LCM of 220, 700, 429, 961, 578
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 220, 700, 429, 961, 578 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 220, 700, 429, 961, 578. So, keep reading to learn more.
Given numbers are 220,700,429,961,578
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 220,700,429,961,578 is 83402018700.
Find LCM of 220,700,429,961,578 with Prime Factorization
| 2 | 220, 700, 429, 961, 578 |
| 2 | 110, 350, 429, 961, 289 |
| 5 | 55, 175, 429, 961, 289 |
| 11 | 11, 35, 429, 961, 289 |
| 1, 35, 39, 961, 289 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 11 x 1 x 35 x 39 x 961 x 289 = 83402018700
Therefore, the lowest common multiple of 220,700,429,961,578 is 83402018700.
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.
220 x 700 x 429 x 961 x 578 = 36696888228000
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.
220 : 1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220
700 : 1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700
429 : 1, 3, 11, 13, 33, 39, 143, 429
961 : 1, 31, 961
578 : 1, 2, 17, 34, 289, 578
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 220,700,429,961,578, is 1.
Now, the common factors can be found like this.
220:2x 2x 5x 11
700:2x 2x 5x 5x 7
429:3x 11x 13
961:31x 31
578:2x 17x 17
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 5x 11 = 440
Therefore, the value for common factors is 440.
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 = 36696888228000/(1x440)
LCM = 36696888228000/440
LCM = 83402018700
Thus, we can understand that the LCM of 220,700,429,961,578 is 83402018700.
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FAQs on LCM of 220, 700, 429, 961, 578
1. What is the LCM of 220, 700, 429, 961, 578?
Answer: LCM of 220, 700, 429, 961, 578 is 83402018700.
2. How to calculate the LCM of 220, 700, 429, 961, 578?
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 220, 700, 429, 961, 578.
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}.