LCM of 654, 850, 836, 749, 592
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 654, 850, 836, 749, 592 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 654, 850, 836, 749, 592. So, keep reading to learn more.
Given numbers are 654,850,836,749,592
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 654,850,836,749,592 is 12879129001200.
Find LCM of 654,850,836,749,592 with Prime Factorization
| 2 | 654, 850, 836, 749, 592 |
| 2 | 327, 425, 418, 749, 296 |
| 327, 425, 209, 749, 148 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 327 x 425 x 209 x 749 x 148 = 12879129001200
Therefore, the lowest common multiple of 654,850,836,749,592 is 12879129001200.
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.
654 x 850 x 836 x 749 x 592 = 206066064019200
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.
654 : 1, 2, 3, 6, 109, 218, 327, 654
850 : 1, 2, 5, 10, 17, 25, 34, 50, 85, 170, 425, 850
836 : 1, 2, 4, 11, 19, 22, 38, 44, 76, 209, 418, 836
749 : 1, 7, 107, 749
592 : 1, 2, 4, 8, 16, 37, 74, 148, 296, 592
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 654,850,836,749,592, is 1.
Now, the common factors can be found like this.
654:2x 3x 109
850:2x 5x 5x 17
836:2x 2x 11x 19
749:7x 107
592:2x 2x 2x 2x 37
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 2 = 16
Therefore, the value for common factors is 16.
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 = 206066064019200/(1x16)
LCM = 206066064019200/16
LCM = 12879129001200
Thus, we can understand that the LCM of 654,850,836,749,592 is 12879129001200.
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FAQs on LCM of 654, 850, 836, 749, 592
1. What is the LCM of 654, 850, 836, 749, 592?
Answer: LCM of 654, 850, 836, 749, 592 is 12879129001200.
2. How to calculate the LCM of 654, 850, 836, 749, 592?
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 654, 850, 836, 749, 592.
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}.