LCM of 280, 198, 719, 342, 924
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 280, 198, 719, 342, 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 280, 198, 719, 342, 924. So, keep reading to learn more.
Given numbers are 280,198,719,342,924
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 280,198,719,342,924 is 378682920.
Find LCM of 280,198,719,342,924 with Prime Factorization
| 2 | 280, 198, 719, 342, 924 |
| 2 | 140, 99, 719, 171, 462 |
| 3 | 70, 99, 719, 171, 231 |
| 3 | 70, 33, 719, 57, 77 |
| 7 | 70, 11, 719, 19, 77 |
| 11 | 10, 11, 719, 19, 11 |
| 10, 1, 719, 19, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 7 x 11 x 10 x 1 x 719 x 19 x 1 = 378682920
Therefore, the lowest common multiple of 280,198,719,342,924 is 378682920.
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.
280 x 198 x 719 x 342 x 924 = 12596508650880
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.
280 : 1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280
198 : 1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198
719 : 1, 719
342 : 1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342
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 280,198,719,342,924, is 1.
Now, the common factors can be found like this.
280:2x 2x 2x 5x 7
198:2x 3x 3x 11
719:719
342:2x 3x 3x 19
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 3x 3x 7x 11 = 33264
Therefore, the value for common factors is 33264.
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 = 12596508650880/(1x33264)
LCM = 12596508650880/33264
LCM = 378682920
Thus, we can understand that the LCM of 280,198,719,342,924 is 378682920.
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FAQs on LCM of 280, 198, 719, 342, 924
1. What is the LCM of 280, 198, 719, 342, 924?
Answer: LCM of 280, 198, 719, 342, 924 is 378682920.
2. How to calculate the LCM of 280, 198, 719, 342, 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 280, 198, 719, 342, 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}.