Find the LCM of 736, 713, 468, 974, 280 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, 713, 468, 974, 280. So, keep reading to learn more.
Given numbers are 736,713,468,974,280
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 736,713,468,974,280 is 45501150240.
Find LCM of 736,713,468,974,280 with Prime Factorization
2 | 736, 713, 468, 974, 280 |
2 | 368, 713, 234, 487, 140 |
2 | 184, 713, 117, 487, 70 |
23 | 92, 713, 117, 487, 35 |
4, 31, 117, 487, 35 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 23 x 4 x 31 x 117 x 487 x 35 = 45501150240
Therefore, the lowest common multiple of 736,713,468,974,280 is 45501150240.
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 713 x 468 x 974 x 280 = 66977693153280
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
713 : 1, 23, 31, 713
468 : 1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468
974 : 1, 2, 487, 974
280 : 1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 736,713,468,974,280, is 1.
Now, the common factors can be found like this.
736:2x 2x 2x 2x 2x 23
713:23x 31
468:2x 2x 3x 3x 13
974:2x 487
280:2x 2x 2x 5x 7
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 2x 23 = 1472
Therefore, the value for common factors is 1472.
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 = 66977693153280/(1x1472)
LCM = 66977693153280/1472
LCM = 45501150240
Thus, we can understand that the LCM of 736,713,468,974,280 is 45501150240.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 736, 713, 468, 974, 280?
Answer: LCM of 736, 713, 468, 974, 280 is 45501150240.
2. How to calculate the LCM of 736, 713, 468, 974, 280?
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, 713, 468, 974, 280.
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}.