LCM of 849, 381, 492, 861, 253
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 849, 381, 492, 861, 253 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 849, 381, 492, 861, 253. So, keep reading to learn more.
Given numbers are 849,381,492,861,253
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 849,381,492,861,253 is 31316543412.
Find LCM of 849,381,492,861,253 with Prime Factorization
| 3 | 849, 381, 492, 861, 253 |
| 41 | 283, 127, 164, 287, 253 |
| 283, 127, 4, 7, 253 |
Multiply the prime numbers at the bottom and the left side.
3 x 41 x 283 x 127 x 4 x 7 x 253 = 31316543412
Therefore, the lowest common multiple of 849,381,492,861,253 is 31316543412.
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.
849 x 381 x 492 x 861 x 253 = 34667413557084
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.
849 : 1, 3, 283, 849
381 : 1, 3, 127, 381
492 : 1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492
861 : 1, 3, 7, 21, 41, 123, 287, 861
253 : 1, 11, 23, 253
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 849,381,492,861,253, is 1.
Now, the common factors can be found like this.
849:3x 283
381:3x 127
492:2x 2x 3x 41
861:3x 7x 41
253:11x 23
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 3x 41 = 1107
Therefore, the value for common factors is 1107.
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 = 34667413557084/(1x1107)
LCM = 34667413557084/1107
LCM = 31316543412
Thus, we can understand that the LCM of 849,381,492,861,253 is 31316543412.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 849, 381, 492, 861, 253
1. What is the LCM of 849, 381, 492, 861, 253?
Answer: LCM of 849, 381, 492, 861, 253 is 31316543412.
2. How to calculate the LCM of 849, 381, 492, 861, 253?
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 849, 381, 492, 861, 253.
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}.