LCM of 291, 646, 508, 900, 508
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 291, 646, 508, 900, 508 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 291, 646, 508, 900, 508. So, keep reading to learn more.
Given numbers are 291,646,508,900,508
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 291,646,508,900,508 is 3581133300.
Find LCM of 291,646,508,900,508 with Prime Factorization
| 2 | 291, 646, 508, 900, 508 |
| 2 | 291, 323, 254, 450, 254 |
| 3 | 291, 323, 127, 225, 127 |
| 127 | 97, 323, 127, 75, 127 |
| 97, 323, 1, 75, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 127 x 97 x 323 x 1 x 75 x 1 = 3581133300
Therefore, the lowest common multiple of 291,646,508,900,508 is 3581133300.
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.
291 x 646 x 508 x 900 x 508 = 43661177193600
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.
291 : 1, 3, 97, 291
646 : 1, 2, 17, 19, 34, 38, 323, 646
508 : 1, 2, 4, 127, 254, 508
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
508 : 1, 2, 4, 127, 254, 508
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 291,646,508,900,508, is 1.
Now, the common factors can be found like this.
291:3x 97
646:2x 17x 19
508:2x 2x 127
900:2x 2x 3x 3x 5x 5
508:2x 2x 127
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 2x 2x 2x 3x 127 = 12192
Therefore, the value for common factors is 12192.
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 = 43661177193600/(1x12192)
LCM = 43661177193600/12192
LCM = 3581133300
Thus, we can understand that the LCM of 291,646,508,900,508 is 3581133300.
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FAQs on LCM of 291, 646, 508, 900, 508
1. What is the LCM of 291, 646, 508, 900, 508?
Answer: LCM of 291, 646, 508, 900, 508 is 3581133300.
2. How to calculate the LCM of 291, 646, 508, 900, 508?
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 291, 646, 508, 900, 508.
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}.