LCM of 719, 494, 390, 264
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 719, 494, 390, 264 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, 494, 390, 264. So, keep reading to learn more.
Given numbers are 719,494,390,264
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 719,494,390,264 is 234422760.
Find LCM of 719,494,390,264 with Prime Factorization
| 2 | 719, 494, 390, 264 |
| 3 | 719, 247, 195, 132 |
| 13 | 719, 247, 65, 44 |
| 719, 19, 5, 44 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 13 x 719 x 19 x 5 x 44 = 234422760
Therefore, the lowest common multiple of 719,494,390,264 is 234422760.
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 494 x 390 x 264 = 36569950560
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
494 : 1, 2, 13, 19, 26, 38, 247, 494
390 : 1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390
264 : 1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 719,494,390,264, is 1.
Now, the common factors can be found like this.
719:719
494:2x 13x 19
390:2x 3x 5x 13
264:2x 2x 2x 3x 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 3x 13 = 156
Therefore, the value for common factors is 156.
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 = 36569950560/(1x156)
LCM = 36569950560/156
LCM = 234422760
Thus, we can understand that the LCM of 719,494,390,264 is 234422760.
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FAQs on LCM of 719, 494, 390, 264
1. What is the LCM of 719, 494, 390, 264?
Answer: LCM of 719, 494, 390, 264 is 234422760.
2. How to calculate the LCM of 719, 494, 390, 264?
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, 494, 390, 264.
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}.