LCM of 807, 282, 828, 357, 454
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 807, 282, 828, 357, 454 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 807, 282, 828, 357, 454. So, keep reading to learn more.
Given numbers are 807,282,828,357,454
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 807,282,828,357,454 is 282782997252.
Find LCM of 807,282,828,357,454 with Prime Factorization
| 2 | 807, 282, 828, 357, 454 |
| 3 | 807, 141, 414, 357, 227 |
| 269, 47, 138, 119, 227 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 269 x 47 x 138 x 119 x 227 = 282782997252
Therefore, the lowest common multiple of 807,282,828,357,454 is 282782997252.
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.
807 x 282 x 828 x 357 x 454 = 30540563703216
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.
807 : 1, 3, 269, 807
282 : 1, 2, 3, 6, 47, 94, 141, 282
828 : 1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828
357 : 1, 3, 7, 17, 21, 51, 119, 357
454 : 1, 2, 227, 454
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 807,282,828,357,454, is 1.
Now, the common factors can be found like this.
807:3x 269
282:2x 3x 47
828:2x 2x 3x 3x 23
357:3x 7x 17
454:2x 227
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 3 = 108
Therefore, the value for common factors is 108.
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 = 30540563703216/(1x108)
LCM = 30540563703216/108
LCM = 282782997252
Thus, we can understand that the LCM of 807,282,828,357,454 is 282782997252.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 807, 282, 828, 357, 454
1. What is the LCM of 807, 282, 828, 357, 454?
Answer: LCM of 807, 282, 828, 357, 454 is 282782997252.
2. How to calculate the LCM of 807, 282, 828, 357, 454?
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 807, 282, 828, 357, 454.
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}.