LCM of 659, 972, 144, 357
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 659, 972, 144, 357 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 659, 972, 144, 357. So, keep reading to learn more.
Given numbers are 659,972,144,357
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 659,972,144,357 is 304900848.
Find LCM of 659,972,144,357 with Prime Factorization
| 2 | 659, 972, 144, 357 |
| 2 | 659, 486, 72, 357 |
| 3 | 659, 243, 36, 357 |
| 3 | 659, 81, 12, 119 |
| 659, 27, 4, 119 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 659 x 27 x 4 x 119 = 304900848
Therefore, the lowest common multiple of 659,972,144,357 is 304900848.
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.
659 x 972 x 144 x 357 = 32929291584
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.
659 : 1, 659
972 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972
144 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144
357 : 1, 3, 7, 17, 21, 51, 119, 357
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 659,972,144,357, is 1.
Now, the common factors can be found like this.
659:659
972:2x 2x 3x 3x 3x 3x 3
144:2x 2x 2x 2x 3x 3
357:3x 7x 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 3x 3x 3 = 108
Therefore, the value for common factors is 108.
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 = 32929291584/(1x108)
LCM = 32929291584/108
LCM = 304900848
Thus, we can understand that the LCM of 659,972,144,357 is 304900848.
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FAQs on LCM of 659, 972, 144, 357
1. What is the LCM of 659, 972, 144, 357?
Answer: LCM of 659, 972, 144, 357 is 304900848.
2. How to calculate the LCM of 659, 972, 144, 357?
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 659, 972, 144, 357.
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}.