LCM of 455, 780, 167, 847, 868
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 455, 780, 167, 847, 868 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 455, 780, 167, 847, 868. So, keep reading to learn more.
Given numbers are 455,780,167,847,868
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 455,780,167,847,868 is 3420236820.
Find LCM of 455,780,167,847,868 with Prime Factorization
| 2 | 455, 780, 167, 847, 868 |
| 2 | 455, 390, 167, 847, 434 |
| 5 | 455, 195, 167, 847, 217 |
| 7 | 91, 39, 167, 847, 217 |
| 13 | 13, 39, 167, 121, 31 |
| 1, 3, 167, 121, 31 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 7 x 13 x 1 x 3 x 167 x 121 x 31 = 3420236820
Therefore, the lowest common multiple of 455,780,167,847,868 is 3420236820.
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.
455 x 780 x 167 x 847 x 868 = 43573817086800
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.
455 : 1, 5, 7, 13, 35, 65, 91, 455
780 : 1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780
167 : 1, 167
847 : 1, 7, 11, 77, 121, 847
868 : 1, 2, 4, 7, 14, 28, 31, 62, 124, 217, 434, 868
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 455,780,167,847,868, is 1.
Now, the common factors can be found like this.
455:5x 7x 13
780:2x 2x 3x 5x 13
167:167
847:7x 11x 11
868:2x 2x 7x 31
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 5x 7x 7x 13 = 12740
Therefore, the value for common factors is 12740.
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 = 43573817086800/(1x12740)
LCM = 43573817086800/12740
LCM = 3420236820
Thus, we can understand that the LCM of 455,780,167,847,868 is 3420236820.
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FAQs on LCM of 455, 780, 167, 847, 868
1. What is the LCM of 455, 780, 167, 847, 868?
Answer: LCM of 455, 780, 167, 847, 868 is 3420236820.
2. How to calculate the LCM of 455, 780, 167, 847, 868?
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 455, 780, 167, 847, 868.
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}.