LCM of 699, 615, 656, 869, 760
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 699, 615, 656, 869, 760 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, 615, 656, 869, 760. So, keep reading to learn more.
Given numbers are 699,615,656,869,760
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 699,615,656,869,760 is 37855099920.
Find LCM of 699,615,656,869,760 with Prime Factorization
| 2 | 699, 615, 656, 869, 760 |
| 2 | 699, 615, 328, 869, 380 |
| 2 | 699, 615, 164, 869, 190 |
| 3 | 699, 615, 82, 869, 95 |
| 5 | 233, 205, 82, 869, 95 |
| 41 | 233, 41, 82, 869, 19 |
| 233, 1, 2, 869, 19 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 5 x 41 x 233 x 1 x 2 x 869 x 19 = 37855099920
Therefore, the lowest common multiple of 699,615,656,869,760 is 37855099920.
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 615 x 656 x 869 x 760 = 186247091606400
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
615 : 1, 3, 5, 15, 41, 123, 205, 615
656 : 1, 2, 4, 8, 16, 41, 82, 164, 328, 656
869 : 1, 11, 79, 869
760 : 1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 699,615,656,869,760, is 1.
Now, the common factors can be found like this.
699:3x 233
615:3x 5x 41
656:2x 2x 2x 2x 41
869:11x 79
760:2x 2x 2x 5x 19
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 2x 3x 5x 41 = 4920
Therefore, the value for common factors is 4920.
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 = 186247091606400/(1x4920)
LCM = 186247091606400/4920
LCM = 37855099920
Thus, we can understand that the LCM of 699,615,656,869,760 is 37855099920.
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FAQs on LCM of 699, 615, 656, 869, 760
1. What is the LCM of 699, 615, 656, 869, 760?
Answer: LCM of 699, 615, 656, 869, 760 is 37855099920.
2. How to calculate the LCM of 699, 615, 656, 869, 760?
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, 615, 656, 869, 760.
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}.