LCM of 919, 807, 507, 144, 424
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 919, 807, 507, 144, 424 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 919, 807, 507, 144, 424. So, keep reading to learn more.
Given numbers are 919,807,507,144,424
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 919,807,507,144,424 is 318854725488.
Find LCM of 919,807,507,144,424 with Prime Factorization
| 2 | 919, 807, 507, 144, 424 |
| 2 | 919, 807, 507, 72, 212 |
| 2 | 919, 807, 507, 36, 106 |
| 3 | 919, 807, 507, 18, 53 |
| 919, 269, 169, 6, 53 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 919 x 269 x 169 x 6 x 53 = 318854725488
Therefore, the lowest common multiple of 919,807,507,144,424 is 318854725488.
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.
919 x 807 x 507 x 144 x 424 = 22957540235136
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.
919 : 1, 919
807 : 1, 3, 269, 807
507 : 1, 3, 13, 39, 169, 507
144 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144
424 : 1, 2, 4, 8, 53, 106, 212, 424
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 919,807,507,144,424, is 1.
Now, the common factors can be found like this.
919:919
807:3x 269
507:3x 13x 13
144:2x 2x 2x 2x 3x 3
424:2x 2x 2x 53
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 3x 3 = 72
Therefore, the value for common factors is 72.
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 = 22957540235136/(1x72)
LCM = 22957540235136/72
LCM = 318854725488
Thus, we can understand that the LCM of 919,807,507,144,424 is 318854725488.
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FAQs on LCM of 919, 807, 507, 144, 424
1. What is the LCM of 919, 807, 507, 144, 424?
Answer: LCM of 919, 807, 507, 144, 424 is 318854725488.
2. How to calculate the LCM of 919, 807, 507, 144, 424?
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 919, 807, 507, 144, 424.
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}.