LCM of 763, 210, 465, 831, 915
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 763, 210, 465, 831, 915 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 763, 210, 465, 831, 915. So, keep reading to learn more.
Given numbers are 763,210,465,831,915
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 763,210,465,831,915 is 11989942230.
Find LCM of 763,210,465,831,915 with Prime Factorization
| 3 | 763, 210, 465, 831, 915 |
| 5 | 763, 70, 155, 277, 305 |
| 7 | 763, 14, 31, 277, 61 |
| 109, 2, 31, 277, 61 |
Multiply the prime numbers at the bottom and the left side.
3 x 5 x 7 x 109 x 2 x 31 x 277 x 61 = 11989942230
Therefore, the lowest common multiple of 763,210,465,831,915 is 11989942230.
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.
763 x 210 x 465 x 831 x 915 = 56652477036750
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.
763 : 1, 7, 109, 763
210 : 1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210
465 : 1, 3, 5, 15, 31, 93, 155, 465
831 : 1, 3, 277, 831
915 : 1, 3, 5, 15, 61, 183, 305, 915
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 763,210,465,831,915, is 1.
Now, the common factors can be found like this.
763:7x 109
210:2x 3x 5x 7
465:3x 5x 31
831:3x 277
915:3x 5x 61
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 3x 5x 5x 7 = 4725
Therefore, the value for common factors is 4725.
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 = 56652477036750/(1x4725)
LCM = 56652477036750/4725
LCM = 11989942230
Thus, we can understand that the LCM of 763,210,465,831,915 is 11989942230.
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FAQs on LCM of 763, 210, 465, 831, 915
1. What is the LCM of 763, 210, 465, 831, 915?
Answer: LCM of 763, 210, 465, 831, 915 is 11989942230.
2. How to calculate the LCM of 763, 210, 465, 831, 915?
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 763, 210, 465, 831, 915.
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}.