LCM of 880, 618, 594, 844, 695
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 880, 618, 594, 844, 695 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 880, 618, 594, 844, 695. So, keep reading to learn more.
Given numbers are 880,618,594,844,695
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 880,618,594,844,695 is 71776275120.
Find LCM of 880,618,594,844,695 with Prime Factorization
| 2 | 880, 618, 594, 844, 695 |
| 2 | 440, 309, 297, 422, 695 |
| 3 | 220, 309, 297, 211, 695 |
| 5 | 220, 103, 99, 211, 695 |
| 11 | 44, 103, 99, 211, 139 |
| 4, 103, 9, 211, 139 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 11 x 4 x 103 x 9 x 211 x 139 = 71776275120
Therefore, the lowest common multiple of 880,618,594,844,695 is 71776275120.
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.
880 x 618 x 594 x 844 x 695 = 189489366316800
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.
880 : 1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 55, 80, 88, 110, 176, 220, 440, 880
618 : 1, 2, 3, 6, 103, 206, 309, 618
594 : 1, 2, 3, 6, 9, 11, 18, 22, 27, 33, 54, 66, 99, 198, 297, 594
844 : 1, 2, 4, 211, 422, 844
695 : 1, 5, 139, 695
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 880,618,594,844,695, is 1.
Now, the common factors can be found like this.
880:2x 2x 2x 2x 5x 11
618:2x 3x 103
594:2x 3x 3x 3x 11
844:2x 2x 211
695:5x 139
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 2x 3x 5x 11 = 2640
Therefore, the value for common factors is 2640.
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 = 189489366316800/(1x2640)
LCM = 189489366316800/2640
LCM = 71776275120
Thus, we can understand that the LCM of 880,618,594,844,695 is 71776275120.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 880, 618, 594, 844, 695
1. What is the LCM of 880, 618, 594, 844, 695?
Answer: LCM of 880, 618, 594, 844, 695 is 71776275120.
2. How to calculate the LCM of 880, 618, 594, 844, 695?
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 880, 618, 594, 844, 695.
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}.