LCM of 719, 949, 336, 527, 260
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 719, 949, 336, 527, 260 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, 949, 336, 527, 260. So, keep reading to learn more.
Given numbers are 719,949,336,527,260
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 719,949,336,527,260 is 604108574160.
Find LCM of 719,949,336,527,260 with Prime Factorization
| 2 | 719, 949, 336, 527, 260 |
| 2 | 719, 949, 168, 527, 130 |
| 13 | 719, 949, 84, 527, 65 |
| 719, 73, 84, 527, 5 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 13 x 719 x 73 x 84 x 527 x 5 = 604108574160
Therefore, the lowest common multiple of 719,949,336,527,260 is 604108574160.
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 949 x 336 x 527 x 260 = 31413645856320
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
949 : 1, 13, 73, 949
336 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 336
527 : 1, 17, 31, 527
260 : 1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 719,949,336,527,260, is 1.
Now, the common factors can be found like this.
719:719
949:13x 73
336:2x 2x 2x 2x 3x 7
527:17x 31
260:2x 2x 5x 13
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 13 = 52
Therefore, the value for common factors is 52.
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 = 31413645856320/(1x52)
LCM = 31413645856320/52
LCM = 604108574160
Thus, we can understand that the LCM of 719,949,336,527,260 is 604108574160.
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FAQs on LCM of 719, 949, 336, 527, 260
1. What is the LCM of 719, 949, 336, 527, 260?
Answer: LCM of 719, 949, 336, 527, 260 is 604108574160.
2. How to calculate the LCM of 719, 949, 336, 527, 260?
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, 949, 336, 527, 260.
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}.