LCM of 379, 493, 264, 758, 119
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 379, 493, 264, 758, 119 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, 493, 264, 758, 119. So, keep reading to learn more.
Given numbers are 379,493,264,758,119
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 379,493,264,758,119 is 345293256.
Find LCM of 379,493,264,758,119 with Prime Factorization
| 2 | 379, 493, 264, 758, 119 |
| 17 | 379, 493, 132, 379, 119 |
| 379 | 379, 29, 132, 379, 7 |
| 1, 29, 132, 1, 7 |
Multiply the prime numbers at the bottom and the left side.
2 x 17 x 379 x 1 x 29 x 132 x 1 x 7 = 345293256
Therefore, the lowest common multiple of 379,493,264,758,119 is 345293256.
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 493 x 264 x 758 x 119 = 4449448896816
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
493 : 1, 17, 29, 493
264 : 1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264
758 : 1, 2, 379, 758
119 : 1, 7, 17, 119
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 379,493,264,758,119, is 1.
Now, the common factors can be found like this.
379:379
493:17x 29
264:2x 2x 2x 3x 11
758:2x 379
119:7x 17
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 17x 379 = 12886
Therefore, the value for common factors is 12886.
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 = 4449448896816/(1x12886)
LCM = 4449448896816/12886
LCM = 345293256
Thus, we can understand that the LCM of 379,493,264,758,119 is 345293256.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 379, 493, 264, 758, 119
1. What is the LCM of 379, 493, 264, 758, 119?
Answer: LCM of 379, 493, 264, 758, 119 is 345293256.
2. How to calculate the LCM of 379, 493, 264, 758, 119?
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, 493, 264, 758, 119.
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}.