LCM of 494, 971, 784, 611, 851
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 494, 971, 784, 611, 851 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 494, 971, 784, 611, 851. So, keep reading to learn more.
Given numbers are 494,971,784,611,851
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 494,971,784,611,851 is 7520724223376.
Find LCM of 494,971,784,611,851 with Prime Factorization
| 2 | 494, 971, 784, 611, 851 |
| 13 | 247, 971, 392, 611, 851 |
| 19, 971, 392, 47, 851 |
Multiply the prime numbers at the bottom and the left side.
2 x 13 x 19 x 971 x 392 x 47 x 851 = 7520724223376
Therefore, the lowest common multiple of 494,971,784,611,851 is 7520724223376.
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.
494 x 971 x 784 x 611 x 851 = 195538829807776
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.
494 : 1, 2, 13, 19, 26, 38, 247, 494
971 : 1, 971
784 : 1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784
611 : 1, 13, 47, 611
851 : 1, 23, 37, 851
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 494,971,784,611,851, is 1.
Now, the common factors can be found like this.
494:2x 13x 19
971:971
784:2x 2x 2x 2x 7x 7
611:13x 47
851:23x 37
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 13 = 26
Therefore, the value for common factors is 26.
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 = 195538829807776/(1x26)
LCM = 195538829807776/26
LCM = 7520724223376
Thus, we can understand that the LCM of 494,971,784,611,851 is 7520724223376.
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FAQs on LCM of 494, 971, 784, 611, 851
1. What is the LCM of 494, 971, 784, 611, 851?
Answer: LCM of 494, 971, 784, 611, 851 is 7520724223376.
2. How to calculate the LCM of 494, 971, 784, 611, 851?
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 494, 971, 784, 611, 851.
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}.