LCM of 836, 686, 319, 464, 145
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 836, 686, 319, 464, 145 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, 686, 319, 464, 145. So, keep reading to learn more.
Given numbers are 836,686,319,464,145
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 836,686,319,464,145 is 166313840.
Find LCM of 836,686,319,464,145 with Prime Factorization
| 2 | 836, 686, 319, 464, 145 |
| 2 | 418, 343, 319, 232, 145 |
| 11 | 209, 343, 319, 116, 145 |
| 29 | 19, 343, 29, 116, 145 |
| 19, 343, 1, 4, 5 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 11 x 29 x 19 x 343 x 1 x 4 x 5 = 166313840
Therefore, the lowest common multiple of 836,686,319,464,145 is 166313840.
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 686 x 319 x 464 x 145 = 12308554670720
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
686 : 1, 2, 7, 14, 49, 98, 343, 686
319 : 1, 11, 29, 319
464 : 1, 2, 4, 8, 16, 29, 58, 116, 232, 464
145 : 1, 5, 29, 145
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 836,686,319,464,145, is 1.
Now, the common factors can be found like this.
836:2x 2x 11x 19
686:2x 7x 7x 7
319:11x 29
464:2x 2x 2x 2x 29
145:5x 29
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 11x 29x 29 = 74008
Therefore, the value for common factors is 74008.
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 = 12308554670720/(1x74008)
LCM = 12308554670720/74008
LCM = 166313840
Thus, we can understand that the LCM of 836,686,319,464,145 is 166313840.
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FAQs on LCM of 836, 686, 319, 464, 145
1. What is the LCM of 836, 686, 319, 464, 145?
Answer: LCM of 836, 686, 319, 464, 145 is 166313840.
2. How to calculate the LCM of 836, 686, 319, 464, 145?
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, 686, 319, 464, 145.
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}.