LCM of 654, 814, 851, 182, 524
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 654, 814, 851, 182, 524 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, 814, 851, 182, 524. So, keep reading to learn more.
Given numbers are 654,814,851,182,524
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 654,814,851,182,524 is 145962965148.
Find LCM of 654,814,851,182,524 with Prime Factorization
| 2 | 654, 814, 851, 182, 524 |
| 37 | 327, 407, 851, 91, 262 |
| 327, 11, 23, 91, 262 |
Multiply the prime numbers at the bottom and the left side.
2 x 37 x 327 x 11 x 23 x 91 x 262 = 145962965148
Therefore, the lowest common multiple of 654,814,851,182,524 is 145962965148.
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 814 x 851 x 182 x 524 = 43205037683808
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
814 : 1, 2, 11, 22, 37, 74, 407, 814
851 : 1, 23, 37, 851
182 : 1, 2, 7, 13, 14, 26, 91, 182
524 : 1, 2, 4, 131, 262, 524
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 654,814,851,182,524, is 1.
Now, the common factors can be found like this.
654:2x 3x 109
814:2x 11x 37
851:23x 37
182:2x 7x 13
524:2x 2x 131
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 37 = 296
Therefore, the value for common factors is 296.
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 = 43205037683808/(1x296)
LCM = 43205037683808/296
LCM = 145962965148
Thus, we can understand that the LCM of 654,814,851,182,524 is 145962965148.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 654, 814, 851, 182, 524
1. What is the LCM of 654, 814, 851, 182, 524?
Answer: LCM of 654, 814, 851, 182, 524 is 145962965148.
2. How to calculate the LCM of 654, 814, 851, 182, 524?
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, 814, 851, 182, 524.
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}.