LCM of 480, 476, 901, 958, 680
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 480, 476, 901, 958, 680 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 480, 476, 901, 958, 680. So, keep reading to learn more.
Given numbers are 480,476,901,958,680
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 480,476,901,958,680 is 1450105440.
Find LCM of 480,476,901,958,680 with Prime Factorization
| 2 | 480, 476, 901, 958, 680 |
| 2 | 240, 238, 901, 479, 340 |
| 2 | 120, 119, 901, 479, 170 |
| 5 | 60, 119, 901, 479, 85 |
| 17 | 12, 119, 901, 479, 17 |
| 12, 7, 53, 479, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 5 x 17 x 12 x 7 x 53 x 479 x 1 = 1450105440
Therefore, the lowest common multiple of 480,476,901,958,680 is 1450105440.
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.
480 x 476 x 901 x 958 x 680 = 134105751091200
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.
480 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480
476 : 1, 2, 4, 7, 14, 17, 28, 34, 68, 119, 238, 476
901 : 1, 17, 53, 901
958 : 1, 2, 479, 958
680 : 1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 480,476,901,958,680, is 1.
Now, the common factors can be found like this.
480:2x 2x 2x 2x 2x 3x 5
476:2x 2x 7x 17
901:17x 53
958:2x 479
680:2x 2x 2x 5x 17
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 2x 5x 17x 17 = 92480
Therefore, the value for common factors is 92480.
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 = 134105751091200/(1x92480)
LCM = 134105751091200/92480
LCM = 1450105440
Thus, we can understand that the LCM of 480,476,901,958,680 is 1450105440.
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FAQs on LCM of 480, 476, 901, 958, 680
1. What is the LCM of 480, 476, 901, 958, 680?
Answer: LCM of 480, 476, 901, 958, 680 is 1450105440.
2. How to calculate the LCM of 480, 476, 901, 958, 680?
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 480, 476, 901, 958, 680.
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}.