LCM of 971, 713, 681, 874, 552
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 971, 713, 681, 874, 552 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, 713, 681, 874, 552. So, keep reading to learn more.
Given numbers are 971,713,681,874,552
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 971,713,681,874,552 is 71663738376.
Find LCM of 971,713,681,874,552 with Prime Factorization
| 2 | 971, 713, 681, 874, 552 |
| 3 | 971, 713, 681, 437, 276 |
| 23 | 971, 713, 227, 437, 92 |
| 971, 31, 227, 19, 4 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 23 x 971 x 31 x 227 x 19 x 4 = 71663738376
Therefore, the lowest common multiple of 971,713,681,874,552 is 71663738376.
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 713 x 681 x 874 x 552 = 227460705605424
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
713 : 1, 23, 31, 713
681 : 1, 3, 227, 681
874 : 1, 2, 19, 23, 38, 46, 437, 874
552 : 1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 184, 276, 552
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 971,713,681,874,552, is 1.
Now, the common factors can be found like this.
971:971
713:23x 31
681:3x 227
874:2x 19x 23
552:2x 2x 2x 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 3x 23x 23 = 3174
Therefore, the value for common factors is 3174.
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 = 227460705605424/(1x3174)
LCM = 227460705605424/3174
LCM = 71663738376
Thus, we can understand that the LCM of 971,713,681,874,552 is 71663738376.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 971, 713, 681, 874, 552
1. What is the LCM of 971, 713, 681, 874, 552?
Answer: LCM of 971, 713, 681, 874, 552 is 71663738376.
2. How to calculate the LCM of 971, 713, 681, 874, 552?
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, 713, 681, 874, 552.
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}.