LCM of 958, 988, 949, 386, 320
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 958, 988, 949, 386, 320 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 958, 988, 949, 386, 320. So, keep reading to learn more.
Given numbers are 958,988,949,386,320
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 958,988,949,386,320 is 533411794240.
Find LCM of 958,988,949,386,320 with Prime Factorization
| 2 | 958, 988, 949, 386, 320 |
| 2 | 479, 494, 949, 193, 160 |
| 13 | 479, 247, 949, 193, 80 |
| 479, 19, 73, 193, 80 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 13 x 479 x 19 x 73 x 193 x 80 = 533411794240
Therefore, the lowest common multiple of 958,988,949,386,320 is 533411794240.
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.
958 x 988 x 949 x 386 x 320 = 110949653201920
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.
958 : 1, 2, 479, 958
988 : 1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988
949 : 1, 13, 73, 949
386 : 1, 2, 193, 386
320 : 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 958,988,949,386,320, is 1.
Now, the common factors can be found like this.
958:2x 479
988:2x 2x 13x 19
949:13x 73
386:2x 193
320:2x 2x 2x 2x 2x 2x 5
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 2x 13 = 208
Therefore, the value for common factors is 208.
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 = 110949653201920/(1x208)
LCM = 110949653201920/208
LCM = 533411794240
Thus, we can understand that the LCM of 958,988,949,386,320 is 533411794240.
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FAQs on LCM of 958, 988, 949, 386, 320
1. What is the LCM of 958, 988, 949, 386, 320?
Answer: LCM of 958, 988, 949, 386, 320 is 533411794240.
2. How to calculate the LCM of 958, 988, 949, 386, 320?
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 958, 988, 949, 386, 320.
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}.