LCM of 680, 972, 180, 604
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 680, 972, 180, 604 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 680, 972, 180, 604. So, keep reading to learn more.
Given numbers are 680,972,180,604
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 680,972,180,604 is 24951240.
Find LCM of 680,972,180,604 with Prime Factorization
| 2 | 680, 972, 180, 604 |
| 2 | 340, 486, 90, 302 |
| 3 | 170, 243, 45, 151 |
| 3 | 170, 81, 15, 151 |
| 5 | 170, 27, 5, 151 |
| 34, 27, 1, 151 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 5 x 34 x 27 x 1 x 151 = 24951240
Therefore, the lowest common multiple of 680,972,180,604 is 24951240.
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.
680 x 972 x 180 x 604 = 71859571200
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.
680 : 1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680
972 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972
180 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180
604 : 1, 2, 4, 151, 302, 604
4 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 680,972,180,604, is 4.
Now, the common factors can be found like this.
680:2x 2x 2x 5x 17
972:2x 2x 3x 3x 3x 3x 3
180:2x 2x 3x 3x 5
604:2x 2x 151
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 3x 5 = 720
Therefore, the value for common factors is 720.
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 = 71859571200/(4x720)
LCM = 71859571200/2880
LCM = 24951240
Thus, we can understand that the LCM of 680,972,180,604 is 24951240.
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FAQs on LCM of 680, 972, 180, 604
1. What is the LCM of 680, 972, 180, 604?
Answer: LCM of 680, 972, 180, 604 is 24951240.
2. How to calculate the LCM of 680, 972, 180, 604?
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 680, 972, 180, 604.
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}.