LCM of 615, 804, 938, 563, 666
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 615, 804, 938, 563, 666 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 615, 804, 938, 563, 666. So, keep reading to learn more.
Given numbers are 615,804,938,563,666
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 615,804,938,563,666 is 72100673820.
Find LCM of 615,804,938,563,666 with Prime Factorization
| 2 | 615, 804, 938, 563, 666 |
| 3 | 615, 402, 469, 563, 333 |
| 67 | 205, 134, 469, 563, 111 |
| 205, 2, 7, 563, 111 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 67 x 205 x 2 x 7 x 563 x 111 = 72100673820
Therefore, the lowest common multiple of 615,804,938,563,666 is 72100673820.
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.
615 x 804 x 938 x 563 x 666 = 173906825253840
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.
615 : 1, 3, 5, 15, 41, 123, 205, 615
804 : 1, 2, 3, 4, 6, 12, 67, 134, 201, 268, 402, 804
938 : 1, 2, 7, 14, 67, 134, 469, 938
563 : 1, 563
666 : 1, 2, 3, 6, 9, 18, 37, 74, 111, 222, 333, 666
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 615,804,938,563,666, is 1.
Now, the common factors can be found like this.
615:3x 5x 41
804:2x 2x 3x 67
938:2x 7x 67
563:563
666:2x 3x 3x 37
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 3x 3x 67 = 2412
Therefore, the value for common factors is 2412.
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 = 173906825253840/(1x2412)
LCM = 173906825253840/2412
LCM = 72100673820
Thus, we can understand that the LCM of 615,804,938,563,666 is 72100673820.
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FAQs on LCM of 615, 804, 938, 563, 666
1. What is the LCM of 615, 804, 938, 563, 666?
Answer: LCM of 615, 804, 938, 563, 666 is 72100673820.
2. How to calculate the LCM of 615, 804, 938, 563, 666?
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 615, 804, 938, 563, 666.
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}.