LCM of 719, 719, 660, 384, 472
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 719, 719, 660, 384, 472 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, 719, 660, 384, 472. So, keep reading to learn more.
Given numbers are 719,719,660,384,472
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 719,719,660,384,472 is 895931520.
Find LCM of 719,719,660,384,472 with Prime Factorization
| 2 | 719, 719, 660, 384, 472 |
| 2 | 719, 719, 330, 192, 236 |
| 2 | 719, 719, 165, 96, 118 |
| 3 | 719, 719, 165, 48, 59 |
| 719 | 719, 719, 55, 16, 59 |
| 1, 1, 55, 16, 59 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 719 x 1 x 1 x 55 x 16 x 59 = 895931520
Therefore, the lowest common multiple of 719,719,660,384,472 is 895931520.
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 719 x 660 x 384 x 472 = 61840777236480
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
719 : 1, 719
660 : 1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660
384 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 384
472 : 1, 2, 4, 8, 59, 118, 236, 472
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 719,719,660,384,472, is 1.
Now, the common factors can be found like this.
719:719
719:719
660:2x 2x 3x 5x 11
384:2x 2x 2x 2x 2x 2x 2x 3
472:2x 2x 2x 59
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 719 = 69024
Therefore, the value for common factors is 69024.
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 = 61840777236480/(1x69024)
LCM = 61840777236480/69024
LCM = 895931520
Thus, we can understand that the LCM of 719,719,660,384,472 is 895931520.
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FAQs on LCM of 719, 719, 660, 384, 472
1. What is the LCM of 719, 719, 660, 384, 472?
Answer: LCM of 719, 719, 660, 384, 472 is 895931520.
2. How to calculate the LCM of 719, 719, 660, 384, 472?
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, 719, 660, 384, 472.
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}.