LCM of 632, 975, 229, 790, 211
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 632, 975, 229, 790, 211 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 632, 975, 229, 790, 211. So, keep reading to learn more.
Given numbers are 632,975,229,790,211
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 632,975,229,790,211 is 29774167800.
Find LCM of 632,975,229,790,211 with Prime Factorization
| 2 | 632, 975, 229, 790, 211 |
| 5 | 316, 975, 229, 395, 211 |
| 79 | 316, 195, 229, 79, 211 |
| 4, 195, 229, 1, 211 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 79 x 4 x 195 x 229 x 1 x 211 = 29774167800
Therefore, the lowest common multiple of 632,975,229,790,211 is 29774167800.
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.
632 x 975 x 229 x 790 x 211 = 23521592562000
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.
632 : 1, 2, 4, 8, 79, 158, 316, 632
975 : 1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975
229 : 1, 229
790 : 1, 2, 5, 10, 79, 158, 395, 790
211 : 1, 211
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 632,975,229,790,211, is 1.
Now, the common factors can be found like this.
632:2x 2x 2x 79
975:3x 5x 5x 13
229:229
790:2x 5x 79
211:211
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 5x 79 = 790
Therefore, the value for common factors is 790.
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 = 23521592562000/(1x790)
LCM = 23521592562000/790
LCM = 29774167800
Thus, we can understand that the LCM of 632,975,229,790,211 is 29774167800.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 632, 975, 229, 790, 211
1. What is the LCM of 632, 975, 229, 790, 211?
Answer: LCM of 632, 975, 229, 790, 211 is 29774167800.
2. How to calculate the LCM of 632, 975, 229, 790, 211?
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 632, 975, 229, 790, 211.
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}.