LCM of 876, 814, 556, 664
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 876, 814, 556, 664 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 876, 814, 556, 664. So, keep reading to learn more.
Given numbers are 876,814,556,664
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 876,814,556,664 is 8226619368.
Find LCM of 876,814,556,664 with Prime Factorization
| 2 | 876, 814, 556, 664 |
| 2 | 438, 407, 278, 332 |
| 219, 407, 139, 166 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 219 x 407 x 139 x 166 = 8226619368
Therefore, the lowest common multiple of 876,814,556,664 is 8226619368.
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.
876 x 814 x 556 x 664 = 263251819776
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.
876 : 1, 2, 3, 4, 6, 12, 73, 146, 219, 292, 438, 876
814 : 1, 2, 11, 22, 37, 74, 407, 814
556 : 1, 2, 4, 139, 278, 556
664 : 1, 2, 4, 8, 83, 166, 332, 664
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 876,814,556,664, is 2.
Now, the common factors can be found like this.
876:2x 2x 3x 73
814:2x 11x 37
556:2x 2x 139
664:2x 2x 2x 83
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 = 263251819776/(2x16)
LCM = 263251819776/32
LCM = 8226619368
Thus, we can understand that the LCM of 876,814,556,664 is 8226619368.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 876, 814, 556, 664
1. What is the LCM of 876, 814, 556, 664?
Answer: LCM of 876, 814, 556, 664 is 8226619368.
2. How to calculate the LCM of 876, 814, 556, 664?
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 876, 814, 556, 664.
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}.