LCM of 762, 358, 381, 868, 823
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 762, 358, 381, 868, 823 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 762, 358, 381, 868, 823. So, keep reading to learn more.
Given numbers are 762,358,381,868,823
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 762,358,381,868,823 is 48718910436.
Find LCM of 762,358,381,868,823 with Prime Factorization
| 2 | 762, 358, 381, 868, 823 |
| 3 | 381, 179, 381, 434, 823 |
| 127 | 127, 179, 127, 434, 823 |
| 1, 179, 1, 434, 823 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 127 x 1 x 179 x 1 x 434 x 823 = 48718910436
Therefore, the lowest common multiple of 762,358,381,868,823 is 48718910436.
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.
762 x 358 x 381 x 868 x 823 = 74247619504464
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.
762 : 1, 2, 3, 6, 127, 254, 381, 762
358 : 1, 2, 179, 358
381 : 1, 3, 127, 381
868 : 1, 2, 4, 7, 14, 28, 31, 62, 124, 217, 434, 868
823 : 1, 823
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 762,358,381,868,823, is 1.
Now, the common factors can be found like this.
762:2x 3x 127
358:2x 179
381:3x 127
868:2x 2x 7x 31
823:823
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 127 = 1524
Therefore, the value for common factors is 1524.
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 = 74247619504464/(1x1524)
LCM = 74247619504464/1524
LCM = 48718910436
Thus, we can understand that the LCM of 762,358,381,868,823 is 48718910436.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 762, 358, 381, 868, 823
1. What is the LCM of 762, 358, 381, 868, 823?
Answer: LCM of 762, 358, 381, 868, 823 is 48718910436.
2. How to calculate the LCM of 762, 358, 381, 868, 823?
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 762, 358, 381, 868, 823.
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}.