LCM of 616, 214, 969, 544, 924
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 616, 214, 969, 544, 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 616, 214, 969, 544, 924. So, keep reading to learn more.
Given numbers are 616,214,969,544,924
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 616,214,969,544,924 is 255474912.
Find LCM of 616,214,969,544,924 with Prime Factorization
| 2 | 616, 214, 969, 544, 924 |
| 2 | 308, 107, 969, 272, 462 |
| 2 | 154, 107, 969, 136, 231 |
| 3 | 77, 107, 969, 68, 231 |
| 7 | 77, 107, 323, 68, 77 |
| 11 | 11, 107, 323, 68, 11 |
| 17 | 1, 107, 323, 68, 1 |
| 1, 107, 19, 4, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 7 x 11 x 17 x 1 x 107 x 19 x 4 x 1 = 255474912
Therefore, the lowest common multiple of 616,214,969,544,924 is 255474912.
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.
616 x 214 x 969 x 544 x 924 = 64207998683136
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.
616 : 1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616
214 : 1, 2, 107, 214
969 : 1, 3, 17, 19, 51, 57, 323, 969
544 : 1, 2, 4, 8, 16, 17, 32, 34, 68, 136, 272, 544
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 616,214,969,544,924, is 1.
Now, the common factors can be found like this.
616:2x 2x 2x 7x 11
214:2x 107
969:3x 17x 19
544:2x 2x 2x 2x 2x 17
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 2x 2x 3x 7x 11x 17 = 251328
Therefore, the value for common factors is 251328.
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 = 64207998683136/(1x251328)
LCM = 64207998683136/251328
LCM = 255474912
Thus, we can understand that the LCM of 616,214,969,544,924 is 255474912.
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FAQs on LCM of 616, 214, 969, 544, 924
1. What is the LCM of 616, 214, 969, 544, 924?
Answer: LCM of 616, 214, 969, 544, 924 is 255474912.
2. How to calculate the LCM of 616, 214, 969, 544, 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 616, 214, 969, 544, 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}.