LCM of 719, 904, 596, 246
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 719, 904, 596, 246 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 719, 904, 596, 246. So, keep reading to learn more.
Given numbers are 719,904,596,246
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 719,904,596,246 is 11912110152.
Find LCM of 719,904,596,246 with Prime Factorization
| 2 | 719, 904, 596, 246 |
| 2 | 719, 452, 298, 123 |
| 719, 226, 149, 123 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 719 x 226 x 149 x 123 = 11912110152
Therefore, the lowest common multiple of 719,904,596,246 is 11912110152.
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.
719 x 904 x 596 x 246 = 95296881216
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.
719 : 1, 719
904 : 1, 2, 4, 8, 113, 226, 452, 904
596 : 1, 2, 4, 149, 298, 596
246 : 1, 2, 3, 6, 41, 82, 123, 246
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 719,904,596,246, is 1.
Now, the common factors can be found like this.
719:719
904:2x 2x 2x 113
596:2x 2x 149
246:2x 3x 41
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 2 = 8
Therefore, the value for common factors is 8.
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 = 95296881216/(1x8)
LCM = 95296881216/8
LCM = 11912110152
Thus, we can understand that the LCM of 719,904,596,246 is 11912110152.
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FAQs on LCM of 719, 904, 596, 246
1. What is the LCM of 719, 904, 596, 246?
Answer: LCM of 719, 904, 596, 246 is 11912110152.
2. How to calculate the LCM of 719, 904, 596, 246?
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 719, 904, 596, 246.
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}.