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LCM of 612, 769, 832, 284

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


Find the LCM of 612, 769, 832, 284 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 612, 769, 832, 284. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 612,769,832,284

Given numbers are 612,769,832,284

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

The LCM of 612,769,832,284 is 6950234304.

Find LCM of 612,769,832,284 with Prime Factorization


2 612, 769, 832, 284
2 306, 769, 416, 142
153, 769, 208, 71

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

2 x 2 x 153 x 769 x 208 x 71 = 6950234304

Therefore, the lowest common multiple of 612,769,832,284 is 6950234304.

LCM Formula to Find Lowest Common Multiple of 612,769,832,284

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.

612 x 769 x 832 x 284 = 111203748864

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.

612 : 1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612

769 : 1, 769

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

284 : 1, 2, 4, 71, 142, 284

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 612,769,832,284, is 1.

Now, the common factors can be found like this.

612:2x 2x 3x 3x 17

769:769

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

284:2x 2x 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 2x 2 = 16

Therefore, the value for common factors is 16.

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 = 111203748864/(1x16)

LCM = 111203748864/16

LCM = 6950234304

Thus, we can understand that the LCM of 612,769,832,284 is 6950234304.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 612, 769, 832, 284

1. What is the LCM of 612, 769, 832, 284?

Answer: LCM of 612, 769, 832, 284 is 6950234304.

2. How to calculate the LCM of 612, 769, 832, 284?

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 612, 769, 832, 284.

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}.