LCM of 699, 196, 748, 795, 879
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 699, 196, 748, 795, 879 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 699, 196, 748, 795, 879. So, keep reading to learn more.
Given numbers are 699,196,748,795,879
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 699,196,748,795,879 is 1989245333460.
Find LCM of 699,196,748,795,879 with Prime Factorization
| 2 | 699, 196, 748, 795, 879 |
| 2 | 699, 98, 374, 795, 879 |
| 3 | 699, 49, 187, 795, 879 |
| 233, 49, 187, 265, 293 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 233 x 49 x 187 x 265 x 293 = 1989245333460
Therefore, the lowest common multiple of 699,196,748,795,879 is 1989245333460.
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.
699 x 196 x 748 x 795 x 879 = 71612832004560
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.
699 : 1, 3, 233, 699
196 : 1, 2, 4, 7, 14, 28, 49, 98, 196
748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
795 : 1, 3, 5, 15, 53, 159, 265, 795
879 : 1, 3, 293, 879
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 699,196,748,795,879, is 1.
Now, the common factors can be found like this.
699:3x 233
196:2x 2x 7x 7
748:2x 2x 11x 17
795:3x 5x 53
879:3x 293
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 3x 3 = 36
Therefore, the value for common factors is 36.
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 = 71612832004560/(1x36)
LCM = 71612832004560/36
LCM = 1989245333460
Thus, we can understand that the LCM of 699,196,748,795,879 is 1989245333460.
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FAQs on LCM of 699, 196, 748, 795, 879
1. What is the LCM of 699, 196, 748, 795, 879?
Answer: LCM of 699, 196, 748, 795, 879 is 1989245333460.
2. How to calculate the LCM of 699, 196, 748, 795, 879?
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 699, 196, 748, 795, 879.
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}.