Find the LCM of 327, 451, 868, 638, 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 327, 451, 868, 638, 119. So, keep reading to learn more.
Given numbers are 327,451,868,638,119
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 327,451,868,638,119 is 63108947748.
Find LCM of 327,451,868,638,119 with Prime Factorization
2 | 327, 451, 868, 638, 119 |
7 | 327, 451, 434, 319, 119 |
11 | 327, 451, 62, 319, 17 |
327, 41, 62, 29, 17 |
Multiply the prime numbers at the bottom and the left side.
2 x 7 x 11 x 327 x 41 x 62 x 29 x 17 = 63108947748
Therefore, the lowest common multiple of 327,451,868,638,119 is 63108947748.
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.
327 x 451 x 868 x 638 x 119 = 9718777953192
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.
327 : 1, 3, 109, 327
451 : 1, 11, 41, 451
868 : 1, 2, 4, 7, 14, 28, 31, 62, 124, 217, 434, 868
638 : 1, 2, 11, 22, 29, 58, 319, 638
119 : 1, 7, 17, 119
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 327,451,868,638,119, is 1.
Now, the common factors can be found like this.
327:3x 109
451:11x 41
868:2x 2x 7x 31
638:2x 11x 29
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 7x 11 = 154
Therefore, the value for common factors is 154.
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 = 9718777953192/(1x154)
LCM = 9718777953192/154
LCM = 63108947748
Thus, we can understand that the LCM of 327,451,868,638,119 is 63108947748.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 327, 451, 868, 638, 119?
Answer: LCM of 327, 451, 868, 638, 119 is 63108947748.
2. How to calculate the LCM of 327, 451, 868, 638, 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 327, 451, 868, 638, 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}.