LCM of 556, 407, 521, 858, 715
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 556, 407, 521, 858, 715 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 556, 407, 521, 858, 715. So, keep reading to learn more.
Given numbers are 556,407,521,858,715
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 556,407,521,858,715 is 22990135740.
Find LCM of 556,407,521,858,715 with Prime Factorization
| 2 | 556, 407, 521, 858, 715 |
| 11 | 278, 407, 521, 429, 715 |
| 13 | 278, 37, 521, 39, 65 |
| 278, 37, 521, 3, 5 |
Multiply the prime numbers at the bottom and the left side.
2 x 11 x 13 x 278 x 37 x 521 x 3 x 5 = 22990135740
Therefore, the lowest common multiple of 556,407,521,858,715 is 22990135740.
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.
556 x 407 x 521 x 858 x 715 = 72326967038040
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.
556 : 1, 2, 4, 139, 278, 556
407 : 1, 11, 37, 407
521 : 1, 521
858 : 1, 2, 3, 6, 11, 13, 22, 26, 33, 39, 66, 78, 143, 286, 429, 858
715 : 1, 5, 11, 13, 55, 65, 143, 715
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 556,407,521,858,715, is 1.
Now, the common factors can be found like this.
556:2x 2x 139
407:11x 37
521:521
858:2x 3x 11x 13
715:5x 11x 13
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 11x 11x 13 = 3146
Therefore, the value for common factors is 3146.
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 = 72326967038040/(1x3146)
LCM = 72326967038040/3146
LCM = 22990135740
Thus, we can understand that the LCM of 556,407,521,858,715 is 22990135740.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 556, 407, 521, 858, 715
1. What is the LCM of 556, 407, 521, 858, 715?
Answer: LCM of 556, 407, 521, 858, 715 is 22990135740.
2. How to calculate the LCM of 556, 407, 521, 858, 715?
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 556, 407, 521, 858, 715.
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}.