LCM of 978, 951, 869, 442, 623
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 978, 951, 869, 442, 623 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 978, 951, 869, 442, 623. So, keep reading to learn more.
Given numbers are 978,951,869,442,623
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 978,951,869,442,623 is 37093534179702.
Find LCM of 978,951,869,442,623 with Prime Factorization
| 2 | 978, 951, 869, 442, 623 |
| 3 | 489, 951, 869, 221, 623 |
| 163, 317, 869, 221, 623 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 163 x 317 x 869 x 221 x 623 = 37093534179702
Therefore, the lowest common multiple of 978,951,869,442,623 is 37093534179702.
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.
978 x 951 x 869 x 442 x 623 = 222561205078212
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.
978 : 1, 2, 3, 6, 163, 326, 489, 978
951 : 1, 3, 317, 951
869 : 1, 11, 79, 869
442 : 1, 2, 13, 17, 26, 34, 221, 442
623 : 1, 7, 89, 623
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 978,951,869,442,623, is 1.
Now, the common factors can be found like this.
978:2x 3x 163
951:3x 317
869:11x 79
442:2x 13x 17
623:7x 89
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3 = 6
Therefore, the value for common factors is 6.
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 = 222561205078212/(1x6)
LCM = 222561205078212/6
LCM = 37093534179702
Thus, we can understand that the LCM of 978,951,869,442,623 is 37093534179702.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 978, 951, 869, 442, 623
1. What is the LCM of 978, 951, 869, 442, 623?
Answer: LCM of 978, 951, 869, 442, 623 is 37093534179702.
2. How to calculate the LCM of 978, 951, 869, 442, 623?
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 978, 951, 869, 442, 623.
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}.