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LCM of 774, 882, 621, 828

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


Find the LCM of 774, 882, 621, 828 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 774, 882, 621, 828. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 774,882,621,828

Given numbers are 774,882,621,828

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

The LCM of 774,882,621,828 is 5233788.

Find LCM of 774,882,621,828 with Prime Factorization


2 774, 882, 621, 828
3 387, 441, 621, 414
3 129, 147, 207, 138
23 43, 49, 69, 46
43, 49, 3, 2

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

2 x 3 x 3 x 23 x 43 x 49 x 3 x 2 = 5233788

Therefore, the lowest common multiple of 774,882,621,828 is 5233788.

LCM Formula to Find Lowest Common Multiple of 774,882,621,828

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.

774 x 882 x 621 x 828 = 351019693584

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.

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

882 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 49, 63, 98, 126, 147, 294, 441, 882

621 : 1, 3, 9, 23, 27, 69, 207, 621

828 : 1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

9 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 774,882,621,828, is 9.

Now, the common factors can be found like this.

774:2x 3x 3x 43

882:2x 3x 3x 7x 7

621:3x 3x 3x 23

828:2x 2x 3x 3x 23

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 3x 3x 3x 3x 23 = 7452

Therefore, the value for common factors is 7452.

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 = 351019693584/(9x7452)

LCM = 351019693584/67068

LCM = 5233788

Thus, we can understand that the LCM of 774,882,621,828 is 5233788.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 774, 882, 621, 828

1. What is the LCM of 774, 882, 621, 828?

Answer: LCM of 774, 882, 621, 828 is 5233788.

2. How to calculate the LCM of 774, 882, 621, 828?

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 774, 882, 621, 828.

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}.