LCM of 836, 970, 916, 914, 570
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 836, 970, 916, 914, 570 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 836, 970, 916, 914, 570. So, keep reading to learn more.
Given numbers are 836,970,916,914,570
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 836,970,916,914,570 is 127297816140.
Find LCM of 836,970,916,914,570 with Prime Factorization
| 2 | 836, 970, 916, 914, 570 |
| 2 | 418, 485, 458, 457, 285 |
| 5 | 209, 485, 229, 457, 285 |
| 19 | 209, 97, 229, 457, 57 |
| 11, 97, 229, 457, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 19 x 11 x 97 x 229 x 457 x 3 = 127297816140
Therefore, the lowest common multiple of 836,970,916,914,570 is 127297816140.
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.
836 x 970 x 916 x 914 x 570 = 386985361065600
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.
836 : 1, 2, 4, 11, 19, 22, 38, 44, 76, 209, 418, 836
970 : 1, 2, 5, 10, 97, 194, 485, 970
916 : 1, 2, 4, 229, 458, 916
914 : 1, 2, 457, 914
570 : 1, 2, 3, 5, 6, 10, 15, 19, 30, 38, 57, 95, 114, 190, 285, 570
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 836,970,916,914,570, is 2.
Now, the common factors can be found like this.
836:2x 2x 11x 19
970:2x 5x 97
916:2x 2x 229
914:2x 457
570:2x 3x 5x 19
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 5x 19 = 1520
Therefore, the value for common factors is 1520.
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 = 386985361065600/(2x1520)
LCM = 386985361065600/3040
LCM = 127297816140
Thus, we can understand that the LCM of 836,970,916,914,570 is 127297816140.
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FAQs on LCM of 836, 970, 916, 914, 570
1. What is the LCM of 836, 970, 916, 914, 570?
Answer: LCM of 836, 970, 916, 914, 570 is 127297816140.
2. How to calculate the LCM of 836, 970, 916, 914, 570?
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 836, 970, 916, 914, 570.
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}.