LCM of 248, 264, 869, 369
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 248, 264, 869, 369 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 248, 264, 869, 369. So, keep reading to learn more.
Given numbers are 248,264,869,369
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 248,264,869,369 is 79523928.
Find LCM of 248,264,869,369 with Prime Factorization
| 2 | 248, 264, 869, 369 |
| 2 | 124, 132, 869, 369 |
| 2 | 62, 66, 869, 369 |
| 3 | 31, 33, 869, 369 |
| 11 | 31, 11, 869, 123 |
| 31, 1, 79, 123 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 11 x 31 x 1 x 79 x 123 = 79523928
Therefore, the lowest common multiple of 248,264,869,369 is 79523928.
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.
248 x 264 x 869 x 369 = 20994316992
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.
248 : 1, 2, 4, 8, 31, 62, 124, 248
264 : 1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264
869 : 1, 11, 79, 869
369 : 1, 3, 9, 41, 123, 369
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 248,264,869,369, is 1.
Now, the common factors can be found like this.
248:2x 2x 2x 31
264:2x 2x 2x 3x 11
869:11x 79
369:3x 3x 41
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 11 = 264
Therefore, the value for common factors is 264.
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 = 20994316992/(1x264)
LCM = 20994316992/264
LCM = 79523928
Thus, we can understand that the LCM of 248,264,869,369 is 79523928.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 248, 264, 869, 369
1. What is the LCM of 248, 264, 869, 369?
Answer: LCM of 248, 264, 869, 369 is 79523928.
2. How to calculate the LCM of 248, 264, 869, 369?
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 248, 264, 869, 369.
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}.