LCM of 877, 430, 627, 258, 666
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 877, 430, 627, 258, 666 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 877, 430, 627, 258, 666. So, keep reading to learn more.
Given numbers are 877,430,627,258,666
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 877,430,627,258,666 is 26245724670.
Find LCM of 877,430,627,258,666 with Prime Factorization
| 2 | 877, 430, 627, 258, 666 |
| 3 | 877, 215, 627, 129, 333 |
| 43 | 877, 215, 209, 43, 111 |
| 877, 5, 209, 1, 111 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 43 x 877 x 5 x 209 x 1 x 111 = 26245724670
Therefore, the lowest common multiple of 877,430,627,258,666 is 26245724670.
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.
877 x 430 x 627 x 258 x 666 = 40628381789160
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.
877 : 1, 877
430 : 1, 2, 5, 10, 43, 86, 215, 430
627 : 1, 3, 11, 19, 33, 57, 209, 627
258 : 1, 2, 3, 6, 43, 86, 129, 258
666 : 1, 2, 3, 6, 9, 18, 37, 74, 111, 222, 333, 666
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 877,430,627,258,666, is 1.
Now, the common factors can be found like this.
877:877
430:2x 5x 43
627:3x 11x 19
258:2x 3x 43
666:2x 3x 3x 37
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 43 = 1548
Therefore, the value for common factors is 1548.
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 = 40628381789160/(1x1548)
LCM = 40628381789160/1548
LCM = 26245724670
Thus, we can understand that the LCM of 877,430,627,258,666 is 26245724670.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 877, 430, 627, 258, 666
1. What is the LCM of 877, 430, 627, 258, 666?
Answer: LCM of 877, 430, 627, 258, 666 is 26245724670.
2. How to calculate the LCM of 877, 430, 627, 258, 666?
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 877, 430, 627, 258, 666.
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}.