LCM of 971, 177, 417, 412
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 971, 177, 417, 412 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 971, 177, 417, 412. So, keep reading to learn more.
Given numbers are 971,177,417,412
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 971,177,417,412 is 9842479356.
Find LCM of 971,177,417,412 with Prime Factorization
| 3 | 971, 177, 417, 412 |
| 971, 59, 139, 412 |
Multiply the prime numbers at the bottom and the left side.
3 x 971 x 59 x 139 x 412 = 9842479356
Therefore, the lowest common multiple of 971,177,417,412 is 9842479356.
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.
971 x 177 x 417 x 412 = 29527438068
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.
971 : 1, 971
177 : 1, 3, 59, 177
417 : 1, 3, 139, 417
412 : 1, 2, 4, 103, 206, 412
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 971,177,417,412, is 1.
Now, the common factors can be found like this.
971:971
177:3x 59
417:3x 139
412:2x 2x 103
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3 = 3
Therefore, the value for common factors is 3.
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 = 29527438068/(1x3)
LCM = 29527438068/3
LCM = 9842479356
Thus, we can understand that the LCM of 971,177,417,412 is 9842479356.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 971, 177, 417, 412
1. What is the LCM of 971, 177, 417, 412?
Answer: LCM of 971, 177, 417, 412 is 9842479356.
2. How to calculate the LCM of 971, 177, 417, 412?
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 971, 177, 417, 412.
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}.