LCM of 971, 380, 971, 410
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 971, 380, 971, 410 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, 380, 971, 410. So, keep reading to learn more.
Given numbers are 971,380,971,410
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 971,380,971,410 is 15128180.
Find LCM of 971,380,971,410 with Prime Factorization
| 2 | 971, 380, 971, 410 |
| 5 | 971, 190, 971, 205 |
| 971 | 971, 38, 971, 41 |
| 1, 38, 1, 41 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 971 x 1 x 38 x 1 x 41 = 15128180
Therefore, the lowest common multiple of 971,380,971,410 is 15128180.
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 380 x 971 x 410 = 146894627800
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
380 : 1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380
971 : 1, 971
410 : 1, 2, 5, 10, 41, 82, 205, 410
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 971,380,971,410, is 1.
Now, the common factors can be found like this.
971:971
380:2x 2x 5x 19
971:971
410:2x 5x 41
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 5x 971 = 9710
Therefore, the value for common factors is 9710.
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 = 146894627800/(1x9710)
LCM = 146894627800/9710
LCM = 15128180
Thus, we can understand that the LCM of 971,380,971,410 is 15128180.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 971, 380, 971, 410
1. What is the LCM of 971, 380, 971, 410?
Answer: LCM of 971, 380, 971, 410 is 15128180.
2. How to calculate the LCM of 971, 380, 971, 410?
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, 380, 971, 410.
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}.