LCM of 630, 508, 615, 381, 804
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 630, 508, 615, 381, 804 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 630, 508, 615, 381, 804. So, keep reading to learn more.
Given numbers are 630,508,615,381,804
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 630,508,615,381,804 is 439574940.
Find LCM of 630,508,615,381,804 with Prime Factorization
| 2 | 630, 508, 615, 381, 804 |
| 2 | 315, 254, 615, 381, 402 |
| 3 | 315, 127, 615, 381, 201 |
| 5 | 105, 127, 205, 127, 67 |
| 127 | 21, 127, 41, 127, 67 |
| 21, 1, 41, 1, 67 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 127 x 21 x 1 x 41 x 1 x 67 = 439574940
Therefore, the lowest common multiple of 630,508,615,381,804 is 439574940.
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.
630 x 508 x 615 x 381 x 804 = 60292098770400
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.
630 : 1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 30, 35, 42, 45, 63, 70, 90, 105, 126, 210, 315, 630
508 : 1, 2, 4, 127, 254, 508
615 : 1, 3, 5, 15, 41, 123, 205, 615
381 : 1, 3, 127, 381
804 : 1, 2, 3, 4, 6, 12, 67, 134, 201, 268, 402, 804
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 630,508,615,381,804, is 1.
Now, the common factors can be found like this.
630:2x 3x 3x 5x 7
508:2x 2x 127
615:3x 5x 41
381:3x 127
804:2x 2x 3x 67
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 3x 3x 3x 5x 127 = 137160
Therefore, the value for common factors is 137160.
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 = 60292098770400/(1x137160)
LCM = 60292098770400/137160
LCM = 439574940
Thus, we can understand that the LCM of 630,508,615,381,804 is 439574940.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 630, 508, 615, 381, 804
1. What is the LCM of 630, 508, 615, 381, 804?
Answer: LCM of 630, 508, 615, 381, 804 is 439574940.
2. How to calculate the LCM of 630, 508, 615, 381, 804?
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 630, 508, 615, 381, 804.
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}.