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LCM of 874, 812, 614, 184, 876

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


Find the LCM of 874, 812, 614, 184, 876 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 874, 812, 614, 184, 876. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 874,812,614,184,876

Given numbers are 874,812,614,184,876

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

The LCM of 874,812,614,184,876 is 47714453304.

Find LCM of 874,812,614,184,876 with Prime Factorization


2 874, 812, 614, 184, 876
2 437, 406, 307, 92, 438
23 437, 203, 307, 46, 219
19, 203, 307, 2, 219

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

2 x 2 x 23 x 19 x 203 x 307 x 2 x 219 = 47714453304

Therefore, the lowest common multiple of 874,812,614,184,876 is 47714453304.

LCM Formula to Find Lowest Common Multiple of 874,812,614,184,876

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.

874 x 812 x 614 x 184 x 876 = 70235675263488

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.

874 : 1, 2, 19, 23, 38, 46, 437, 874

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

614 : 1, 2, 307, 614

184 : 1, 2, 4, 8, 23, 46, 92, 184

876 : 1, 2, 3, 4, 6, 12, 73, 146, 219, 292, 438, 876

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 874,812,614,184,876, is 2.

Now, the common factors can be found like this.

874:2x 19x 23

812:2x 2x 7x 29

614:2x 307

184:2x 2x 2x 23

876:2x 2x 3x 73

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 2x 2x 23 = 736

Therefore, the value for common factors is 736.

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 = 70235675263488/(2x736)

LCM = 70235675263488/1472

LCM = 47714453304

Thus, we can understand that the LCM of 874,812,614,184,876 is 47714453304.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 874, 812, 614, 184, 876

1. What is the LCM of 874, 812, 614, 184, 876?

Answer: LCM of 874, 812, 614, 184, 876 is 47714453304.

2. How to calculate the LCM of 874, 812, 614, 184, 876?

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 874, 812, 614, 184, 876.

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}.