LCM of 804, 540, 815, 416, 707
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 804, 540, 815, 416, 707 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 804, 540, 815, 416, 707. So, keep reading to learn more.
Given numbers are 804,540,815,416,707
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 804,540,815,416,707 is 433619615520.
Find LCM of 804,540,815,416,707 with Prime Factorization
| 2 | 804, 540, 815, 416, 707 |
| 2 | 402, 270, 815, 208, 707 |
| 3 | 201, 135, 815, 104, 707 |
| 5 | 67, 45, 815, 104, 707 |
| 67, 9, 163, 104, 707 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 67 x 9 x 163 x 104 x 707 = 433619615520
Therefore, the lowest common multiple of 804,540,815,416,707 is 433619615520.
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.
804 x 540 x 815 x 416 x 707 = 104068707724800
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.
804 : 1, 2, 3, 4, 6, 12, 67, 134, 201, 268, 402, 804
540 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540
815 : 1, 5, 163, 815
416 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416
707 : 1, 7, 101, 707
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 804,540,815,416,707, is 1.
Now, the common factors can be found like this.
804:2x 2x 3x 67
540:2x 2x 3x 3x 3x 5
815:5x 163
416:2x 2x 2x 2x 2x 13
707:7x 101
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 3x 5 = 240
Therefore, the value for common factors is 240.
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 = 104068707724800/(1x240)
LCM = 104068707724800/240
LCM = 433619615520
Thus, we can understand that the LCM of 804,540,815,416,707 is 433619615520.
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FAQs on LCM of 804, 540, 815, 416, 707
1. What is the LCM of 804, 540, 815, 416, 707?
Answer: LCM of 804, 540, 815, 416, 707 is 433619615520.
2. How to calculate the LCM of 804, 540, 815, 416, 707?
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 804, 540, 815, 416, 707.
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}.