LCM of 925, 120, 638, 891, 641
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 925, 120, 638, 891, 641 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 925, 120, 638, 891, 641. So, keep reading to learn more.
Given numbers are 925,120,638,891,641
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 925,120,638,891,641 is 122564712600.
Find LCM of 925,120,638,891,641 with Prime Factorization
| 2 | 925, 120, 638, 891, 641 |
| 3 | 925, 60, 319, 891, 641 |
| 5 | 925, 20, 319, 297, 641 |
| 11 | 185, 4, 319, 297, 641 |
| 185, 4, 29, 27, 641 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 11 x 185 x 4 x 29 x 27 x 641 = 122564712600
Therefore, the lowest common multiple of 925,120,638,891,641 is 122564712600.
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.
925 x 120 x 638 x 891 x 641 = 40446355158000
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.
925 : 1, 5, 25, 37, 185, 925
120 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120
638 : 1, 2, 11, 22, 29, 58, 319, 638
891 : 1, 3, 9, 11, 27, 33, 81, 99, 297, 891
641 : 1, 641
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 925,120,638,891,641, is 1.
Now, the common factors can be found like this.
925:5x 5x 37
120:2x 2x 2x 3x 5
638:2x 11x 29
891:3x 3x 3x 3x 11
641:641
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 5x 11 = 330
Therefore, the value for common factors is 330.
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 = 40446355158000/(1x330)
LCM = 40446355158000/330
LCM = 122564712600
Thus, we can understand that the LCM of 925,120,638,891,641 is 122564712600.
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FAQs on LCM of 925, 120, 638, 891, 641
1. What is the LCM of 925, 120, 638, 891, 641?
Answer: LCM of 925, 120, 638, 891, 641 is 122564712600.
2. How to calculate the LCM of 925, 120, 638, 891, 641?
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 925, 120, 638, 891, 641.
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}.