LCM of 989, 454, 979, 869, 119
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 989, 454, 979, 869, 119 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 989, 454, 979, 869, 119. So, keep reading to learn more.
Given numbers are 989,454,979,869,119
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 989,454,979,869,119 is 4132462192474.
Find LCM of 989,454,979,869,119 with Prime Factorization
| 11 | 989, 454, 979, 869, 119 |
| 989, 454, 89, 79, 119 |
Multiply the prime numbers at the bottom and the left side.
11 x 989 x 454 x 89 x 79 x 119 = 4132462192474
Therefore, the lowest common multiple of 989,454,979,869,119 is 4132462192474.
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.
989 x 454 x 979 x 869 x 119 = 45457084117214
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.
989 : 1, 23, 43, 989
454 : 1, 2, 227, 454
979 : 1, 11, 89, 979
869 : 1, 11, 79, 869
119 : 1, 7, 17, 119
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 989,454,979,869,119, is 1.
Now, the common factors can be found like this.
989:23x 43
454:2x 227
979:11x 89
869:11x 79
119:7x 17
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
11 = 11
Therefore, the value for common factors is 11.
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 = 45457084117214/(1x11)
LCM = 45457084117214/11
LCM = 4132462192474
Thus, we can understand that the LCM of 989,454,979,869,119 is 4132462192474.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 989, 454, 979, 869, 119
1. What is the LCM of 989, 454, 979, 869, 119?
Answer: LCM of 989, 454, 979, 869, 119 is 4132462192474.
2. How to calculate the LCM of 989, 454, 979, 869, 119?
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 989, 454, 979, 869, 119.
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}.