LCM of 545, 621, 280, 302, 196
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 545, 621, 280, 302, 196 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 545, 621, 280, 302, 196. So, keep reading to learn more.
Given numbers are 545,621,280,302,196
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 545,621,280,302,196 is 20033236440.
Find LCM of 545,621,280,302,196 with Prime Factorization
| 2 | 545, 621, 280, 302, 196 |
| 2 | 545, 621, 140, 151, 98 |
| 5 | 545, 621, 70, 151, 49 |
| 7 | 109, 621, 14, 151, 49 |
| 109, 621, 2, 151, 7 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 7 x 109 x 621 x 2 x 151 x 7 = 20033236440
Therefore, the lowest common multiple of 545,621,280,302,196 is 20033236440.
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.
545 x 621 x 280 x 302 x 196 = 5609306203200
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.
545 : 1, 5, 109, 545
621 : 1, 3, 9, 23, 27, 69, 207, 621
280 : 1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280
302 : 1, 2, 151, 302
196 : 1, 2, 4, 7, 14, 28, 49, 98, 196
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 545,621,280,302,196, is 1.
Now, the common factors can be found like this.
545:5x 109
621:3x 3x 3x 23
280:2x 2x 2x 5x 7
302:2x 151
196:2x 2x 7x 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 = 5609306203200/(1x280)
LCM = 5609306203200/280
LCM = 20033236440
Thus, we can understand that the LCM of 545,621,280,302,196 is 20033236440.
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FAQs on LCM of 545, 621, 280, 302, 196
1. What is the LCM of 545, 621, 280, 302, 196?
Answer: LCM of 545, 621, 280, 302, 196 is 20033236440.
2. How to calculate the LCM of 545, 621, 280, 302, 196?
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 545, 621, 280, 302, 196.
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}.