LCM of 676, 286, 872, 180, 402
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 676, 286, 872, 180, 402 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 676, 286, 872, 180, 402. So, keep reading to learn more.
Given numbers are 676,286,872,180,402
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 676,286,872,180,402 is 4887459720.
Find LCM of 676,286,872,180,402 with Prime Factorization
| 2 | 676, 286, 872, 180, 402 |
| 2 | 338, 143, 436, 90, 201 |
| 3 | 169, 143, 218, 45, 201 |
| 13 | 169, 143, 218, 15, 67 |
| 13, 11, 218, 15, 67 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 13 x 13 x 11 x 218 x 15 x 67 = 4887459720
Therefore, the lowest common multiple of 676,286,872,180,402 is 4887459720.
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.
676 x 286 x 872 x 180 x 402 = 12199099461120
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.
676 : 1, 2, 4, 13, 26, 52, 169, 338, 676
286 : 1, 2, 11, 13, 22, 26, 143, 286
872 : 1, 2, 4, 8, 109, 218, 436, 872
180 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180
402 : 1, 2, 3, 6, 67, 134, 201, 402
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 676,286,872,180,402, is 2.
Now, the common factors can be found like this.
676:2x 2x 13x 13
286:2x 11x 13
872:2x 2x 2x 109
180:2x 2x 3x 3x 5
402:2x 3x 67
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 13 = 1248
Therefore, the value for common factors is 1248.
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 = 12199099461120/(2x1248)
LCM = 12199099461120/2496
LCM = 4887459720
Thus, we can understand that the LCM of 676,286,872,180,402 is 4887459720.
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FAQs on LCM of 676, 286, 872, 180, 402
1. What is the LCM of 676, 286, 872, 180, 402?
Answer: LCM of 676, 286, 872, 180, 402 is 4887459720.
2. How to calculate the LCM of 676, 286, 872, 180, 402?
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 676, 286, 872, 180, 402.
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}.