Find the LCM of 971, 449, 874, 532 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, 449, 874, 532. So, keep reading to learn more.
Given numbers are 971,449,874,532
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 971,449,874,532 is 5334639044.
Find LCM of 971,449,874,532 with Prime Factorization
2 | 971, 449, 874, 532 |
19 | 971, 449, 437, 266 |
971, 449, 23, 14 |
Multiply the prime numbers at the bottom and the left side.
2 x 19 x 971 x 449 x 23 x 14 = 5334639044
Therefore, the lowest common multiple of 971,449,874,532 is 5334639044.
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 449 x 874 x 532 = 202716283672
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
449 : 1, 449
874 : 1, 2, 19, 23, 38, 46, 437, 874
532 : 1, 2, 4, 7, 14, 19, 28, 38, 76, 133, 266, 532
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 971,449,874,532, is 1.
Now, the common factors can be found like this.
971:971
449:449
874:2x 19x 23
532:2x 2x 7x 19
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 19 = 38
Therefore, the value for common factors is 38.
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 = 202716283672/(1x38)
LCM = 202716283672/38
LCM = 5334639044
Thus, we can understand that the LCM of 971,449,874,532 is 5334639044.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 971, 449, 874, 532?
Answer: LCM of 971, 449, 874, 532 is 5334639044.
2. How to calculate the LCM of 971, 449, 874, 532?
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, 449, 874, 532.
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}.