Find the LCM of 615, 223, 670, 242, 968 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, 223, 670, 242, 968. So, keep reading to learn more.
Given numbers are 615,223,670,242,968
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 615,223,670,242,968 is 8894676120.
Find LCM of 615,223,670,242,968 with Prime Factorization
2 | 615, 223, 670, 242, 968 |
5 | 615, 223, 335, 121, 484 |
11 | 123, 223, 67, 121, 484 |
11 | 123, 223, 67, 11, 44 |
123, 223, 67, 1, 4 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 11 x 11 x 123 x 223 x 67 x 1 x 4 = 8894676120
Therefore, the lowest common multiple of 615,223,670,242,968 is 8894676120.
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 223 x 670 x 242 x 968 = 21525116210400
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
223 : 1, 223
670 : 1, 2, 5, 10, 67, 134, 335, 670
242 : 1, 2, 11, 22, 121, 242
968 : 1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 615,223,670,242,968, is 1.
Now, the common factors can be found like this.
615:3x 5x 41
223:223
670:2x 5x 67
242:2x 11x 11
968:2x 2x 2x 11x 11
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 11x 11 = 2420
Therefore, the value for common factors is 2420.
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 = 21525116210400/(1x2420)
LCM = 21525116210400/2420
LCM = 8894676120
Thus, we can understand that the LCM of 615,223,670,242,968 is 8894676120.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 615, 223, 670, 242, 968?
Answer: LCM of 615, 223, 670, 242, 968 is 8894676120.
2. How to calculate the LCM of 615, 223, 670, 242, 968?
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, 223, 670, 242, 968.
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}.