LCM of 379, 793, 686, 357, 981
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 379, 793, 686, 357, 981 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, 793, 686, 357, 981. So, keep reading to learn more.
Given numbers are 379,793,686,357,981
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 379,793,686,357,981 is 3438384510834.
Find LCM of 379,793,686,357,981 with Prime Factorization
| 3 | 379, 793, 686, 357, 981 |
| 7 | 379, 793, 686, 119, 327 |
| 379, 793, 98, 17, 327 |
Multiply the prime numbers at the bottom and the left side.
3 x 7 x 379 x 793 x 98 x 17 x 327 = 3438384510834
Therefore, the lowest common multiple of 379,793,686,357,981 is 3438384510834.
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 793 x 686 x 357 x 981 = 72206074727514
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
793 : 1, 13, 61, 793
686 : 1, 2, 7, 14, 49, 98, 343, 686
357 : 1, 3, 7, 17, 21, 51, 119, 357
981 : 1, 3, 9, 109, 327, 981
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 379,793,686,357,981, is 1.
Now, the common factors can be found like this.
379:379
793:13x 61
686:2x 7x 7x 7
357:3x 7x 17
981:3x 3x 109
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 7 = 21
Therefore, the value for common factors is 21.
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 = 72206074727514/(1x21)
LCM = 72206074727514/21
LCM = 3438384510834
Thus, we can understand that the LCM of 379,793,686,357,981 is 3438384510834.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 379, 793, 686, 357, 981
1. What is the LCM of 379, 793, 686, 357, 981?
Answer: LCM of 379, 793, 686, 357, 981 is 3438384510834.
2. How to calculate the LCM of 379, 793, 686, 357, 981?
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, 793, 686, 357, 981.
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}.