Find the LCM of 919, 126, 901, 256, 969 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 919, 126, 901, 256, 969. So, keep reading to learn more.
Given numbers are 919,126,901,256,969
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 919,126,901,256,969 is 253731518208.
Find LCM of 919,126,901,256,969 with Prime Factorization
2 | 919, 126, 901, 256, 969 |
3 | 919, 63, 901, 128, 969 |
17 | 919, 21, 901, 128, 323 |
919, 21, 53, 128, 19 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 17 x 919 x 21 x 53 x 128 x 19 = 253731518208
Therefore, the lowest common multiple of 919,126,901,256,969 is 253731518208.
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.
919 x 126 x 901 x 256 x 969 = 25880614857216
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.
919 : 1, 919
126 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126
901 : 1, 17, 53, 901
256 : 1, 2, 4, 8, 16, 32, 64, 128, 256
969 : 1, 3, 17, 19, 51, 57, 323, 969
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 919,126,901,256,969, is 1.
Now, the common factors can be found like this.
919:919
126:2x 3x 3x 7
901:17x 53
256:2x 2x 2x 2x 2x 2x 2x 2
969:3x 17x 19
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 17 = 102
Therefore, the value for common factors is 102.
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 = 25880614857216/(1x102)
LCM = 25880614857216/102
LCM = 253731518208
Thus, we can understand that the LCM of 919,126,901,256,969 is 253731518208.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 919, 126, 901, 256, 969?
Answer: LCM of 919, 126, 901, 256, 969 is 253731518208.
2. How to calculate the LCM of 919, 126, 901, 256, 969?
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 919, 126, 901, 256, 969.
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}.