LCM of 369, 741, 895, 655, 895
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 369, 741, 895, 655, 895 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 369, 741, 895, 655, 895. So, keep reading to learn more.
Given numbers are 369,741,895,655,895
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 369,741,895,655,895 is 10686061035.
Find LCM of 369,741,895,655,895 with Prime Factorization
| 3 | 369, 741, 895, 655, 895 |
| 5 | 123, 247, 895, 655, 895 |
| 179 | 123, 247, 179, 131, 179 |
| 123, 247, 1, 131, 1 |
Multiply the prime numbers at the bottom and the left side.
3 x 5 x 179 x 123 x 247 x 1 x 131 x 1 = 10686061035
Therefore, the lowest common multiple of 369,741,895,655,895 is 10686061035.
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.
369 x 741 x 895 x 655 x 895 = 143460369394875
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.
369 : 1, 3, 9, 41, 123, 369
741 : 1, 3, 13, 19, 39, 57, 247, 741
895 : 1, 5, 179, 895
655 : 1, 5, 131, 655
895 : 1, 5, 179, 895
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 369,741,895,655,895, is 1.
Now, the common factors can be found like this.
369:3x 3x 41
741:3x 13x 19
895:5x 179
655:5x 131
895:5x 179
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 5x 5x 179 = 13425
Therefore, the value for common factors is 13425.
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 = 143460369394875/(1x13425)
LCM = 143460369394875/13425
LCM = 10686061035
Thus, we can understand that the LCM of 369,741,895,655,895 is 10686061035.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 369, 741, 895, 655, 895
1. What is the LCM of 369, 741, 895, 655, 895?
Answer: LCM of 369, 741, 895, 655, 895 is 10686061035.
2. How to calculate the LCM of 369, 741, 895, 655, 895?
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 369, 741, 895, 655, 895.
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}.