LCM of 948, 635, 975, 623, 623
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 948, 635, 975, 623, 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 948, 635, 975, 623, 623. So, keep reading to learn more.
Given numbers are 948,635,975,623,623
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 948,635,975,623,623 is 24377180100.
Find LCM of 948,635,975,623,623 with Prime Factorization
| 3 | 948, 635, 975, 623, 623 |
| 5 | 316, 635, 325, 623, 623 |
| 7 | 316, 127, 65, 623, 623 |
| 89 | 316, 127, 65, 89, 89 |
| 316, 127, 65, 1, 1 |
Multiply the prime numbers at the bottom and the left side.
3 x 5 x 7 x 89 x 316 x 127 x 65 x 1 x 1 = 24377180100
Therefore, the lowest common multiple of 948,635,975,623,623 is 24377180100.
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.
948 x 635 x 975 x 623 x 623 = 227804748034500
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.
948 : 1, 2, 3, 4, 6, 12, 79, 158, 237, 316, 474, 948
635 : 1, 5, 127, 635
975 : 1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975
623 : 1, 7, 89, 623
623 : 1, 7, 89, 623
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 948,635,975,623,623, is 1.
Now, the common factors can be found like this.
948:2x 2x 3x 79
635:5x 127
975:3x 5x 5x 13
623:7x 89
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.
3x 5x 7x 89 = 9345
Therefore, the value for common factors is 9345.
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 = 227804748034500/(1x9345)
LCM = 227804748034500/9345
LCM = 24377180100
Thus, we can understand that the LCM of 948,635,975,623,623 is 24377180100.
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FAQs on LCM of 948, 635, 975, 623, 623
1. What is the LCM of 948, 635, 975, 623, 623?
Answer: LCM of 948, 635, 975, 623, 623 is 24377180100.
2. How to calculate the LCM of 948, 635, 975, 623, 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 948, 635, 975, 623, 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}.