LCM of 673, 119, 217, 868, 779
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 673, 119, 217, 868, 779 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 673, 119, 217, 868, 779. So, keep reading to learn more.
Given numbers are 673,119,217,868,779
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 673,119,217,868,779 is 7736083852.
Find LCM of 673,119,217,868,779 with Prime Factorization
| 7 | 673, 119, 217, 868, 779 |
| 31 | 673, 17, 31, 124, 779 |
| 673, 17, 1, 4, 779 |
Multiply the prime numbers at the bottom and the left side.
7 x 31 x 673 x 17 x 1 x 4 x 779 = 7736083852
Therefore, the lowest common multiple of 673,119,217,868,779 is 7736083852.
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.
673 x 119 x 217 x 868 x 779 = 11751111371188
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.
673 : 1, 673
119 : 1, 7, 17, 119
217 : 1, 7, 31, 217
868 : 1, 2, 4, 7, 14, 28, 31, 62, 124, 217, 434, 868
779 : 1, 19, 41, 779
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 673,119,217,868,779, is 1.
Now, the common factors can be found like this.
673:673
119:7x 17
217:7x 31
868:2x 2x 7x 31
779:19x 41
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
7x 7x 31 = 1519
Therefore, the value for common factors is 1519.
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 = 11751111371188/(1x1519)
LCM = 11751111371188/1519
LCM = 7736083852
Thus, we can understand that the LCM of 673,119,217,868,779 is 7736083852.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 673, 119, 217, 868, 779
1. What is the LCM of 673, 119, 217, 868, 779?
Answer: LCM of 673, 119, 217, 868, 779 is 7736083852.
2. How to calculate the LCM of 673, 119, 217, 868, 779?
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 673, 119, 217, 868, 779.
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}.