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LCM of 554, 884, 812, 741

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


Find the LCM of 554, 884, 812, 741 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 554, 884, 812, 741. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 554,884,812,741

Given numbers are 554,884,812,741

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

The LCM of 554,884,812,741 is 2833367628.

Find LCM of 554,884,812,741 with Prime Factorization


2 554, 884, 812, 741
2 277, 442, 406, 741
13 277, 221, 203, 741
277, 17, 203, 57

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

2 x 2 x 13 x 277 x 17 x 203 x 57 = 2833367628

Therefore, the lowest common multiple of 554,884,812,741 is 2833367628.

LCM Formula to Find Lowest Common Multiple of 554,884,812,741

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.

554 x 884 x 812 x 741 = 294670233312

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.

554 : 1, 2, 277, 554

884 : 1, 2, 4, 13, 17, 26, 34, 52, 68, 221, 442, 884

812 : 1, 2, 4, 7, 14, 28, 29, 58, 116, 203, 406, 812

741 : 1, 3, 13, 19, 39, 57, 247, 741

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 554,884,812,741, is 1.

Now, the common factors can be found like this.

554:2x 277

884:2x 2x 13x 17

812:2x 2x 7x 29

741:3x 13x 19

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 13 = 104

Therefore, the value for common factors is 104.

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 = 294670233312/(1x104)

LCM = 294670233312/104

LCM = 2833367628

Thus, we can understand that the LCM of 554,884,812,741 is 2833367628.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 554, 884, 812, 741

1. What is the LCM of 554, 884, 812, 741?

Answer: LCM of 554, 884, 812, 741 is 2833367628.

2. How to calculate the LCM of 554, 884, 812, 741?

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 554, 884, 812, 741.

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}.