LCM of 940, 381, 830, 968, 509
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 940, 381, 830, 968, 509 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 940, 381, 830, 968, 509. So, keep reading to learn more.
Given numbers are 940,381,830,968,509
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 940,381,830,968,509 is 3661542420360.
Find LCM of 940,381,830,968,509 with Prime Factorization
| 2 | 940, 381, 830, 968, 509 |
| 2 | 470, 381, 415, 484, 509 |
| 5 | 235, 381, 415, 242, 509 |
| 47, 381, 83, 242, 509 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 47 x 381 x 83 x 242 x 509 = 3661542420360
Therefore, the lowest common multiple of 940,381,830,968,509 is 3661542420360.
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.
940 x 381 x 830 x 968 x 509 = 146461696814400
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.
940 : 1, 2, 4, 5, 10, 20, 47, 94, 188, 235, 470, 940
381 : 1, 3, 127, 381
830 : 1, 2, 5, 10, 83, 166, 415, 830
968 : 1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968
509 : 1, 509
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 940,381,830,968,509, is 1.
Now, the common factors can be found like this.
940:2x 2x 5x 47
381:3x 127
830:2x 5x 83
968:2x 2x 2x 11x 11
509:509
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 5 = 40
Therefore, the value for common factors is 40.
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 = 146461696814400/(1x40)
LCM = 146461696814400/40
LCM = 3661542420360
Thus, we can understand that the LCM of 940,381,830,968,509 is 3661542420360.
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FAQs on LCM of 940, 381, 830, 968, 509
1. What is the LCM of 940, 381, 830, 968, 509?
Answer: LCM of 940, 381, 830, 968, 509 is 3661542420360.
2. How to calculate the LCM of 940, 381, 830, 968, 509?
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 940, 381, 830, 968, 509.
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}.