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LCM of 511, 219, 774, 441

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


Find the LCM of 511, 219, 774, 441 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 511, 219, 774, 441. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 511,219,774,441

Given numbers are 511,219,774,441

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

The LCM of 511,219,774,441 is 2768598.

Find LCM of 511,219,774,441 with Prime Factorization


3 511, 219, 774, 441
3 511, 73, 258, 147
7 511, 73, 86, 49
73 73, 73, 86, 7
1, 1, 86, 7

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

3 x 3 x 7 x 73 x 1 x 1 x 86 x 7 = 2768598

Therefore, the lowest common multiple of 511,219,774,441 is 2768598.

LCM Formula to Find Lowest Common Multiple of 511,219,774,441

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.

511 x 219 x 774 x 441 = 38198346606

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.

511 : 1, 7, 73, 511

219 : 1, 3, 73, 219

774 : 1, 2, 3, 6, 9, 18, 43, 86, 129, 258, 387, 774

441 : 1, 3, 7, 9, 21, 49, 63, 147, 441

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 511,219,774,441, is 1.

Now, the common factors can be found like this.

511:7x 73

219:3x 73

774:2x 3x 3x 43

441:3x 3x 7x 7

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 3x 7x 73 = 13797

Therefore, the value for common factors is 13797.

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 = 38198346606/(1x13797)

LCM = 38198346606/13797

LCM = 2768598

Thus, we can understand that the LCM of 511,219,774,441 is 2768598.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 511, 219, 774, 441

1. What is the LCM of 511, 219, 774, 441?

Answer: LCM of 511, 219, 774, 441 is 2768598.

2. How to calculate the LCM of 511, 219, 774, 441?

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 511, 219, 774, 441.

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}.