LCM of 391, 955, 900, 653, 632
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 391, 955, 900, 653, 632 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 391, 955, 900, 653, 632. So, keep reading to learn more.
Given numbers are 391,955,900,653,632
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 391,955,900,653,632 is 6934623744600.
Find LCM of 391,955,900,653,632 with Prime Factorization
| 2 | 391, 955, 900, 653, 632 |
| 2 | 391, 955, 450, 653, 316 |
| 5 | 391, 955, 225, 653, 158 |
| 391, 191, 45, 653, 158 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 391 x 191 x 45 x 653 x 158 = 6934623744600
Therefore, the lowest common multiple of 391,955,900,653,632 is 6934623744600.
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.
391 x 955 x 900 x 653 x 632 = 138692474892000
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.
391 : 1, 17, 23, 391
955 : 1, 5, 191, 955
900 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900
653 : 1, 653
632 : 1, 2, 4, 8, 79, 158, 316, 632
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 391,955,900,653,632, is 1.
Now, the common factors can be found like this.
391:17x 23
955:5x 191
900:2x 2x 3x 3x 5x 5
653:653
632:2x 2x 2x 79
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 5 = 20
Therefore, the value for common factors is 20.
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 = 138692474892000/(1x20)
LCM = 138692474892000/20
LCM = 6934623744600
Thus, we can understand that the LCM of 391,955,900,653,632 is 6934623744600.
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FAQs on LCM of 391, 955, 900, 653, 632
1. What is the LCM of 391, 955, 900, 653, 632?
Answer: LCM of 391, 955, 900, 653, 632 is 6934623744600.
2. How to calculate the LCM of 391, 955, 900, 653, 632?
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 391, 955, 900, 653, 632.
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}.