Find the LCM of 154, 953, 407, 589, 971 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 154, 953, 407, 589, 971. So, keep reading to learn more.
Given numbers are 154,953,407,589,971
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 154,953,407,589,971 is 3105631122286.
Find LCM of 154,953,407,589,971 with Prime Factorization
11 | 154, 953, 407, 589, 971 |
14, 953, 37, 589, 971 |
Multiply the prime numbers at the bottom and the left side.
11 x 14 x 953 x 37 x 589 x 971 = 3105631122286
Therefore, the lowest common multiple of 154,953,407,589,971 is 3105631122286.
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.
154 x 953 x 407 x 589 x 971 = 34161942345146
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.
154 : 1, 2, 7, 11, 14, 22, 77, 154
953 : 1, 953
407 : 1, 11, 37, 407
589 : 1, 19, 31, 589
971 : 1, 971
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 154,953,407,589,971, is 1.
Now, the common factors can be found like this.
154:2x 7x 11
953:953
407:11x 37
589:19x 31
971:971
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
11 = 11
Therefore, the value for common factors is 11.
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 = 34161942345146/(1x11)
LCM = 34161942345146/11
LCM = 3105631122286
Thus, we can understand that the LCM of 154,953,407,589,971 is 3105631122286.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 154, 953, 407, 589, 971?
Answer: LCM of 154, 953, 407, 589, 971 is 3105631122286.
2. How to calculate the LCM of 154, 953, 407, 589, 971?
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 154, 953, 407, 589, 971.
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}.