LCM of 283, 918, 374, 924, 347
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 283, 918, 374, 924, 347 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 283, 918, 374, 924, 347. So, keep reading to learn more.
Given numbers are 283,918,374,924,347
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 283,918,374,924,347 is 13882871772.
Find LCM of 283,918,374,924,347 with Prime Factorization
| 2 | 283, 918, 374, 924, 347 |
| 3 | 283, 459, 187, 462, 347 |
| 11 | 283, 153, 187, 154, 347 |
| 17 | 283, 153, 17, 14, 347 |
| 283, 9, 1, 14, 347 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 11 x 17 x 283 x 9 x 1 x 14 x 347 = 13882871772
Therefore, the lowest common multiple of 283,918,374,924,347 is 13882871772.
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.
283 x 918 x 374 x 924 x 347 = 31153164256368
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.
283 : 1, 283
918 : 1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918
374 : 1, 2, 11, 17, 22, 34, 187, 374
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
347 : 1, 347
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 283,918,374,924,347, is 1.
Now, the common factors can be found like this.
283:283
918:2x 3x 3x 3x 17
374:2x 11x 17
924:2x 2x 3x 7x 11
347:347
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 3x 11x 17 = 2244
Therefore, the value for common factors is 2244.
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 = 31153164256368/(1x2244)
LCM = 31153164256368/2244
LCM = 13882871772
Thus, we can understand that the LCM of 283,918,374,924,347 is 13882871772.
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FAQs on LCM of 283, 918, 374, 924, 347
1. What is the LCM of 283, 918, 374, 924, 347?
Answer: LCM of 283, 918, 374, 924, 347 is 13882871772.
2. How to calculate the LCM of 283, 918, 374, 924, 347?
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 283, 918, 374, 924, 347.
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}.