Find the LCM of 373, 968, 771, 721, 308 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 373, 968, 771, 721, 308. So, keep reading to learn more.
Given numbers are 373,968,771,721,308
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 373,968,771,721,308 is 200712228024.
Find LCM of 373,968,771,721,308 with Prime Factorization
2 | 373, 968, 771, 721, 308 |
2 | 373, 484, 771, 721, 154 |
7 | 373, 242, 771, 721, 77 |
11 | 373, 242, 771, 103, 11 |
373, 22, 771, 103, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 7 x 11 x 373 x 22 x 771 x 103 x 1 = 200712228024
Therefore, the lowest common multiple of 373,968,771,721,308 is 200712228024.
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.
373 x 968 x 771 x 721 x 308 = 61819366231392
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.
373 : 1, 373
968 : 1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968
771 : 1, 3, 257, 771
721 : 1, 7, 103, 721
308 : 1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 373,968,771,721,308, is 1.
Now, the common factors can be found like this.
373:373
968:2x 2x 2x 11x 11
771:3x 257
721:7x 103
308:2x 2x 7x 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 7x 11 = 308
Therefore, the value for common factors is 308.
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 = 61819366231392/(1x308)
LCM = 61819366231392/308
LCM = 200712228024
Thus, we can understand that the LCM of 373,968,771,721,308 is 200712228024.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 373, 968, 771, 721, 308?
Answer: LCM of 373, 968, 771, 721, 308 is 200712228024.
2. How to calculate the LCM of 373, 968, 771, 721, 308?
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 373, 968, 771, 721, 308.
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}.