LCM of 919, 910, 654, 500, 919
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 919, 910, 654, 500, 919 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 919, 910, 654, 500, 919. So, keep reading to learn more.
Given numbers are 919,910,654,500,919
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 919,910,654,500,919 is 13673341500.
Find LCM of 919,910,654,500,919 with Prime Factorization
| 2 | 919, 910, 654, 500, 919 |
| 5 | 919, 455, 327, 250, 919 |
| 919 | 919, 91, 327, 50, 919 |
| 1, 91, 327, 50, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 919 x 1 x 91 x 327 x 50 x 1 = 13673341500
Therefore, the lowest common multiple of 919,910,654,500,919 is 13673341500.
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.
919 x 910 x 654 x 500 x 919 = 251316016770000
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.
919 : 1, 919
910 : 1, 2, 5, 7, 10, 13, 14, 26, 35, 65, 70, 91, 130, 182, 455, 910
654 : 1, 2, 3, 6, 109, 218, 327, 654
500 : 1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500
919 : 1, 919
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 919,910,654,500,919, is 1.
Now, the common factors can be found like this.
919:919
910:2x 5x 7x 13
654:2x 3x 109
500:2x 2x 5x 5x 5
919:919
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 5x 919 = 18380
Therefore, the value for common factors is 18380.
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 = 251316016770000/(1x18380)
LCM = 251316016770000/18380
LCM = 13673341500
Thus, we can understand that the LCM of 919,910,654,500,919 is 13673341500.
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FAQs on LCM of 919, 910, 654, 500, 919
1. What is the LCM of 919, 910, 654, 500, 919?
Answer: LCM of 919, 910, 654, 500, 919 is 13673341500.
2. How to calculate the LCM of 919, 910, 654, 500, 919?
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 919, 910, 654, 500, 919.
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}.