LCM of 807, 306, 583, 274, 747
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 807, 306, 583, 274, 747 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 807, 306, 583, 274, 747. So, keep reading to learn more.
Given numbers are 807,306,583,274,747
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 807,306,583,274,747 is 545683624002.
Find LCM of 807,306,583,274,747 with Prime Factorization
| 2 | 807, 306, 583, 274, 747 |
| 3 | 807, 153, 583, 137, 747 |
| 3 | 269, 51, 583, 137, 249 |
| 269, 17, 583, 137, 83 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 269 x 17 x 583 x 137 x 83 = 545683624002
Therefore, the lowest common multiple of 807,306,583,274,747 is 545683624002.
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.
807 x 306 x 583 x 274 x 747 = 29466915696108
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.
807 : 1, 3, 269, 807
306 : 1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306
583 : 1, 11, 53, 583
274 : 1, 2, 137, 274
747 : 1, 3, 9, 83, 249, 747
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 807,306,583,274,747, is 1.
Now, the common factors can be found like this.
807:3x 269
306:2x 3x 3x 17
583:11x 53
274:2x 137
747:3x 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 3x 3x 3 = 54
Therefore, the value for common factors is 54.
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 = 29466915696108/(1x54)
LCM = 29466915696108/54
LCM = 545683624002
Thus, we can understand that the LCM of 807,306,583,274,747 is 545683624002.
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FAQs on LCM of 807, 306, 583, 274, 747
1. What is the LCM of 807, 306, 583, 274, 747?
Answer: LCM of 807, 306, 583, 274, 747 is 545683624002.
2. How to calculate the LCM of 807, 306, 583, 274, 747?
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 807, 306, 583, 274, 747.
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}.