LCM of 787, 655, 545, 872
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 787, 655, 545, 872 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 787, 655, 545, 872. So, keep reading to learn more.
Given numbers are 787,655,545,872
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 787,655,545,872 is 449502920.
Find LCM of 787,655,545,872 with Prime Factorization
| 5 | 787, 655, 545, 872 |
| 109 | 787, 131, 109, 872 |
| 787, 131, 1, 8 |
Multiply the prime numbers at the bottom and the left side.
5 x 109 x 787 x 131 x 1 x 8 = 449502920
Therefore, the lowest common multiple of 787,655,545,872 is 449502920.
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.
787 x 655 x 545 x 872 = 244979091400
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.
787 : 1, 787
655 : 1, 5, 131, 655
545 : 1, 5, 109, 545
872 : 1, 2, 4, 8, 109, 218, 436, 872
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 787,655,545,872, is 1.
Now, the common factors can be found like this.
787:787
655:5x 131
545:5x 109
872:2x 2x 2x 109
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
5x 109 = 545
Therefore, the value for common factors is 545.
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 = 244979091400/(1x545)
LCM = 244979091400/545
LCM = 449502920
Thus, we can understand that the LCM of 787,655,545,872 is 449502920.
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FAQs on LCM of 787, 655, 545, 872
1. What is the LCM of 787, 655, 545, 872?
Answer: LCM of 787, 655, 545, 872 is 449502920.
2. How to calculate the LCM of 787, 655, 545, 872?
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 787, 655, 545, 872.
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}.