LCM of 467, 837, 260, 884, 919
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 467, 837, 260, 884, 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 467, 837, 260, 884, 919. So, keep reading to learn more.
Given numbers are 467,837,260,884,919
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 467,837,260,884,919 is 1587742680420.
Find LCM of 467,837,260,884,919 with Prime Factorization
| 2 | 467, 837, 260, 884, 919 |
| 2 | 467, 837, 130, 442, 919 |
| 13 | 467, 837, 65, 221, 919 |
| 467, 837, 5, 17, 919 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 13 x 467 x 837 x 5 x 17 x 919 = 1587742680420
Therefore, the lowest common multiple of 467,837,260,884,919 is 1587742680420.
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.
467 x 837 x 260 x 884 x 919 = 82562619381840
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.
467 : 1, 467
837 : 1, 3, 9, 27, 31, 93, 279, 837
260 : 1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260
884 : 1, 2, 4, 13, 17, 26, 34, 52, 68, 221, 442, 884
919 : 1, 919
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 467,837,260,884,919, is 1.
Now, the common factors can be found like this.
467:467
837:3x 3x 3x 31
260:2x 2x 5x 13
884:2x 2x 13x 17
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 13 = 52
Therefore, the value for common factors is 52.
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 = 82562619381840/(1x52)
LCM = 82562619381840/52
LCM = 1587742680420
Thus, we can understand that the LCM of 467,837,260,884,919 is 1587742680420.
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FAQs on LCM of 467, 837, 260, 884, 919
1. What is the LCM of 467, 837, 260, 884, 919?
Answer: LCM of 467, 837, 260, 884, 919 is 1587742680420.
2. How to calculate the LCM of 467, 837, 260, 884, 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 467, 837, 260, 884, 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}.