LCM of 653, 420, 146, 560
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 653, 420, 146, 560 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 653, 420, 146, 560. So, keep reading to learn more.
Given numbers are 653,420,146,560
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 653,420,146,560 is 80083920.
Find LCM of 653,420,146,560 with Prime Factorization
| 2 | 653, 420, 146, 560 |
| 2 | 653, 210, 73, 280 |
| 5 | 653, 105, 73, 140 |
| 7 | 653, 21, 73, 28 |
| 653, 3, 73, 4 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 7 x 653 x 3 x 73 x 4 = 80083920
Therefore, the lowest common multiple of 653,420,146,560 is 80083920.
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.
653 x 420 x 146 x 560 = 22423497600
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.
653 : 1, 653
420 : 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420
146 : 1, 2, 73, 146
560 : 1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 653,420,146,560, is 1.
Now, the common factors can be found like this.
653:653
420:2x 2x 3x 5x 7
146:2x 73
560:2x 2x 2x 2x 5x 7
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 7 = 280
Therefore, the value for common factors is 280.
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 = 22423497600/(1x280)
LCM = 22423497600/280
LCM = 80083920
Thus, we can understand that the LCM of 653,420,146,560 is 80083920.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 653, 420, 146, 560
1. What is the LCM of 653, 420, 146, 560?
Answer: LCM of 653, 420, 146, 560 is 80083920.
2. How to calculate the LCM of 653, 420, 146, 560?
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 653, 420, 146, 560.
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}.