LCM of 832,337,414,618 with Prime Factorization


2 832, 337, 414, 618
3 416, 337, 207, 309
416, 337, 69, 103

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

2 x 3 x 416 x 337 x 69 x 103 = 5978067264

Therefore, the lowest common multiple of 832,337,414,618 is 5978067264.

LCM Formula to Find Lowest Common Multiple of 832,337,414,618

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.

832 x 337 x 414 x 618 = 71736807168

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.

832 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 64, 104, 208, 416, 832

337 : 1, 337

414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

618 : 1, 2, 3, 6, 103, 206, 309, 618

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 832,337,414,618, is 1.

Now, the common factors can be found like this.

832:2x 2x 2x 2x 2x 2x 13

337:337

414:2x 3x 3x 23

618:2x 3x 103

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 = 71736807168/(1x12)

LCM = 71736807168/12

LCM = 5978067264

Thus, we can understand that the LCM of 832,337,414,618 is 5978067264.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 832, 337, 414, 618

1. What is the LCM of 832, 337, 414, 618?

Answer: LCM of 832, 337, 414, 618 is 5978067264.

2. How to calculate the LCM of 832, 337, 414, 618?

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 832, 337, 414, 618.

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}.