LCM of 507, 980, 900, 411, 921
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 507, 980, 900, 411, 921 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 507, 980, 900, 411, 921. So, keep reading to learn more.
Given numbers are 507,980,900,411,921
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 507,980,900,411,921 is 313461521100.
Find LCM of 507,980,900,411,921 with Prime Factorization
| 2 | 507, 980, 900, 411, 921 |
| 2 | 507, 490, 450, 411, 921 |
| 3 | 507, 245, 225, 411, 921 |
| 5 | 169, 245, 75, 137, 307 |
| 169, 49, 15, 137, 307 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 169 x 49 x 15 x 137 x 307 = 313461521100
Therefore, the lowest common multiple of 507,980,900,411,921 is 313461521100.
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.
507 x 980 x 900 x 411 x 921 = 169269221394000
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.
507 : 1, 3, 13, 39, 169, 507
980 : 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 49, 70, 98, 140, 196, 245, 490, 980
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
411 : 1, 3, 137, 411
921 : 1, 3, 307, 921
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 507,980,900,411,921, is 1.
Now, the common factors can be found like this.
507:3x 13x 13
980:2x 2x 5x 7x 7
900:2x 2x 3x 3x 5x 5
411:3x 137
921:3x 307
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 3x 3x 3x 5 = 540
Therefore, the value for common factors is 540.
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 = 169269221394000/(1x540)
LCM = 169269221394000/540
LCM = 313461521100
Thus, we can understand that the LCM of 507,980,900,411,921 is 313461521100.
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FAQs on LCM of 507, 980, 900, 411, 921
1. What is the LCM of 507, 980, 900, 411, 921?
Answer: LCM of 507, 980, 900, 411, 921 is 313461521100.
2. How to calculate the LCM of 507, 980, 900, 411, 921?
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 507, 980, 900, 411, 921.
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}.