LCM of 671, 955, 840, 758, 909
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 671, 955, 840, 758, 909 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 671, 955, 840, 758, 909. So, keep reading to learn more.
Given numbers are 671,955,840,758,909
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 671,955,840,758,909 is 12362804795880.
Find LCM of 671,955,840,758,909 with Prime Factorization
| 2 | 671, 955, 840, 758, 909 |
| 3 | 671, 955, 420, 379, 909 |
| 5 | 671, 955, 140, 379, 303 |
| 671, 191, 28, 379, 303 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 671 x 191 x 28 x 379 x 303 = 12362804795880
Therefore, the lowest common multiple of 671,955,840,758,909 is 12362804795880.
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.
671 x 955 x 840 x 758 x 909 = 370884143876400
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.
671 : 1, 11, 61, 671
955 : 1, 5, 191, 955
840 : 1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840
758 : 1, 2, 379, 758
909 : 1, 3, 9, 101, 303, 909
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 671,955,840,758,909, is 1.
Now, the common factors can be found like this.
671:11x 61
955:5x 191
840:2x 2x 2x 3x 5x 7
758:2x 379
909:3x 3x 101
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 5 = 30
Therefore, the value for common factors is 30.
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 = 370884143876400/(1x30)
LCM = 370884143876400/30
LCM = 12362804795880
Thus, we can understand that the LCM of 671,955,840,758,909 is 12362804795880.
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FAQs on LCM of 671, 955, 840, 758, 909
1. What is the LCM of 671, 955, 840, 758, 909?
Answer: LCM of 671, 955, 840, 758, 909 is 12362804795880.
2. How to calculate the LCM of 671, 955, 840, 758, 909?
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 671, 955, 840, 758, 909.
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}.