Find the LCM of 154, 288, 763, 495, 850 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 154, 288, 763, 495, 850. So, keep reading to learn more.
Given numbers are 154,288,763,495,850
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 154,288,763,495,850 is 1027303200.
Find LCM of 154,288,763,495,850 with Prime Factorization
2 | 154, 288, 763, 495, 850 |
3 | 77, 144, 763, 495, 425 |
3 | 77, 48, 763, 165, 425 |
5 | 77, 16, 763, 55, 425 |
7 | 77, 16, 763, 11, 85 |
11 | 11, 16, 109, 11, 85 |
1, 16, 109, 1, 85 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 5 x 7 x 11 x 1 x 16 x 109 x 1 x 85 = 1027303200
Therefore, the lowest common multiple of 154,288,763,495,850 is 1027303200.
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.
154 x 288 x 763 x 495 x 850 = 14238422352000
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.
154 : 1, 2, 7, 11, 14, 22, 77, 154
288 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288
763 : 1, 7, 109, 763
495 : 1, 3, 5, 9, 11, 15, 33, 45, 55, 99, 165, 495
850 : 1, 2, 5, 10, 17, 25, 34, 50, 85, 170, 425, 850
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 154,288,763,495,850, is 1.
Now, the common factors can be found like this.
154:2x 7x 11
288:2x 2x 2x 2x 2x 3x 3
763:7x 109
495:3x 3x 5x 11
850:2x 5x 5x 17
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 5x 7x 11 = 13860
Therefore, the value for common factors is 13860.
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 = 14238422352000/(1x13860)
LCM = 14238422352000/13860
LCM = 1027303200
Thus, we can understand that the LCM of 154,288,763,495,850 is 1027303200.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 154, 288, 763, 495, 850?
Answer: LCM of 154, 288, 763, 495, 850 is 1027303200.
2. How to calculate the LCM of 154, 288, 763, 495, 850?
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 154, 288, 763, 495, 850.
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}.