Find the LCM of 513, 524, 994, 720, 924 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 513, 524, 994, 720, 924. So, keep reading to learn more.
Given numbers are 513,524,994,720,924
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 513,524,994,720,924 is 29391904080.
Find LCM of 513,524,994,720,924 with Prime Factorization
2 | 513, 524, 994, 720, 924 |
2 | 513, 262, 497, 360, 462 |
3 | 513, 131, 497, 180, 231 |
3 | 171, 131, 497, 60, 77 |
7 | 57, 131, 497, 20, 77 |
57, 131, 71, 20, 11 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 7 x 57 x 131 x 71 x 20 x 11 = 29391904080
Therefore, the lowest common multiple of 513,524,994,720,924 is 29391904080.
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.
513 x 524 x 994 x 720 x 924 = 177762235875840
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.
513 : 1, 3, 9, 19, 27, 57, 171, 513
524 : 1, 2, 4, 131, 262, 524
994 : 1, 2, 7, 14, 71, 142, 497, 994
720 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720
924 : 1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 513,524,994,720,924, is 1.
Now, the common factors can be found like this.
513:3x 3x 3x 19
524:2x 2x 131
994:2x 7x 71
720:2x 2x 2x 2x 3x 3x 5
924:2x 2x 3x 7x 11
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 3x 3x 7 = 6048
Therefore, the value for common factors is 6048.
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 = 177762235875840/(1x6048)
LCM = 177762235875840/6048
LCM = 29391904080
Thus, we can understand that the LCM of 513,524,994,720,924 is 29391904080.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 513, 524, 994, 720, 924?
Answer: LCM of 513, 524, 994, 720, 924 is 29391904080.
2. How to calculate the LCM of 513, 524, 994, 720, 924?
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 513, 524, 994, 720, 924.
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}.