Find the LCM of 484, 626, 368, 309, 615 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 484, 626, 368, 309, 615. So, keep reading to learn more.
Given numbers are 484,626,368,309,615
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 484,626,368,309,615 is 882855988080.
Find LCM of 484,626,368,309,615 with Prime Factorization
2 | 484, 626, 368, 309, 615 |
2 | 242, 313, 184, 309, 615 |
3 | 121, 313, 92, 309, 615 |
121, 313, 92, 103, 205 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 121 x 313 x 92 x 103 x 205 = 882855988080
Therefore, the lowest common multiple of 484,626,368,309,615 is 882855988080.
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.
484 x 626 x 368 x 309 x 615 = 21188543713920
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.
484 : 1, 2, 4, 11, 22, 44, 121, 242, 484
626 : 1, 2, 313, 626
368 : 1, 2, 4, 8, 16, 23, 46, 92, 184, 368
309 : 1, 3, 103, 309
615 : 1, 3, 5, 15, 41, 123, 205, 615
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 484,626,368,309,615, is 1.
Now, the common factors can be found like this.
484:2x 2x 11x 11
626:2x 313
368:2x 2x 2x 2x 23
309:3x 103
615:3x 5x 41
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 3 = 24
Therefore, the value for common factors is 24.
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 = 21188543713920/(1x24)
LCM = 21188543713920/24
LCM = 882855988080
Thus, we can understand that the LCM of 484,626,368,309,615 is 882855988080.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 484, 626, 368, 309, 615?
Answer: LCM of 484, 626, 368, 309, 615 is 882855988080.
2. How to calculate the LCM of 484, 626, 368, 309, 615?
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 484, 626, 368, 309, 615.
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}.