Find the LCM of 971, 786, 952, 454 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, 786, 952, 454. So, keep reading to learn more.
Given numbers are 971,786,952,454
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 971,786,952,454 is 82465934712.
Find LCM of 971,786,952,454 with Prime Factorization
2 | 971, 786, 952, 454 |
971, 393, 476, 227 |
Multiply the prime numbers at the bottom and the left side.
2 x 971 x 393 x 476 x 227 = 82465934712
Therefore, the lowest common multiple of 971,786,952,454 is 82465934712.
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 786 x 952 x 454 = 329863738848
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
786 : 1, 2, 3, 6, 131, 262, 393, 786
952 : 1, 2, 4, 7, 8, 14, 17, 28, 34, 56, 68, 119, 136, 238, 476, 952
454 : 1, 2, 227, 454
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 971,786,952,454, is 1.
Now, the common factors can be found like this.
971:971
786:2x 3x 131
952:2x 2x 2x 7x 17
454:2x 227
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2 = 4
Therefore, the value for common factors is 4.
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 = 329863738848/(1x4)
LCM = 329863738848/4
LCM = 82465934712
Thus, we can understand that the LCM of 971,786,952,454 is 82465934712.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 971, 786, 952, 454?
Answer: LCM of 971, 786, 952, 454 is 82465934712.
2. How to calculate the LCM of 971, 786, 952, 454?
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, 786, 952, 454.
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}.