LCM of 548, 395, 195, 224, 924
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 548, 395, 195, 224, 924 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 548, 395, 195, 224, 924. So, keep reading to learn more.
Given numbers are 548,395,195,224,924
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 548,395,195,224,924 is 5200235040.
Find LCM of 548,395,195,224,924 with Prime Factorization
| 2 | 548, 395, 195, 224, 924 |
| 2 | 274, 395, 195, 112, 462 |
| 3 | 137, 395, 195, 56, 231 |
| 5 | 137, 395, 65, 56, 77 |
| 7 | 137, 79, 13, 56, 77 |
| 137, 79, 13, 8, 11 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 7 x 137 x 79 x 13 x 8 x 11 = 5200235040
Therefore, the lowest common multiple of 548,395,195,224,924 is 5200235040.
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.
548 x 395 x 195 x 224 x 924 = 8736394867200
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.
548 : 1, 2, 4, 137, 274, 548
395 : 1, 5, 79, 395
195 : 1, 3, 5, 13, 15, 39, 65, 195
224 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224
924 : 1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 548,395,195,224,924, is 1.
Now, the common factors can be found like this.
548:2x 2x 137
395:5x 79
195:3x 5x 13
224:2x 2x 2x 2x 2x 7
924:2x 2x 3x 7x 11
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 5x 7 = 1680
Therefore, the value for common factors is 1680.
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 = 8736394867200/(1x1680)
LCM = 8736394867200/1680
LCM = 5200235040
Thus, we can understand that the LCM of 548,395,195,224,924 is 5200235040.
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FAQs on LCM of 548, 395, 195, 224, 924
1. What is the LCM of 548, 395, 195, 224, 924?
Answer: LCM of 548, 395, 195, 224, 924 is 5200235040.
2. How to calculate the LCM of 548, 395, 195, 224, 924?
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 548, 395, 195, 224, 924.
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}.