LCM of 736, 306, 548, 274, 529
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 736, 306, 548, 274, 529 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 736, 306, 548, 274, 529. So, keep reading to learn more.
Given numbers are 736,306,548,274,529
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 736,306,548,274,529 is 354827808.
Find LCM of 736,306,548,274,529 with Prime Factorization
| 2 | 736, 306, 548, 274, 529 |
| 2 | 368, 153, 274, 137, 529 |
| 23 | 184, 153, 137, 137, 529 |
| 137 | 8, 153, 137, 137, 23 |
| 8, 153, 1, 1, 23 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 23 x 137 x 8 x 153 x 1 x 1 x 23 = 354827808
Therefore, the lowest common multiple of 736,306,548,274,529 is 354827808.
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.
736 x 306 x 548 x 274 x 529 = 17888998768128
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.
736 : 1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736
306 : 1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306
548 : 1, 2, 4, 137, 274, 548
274 : 1, 2, 137, 274
529 : 1, 23, 529
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 736,306,548,274,529, is 1.
Now, the common factors can be found like this.
736:2x 2x 2x 2x 2x 23
306:2x 3x 3x 17
548:2x 2x 137
274:2x 137
529:23x 23
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 23x 137 = 50416
Therefore, the value for common factors is 50416.
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 = 17888998768128/(1x50416)
LCM = 17888998768128/50416
LCM = 354827808
Thus, we can understand that the LCM of 736,306,548,274,529 is 354827808.
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FAQs on LCM of 736, 306, 548, 274, 529
1. What is the LCM of 736, 306, 548, 274, 529?
Answer: LCM of 736, 306, 548, 274, 529 is 354827808.
2. How to calculate the LCM of 736, 306, 548, 274, 529?
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 736, 306, 548, 274, 529.
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}.