LCM of 747, 958, 231, 884, 498
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 747, 958, 231, 884, 498 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 747, 958, 231, 884, 498. So, keep reading to learn more.
Given numbers are 747,958,231,884,498
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 747,958,231,884,498 is 24355615284.
Find LCM of 747,958,231,884,498 with Prime Factorization
| 2 | 747, 958, 231, 884, 498 |
| 3 | 747, 479, 231, 442, 249 |
| 83 | 83, 479, 77, 442, 249 |
| 1, 479, 77, 442, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 83 x 1 x 479 x 77 x 442 x 3 = 24355615284
Therefore, the lowest common multiple of 747,958,231,884,498 is 24355615284.
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.
747 x 958 x 231 x 884 x 498 = 72774578468592
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.
747 : 1, 3, 9, 83, 249, 747
958 : 1, 2, 479, 958
231 : 1, 3, 7, 11, 21, 33, 77, 231
884 : 1, 2, 4, 13, 17, 26, 34, 52, 68, 221, 442, 884
498 : 1, 2, 3, 6, 83, 166, 249, 498
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 747,958,231,884,498, is 1.
Now, the common factors can be found like this.
747:3x 3x 83
958:2x 479
231:3x 7x 11
884:2x 2x 13x 17
498:2x 3x 83
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 3x 83 = 2988
Therefore, the value for common factors is 2988.
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 = 72774578468592/(1x2988)
LCM = 72774578468592/2988
LCM = 24355615284
Thus, we can understand that the LCM of 747,958,231,884,498 is 24355615284.
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FAQs on LCM of 747, 958, 231, 884, 498
1. What is the LCM of 747, 958, 231, 884, 498?
Answer: LCM of 747, 958, 231, 884, 498 is 24355615284.
2. How to calculate the LCM of 747, 958, 231, 884, 498?
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 747, 958, 231, 884, 498.
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}.