LCM of 298, 918, 378, 504, 878
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 298, 918, 378, 504, 878 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 298, 918, 378, 504, 878. So, keep reading to learn more.
Given numbers are 298,918,378,504,878
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 298,918,378,504,878 is 1681324344.
Find LCM of 298,918,378,504,878 with Prime Factorization
| 2 | 298, 918, 378, 504, 878 |
| 3 | 149, 459, 189, 252, 439 |
| 3 | 149, 153, 63, 84, 439 |
| 3 | 149, 51, 21, 28, 439 |
| 7 | 149, 17, 7, 28, 439 |
| 149, 17, 1, 4, 439 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 3 x 7 x 149 x 17 x 1 x 4 x 439 = 1681324344
Therefore, the lowest common multiple of 298,918,378,504,878 is 1681324344.
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.
298 x 918 x 378 x 504 x 878 = 45758923346304
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.
298 : 1, 2, 149, 298
918 : 1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918
378 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378
504 : 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504
878 : 1, 2, 439, 878
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 298,918,378,504,878, is 2.
Now, the common factors can be found like this.
298:2x 149
918:2x 3x 3x 3x 17
378:2x 3x 3x 3x 7
504:2x 2x 2x 3x 3x 7
878:2x 439
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 3x 3x 3x 3x 3x 7 = 13608
Therefore, the value for common factors is 13608.
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 = 45758923346304/(2x13608)
LCM = 45758923346304/27216
LCM = 1681324344
Thus, we can understand that the LCM of 298,918,378,504,878 is 1681324344.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 298, 918, 378, 504, 878
1. What is the LCM of 298, 918, 378, 504, 878?
Answer: LCM of 298, 918, 378, 504, 878 is 1681324344.
2. How to calculate the LCM of 298, 918, 378, 504, 878?
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 298, 918, 378, 504, 878.
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}.