LCM of 384, 901, 274, 368, 543
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 384, 901, 274, 368, 543 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 384, 901, 274, 368, 543. So, keep reading to learn more.
Given numbers are 384,901,274,368,543
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 384,901,274,368,543 is 197325400704.
Find LCM of 384,901,274,368,543 with Prime Factorization
| 2 | 384, 901, 274, 368, 543 |
| 2 | 192, 901, 137, 184, 543 |
| 2 | 96, 901, 137, 92, 543 |
| 2 | 48, 901, 137, 46, 543 |
| 3 | 24, 901, 137, 23, 543 |
| 8, 901, 137, 23, 181 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 3 x 8 x 901 x 137 x 23 x 181 = 197325400704
Therefore, the lowest common multiple of 384,901,274,368,543 is 197325400704.
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.
384 x 901 x 274 x 368 x 543 = 18943238467584
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.
384 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 384
901 : 1, 17, 53, 901
274 : 1, 2, 137, 274
368 : 1, 2, 4, 8, 16, 23, 46, 92, 184, 368
543 : 1, 3, 181, 543
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 384,901,274,368,543, is 1.
Now, the common factors can be found like this.
384:2x 2x 2x 2x 2x 2x 2x 3
901:17x 53
274:2x 137
368:2x 2x 2x 2x 23
543:3x 181
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 3 = 96
Therefore, the value for common factors is 96.
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 = 18943238467584/(1x96)
LCM = 18943238467584/96
LCM = 197325400704
Thus, we can understand that the LCM of 384,901,274,368,543 is 197325400704.
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FAQs on LCM of 384, 901, 274, 368, 543
1. What is the LCM of 384, 901, 274, 368, 543?
Answer: LCM of 384, 901, 274, 368, 543 is 197325400704.
2. How to calculate the LCM of 384, 901, 274, 368, 543?
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 384, 901, 274, 368, 543.
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}.