Find the LCM of 992, 119, 891, 761, 980 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 992, 119, 891, 761, 980. So, keep reading to learn more.
Given numbers are 992,119,891,761,980
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 992,119,891,761,980 is 2801489755680.
Find LCM of 992,119,891,761,980 with Prime Factorization
2 | 992, 119, 891, 761, 980 |
2 | 496, 119, 891, 761, 490 |
7 | 248, 119, 891, 761, 245 |
248, 17, 891, 761, 35 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 7 x 248 x 17 x 891 x 761 x 35 = 2801489755680
Therefore, the lowest common multiple of 992,119,891,761,980 is 2801489755680.
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.
992 x 119 x 891 x 761 x 980 = 78441713159040
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.
992 : 1, 2, 4, 8, 16, 31, 32, 62, 124, 248, 496, 992
119 : 1, 7, 17, 119
891 : 1, 3, 9, 11, 27, 33, 81, 99, 297, 891
761 : 1, 761
980 : 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 49, 70, 98, 140, 196, 245, 490, 980
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 992,119,891,761,980, is 1.
Now, the common factors can be found like this.
992:2x 2x 2x 2x 2x 31
119:7x 17
891:3x 3x 3x 3x 11
761:761
980:2x 2x 5x 7x 7
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 7 = 28
Therefore, the value for common factors is 28.
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 = 78441713159040/(1x28)
LCM = 78441713159040/28
LCM = 2801489755680
Thus, we can understand that the LCM of 992,119,891,761,980 is 2801489755680.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 992, 119, 891, 761, 980?
Answer: LCM of 992, 119, 891, 761, 980 is 2801489755680.
2. How to calculate the LCM of 992, 119, 891, 761, 980?
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 992, 119, 891, 761, 980.
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}.