LCM of 379, 221, 168, 748, 858
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 379, 221, 168, 748, 858 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 379, 221, 168, 748, 858. So, keep reading to learn more.
Given numbers are 379,221,168,748,858
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 379,221,168,748,858 is 154786632.
Find LCM of 379,221,168,748,858 with Prime Factorization
| 2 | 379, 221, 168, 748, 858 |
| 2 | 379, 221, 84, 374, 429 |
| 3 | 379, 221, 42, 187, 429 |
| 11 | 379, 221, 14, 187, 143 |
| 13 | 379, 221, 14, 17, 13 |
| 17 | 379, 17, 14, 17, 1 |
| 379, 1, 14, 1, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 11 x 13 x 17 x 379 x 1 x 14 x 1 x 1 = 154786632
Therefore, the lowest common multiple of 379,221,168,748,858 is 154786632.
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.
379 x 221 x 168 x 748 x 858 = 9030871257408
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.
379 : 1, 379
221 : 1, 13, 17, 221
168 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168
748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
858 : 1, 2, 3, 6, 11, 13, 22, 26, 33, 39, 66, 78, 143, 286, 429, 858
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 379,221,168,748,858, is 1.
Now, the common factors can be found like this.
379:379
221:13x 17
168:2x 2x 2x 3x 7
748:2x 2x 11x 17
858:2x 3x 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 2x 2x 3x 11x 13x 17 = 58344
Therefore, the value for common factors is 58344.
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 = 9030871257408/(1x58344)
LCM = 9030871257408/58344
LCM = 154786632
Thus, we can understand that the LCM of 379,221,168,748,858 is 154786632.
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FAQs on LCM of 379, 221, 168, 748, 858
1. What is the LCM of 379, 221, 168, 748, 858?
Answer: LCM of 379, 221, 168, 748, 858 is 154786632.
2. How to calculate the LCM of 379, 221, 168, 748, 858?
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 379, 221, 168, 748, 858.
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}.