LCM of 971, 714, 728, 414
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 971, 714, 728, 414 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, 714, 728, 414. So, keep reading to learn more.
Given numbers are 971,714,728,414
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 971,714,728,414 is 2487538872.
Find LCM of 971,714,728,414 with Prime Factorization
| 2 | 971, 714, 728, 414 |
| 3 | 971, 357, 364, 207 |
| 7 | 971, 119, 364, 69 |
| 971, 17, 52, 69 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 7 x 971 x 17 x 52 x 69 = 2487538872
Therefore, the lowest common multiple of 971,714,728,414 is 2487538872.
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 714 x 728 x 414 = 208953265248
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
714 : 1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714
728 : 1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728
414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 971,714,728,414, is 1.
Now, the common factors can be found like this.
971:971
714:2x 3x 7x 17
728:2x 2x 2x 7x 13
414:2x 3x 3x 23
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 3x 7 = 84
Therefore, the value for common factors is 84.
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 = 208953265248/(1x84)
LCM = 208953265248/84
LCM = 2487538872
Thus, we can understand that the LCM of 971,714,728,414 is 2487538872.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 971, 714, 728, 414
1. What is the LCM of 971, 714, 728, 414?
Answer: LCM of 971, 714, 728, 414 is 2487538872.
2. How to calculate the LCM of 971, 714, 728, 414?
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, 714, 728, 414.
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}.