LCM of 725, 619, 134, 817, 456
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 725, 619, 134, 817, 456 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 725, 619, 134, 817, 456. So, keep reading to learn more.
Given numbers are 725,619,134,817,456
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 725,619,134,817,456 is 589571873400.
Find LCM of 725,619,134,817,456 with Prime Factorization
| 2 | 725, 619, 134, 817, 456 |
| 19 | 725, 619, 67, 817, 228 |
| 725, 619, 67, 43, 12 |
Multiply the prime numbers at the bottom and the left side.
2 x 19 x 725 x 619 x 67 x 43 x 12 = 589571873400
Therefore, the lowest common multiple of 725,619,134,817,456 is 589571873400.
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.
725 x 619 x 134 x 817 x 456 = 22403731189200
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.
725 : 1, 5, 25, 29, 145, 725
619 : 1, 619
134 : 1, 2, 67, 134
817 : 1, 19, 43, 817
456 : 1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 725,619,134,817,456, is 1.
Now, the common factors can be found like this.
725:5x 5x 29
619:619
134:2x 67
817:19x 43
456:2x 2x 2x 3x 19
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 19 = 38
Therefore, the value for common factors is 38.
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 = 22403731189200/(1x38)
LCM = 22403731189200/38
LCM = 589571873400
Thus, we can understand that the LCM of 725,619,134,817,456 is 589571873400.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 725, 619, 134, 817, 456
1. What is the LCM of 725, 619, 134, 817, 456?
Answer: LCM of 725, 619, 134, 817, 456 is 589571873400.
2. How to calculate the LCM of 725, 619, 134, 817, 456?
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 725, 619, 134, 817, 456.
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}.