LCM of 629, 466, 490, 342
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 629, 466, 490, 342 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 629, 466, 490, 342. So, keep reading to learn more.
Given numbers are 629,466,490,342
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 629,466,490,342 is 12280011030.
Find LCM of 629,466,490,342 with Prime Factorization
| 2 | 629, 466, 490, 342 |
| 629, 233, 245, 171 |
Multiply the prime numbers at the bottom and the left side.
2 x 629 x 233 x 245 x 171 = 12280011030
Therefore, the lowest common multiple of 629,466,490,342 is 12280011030.
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.
629 x 466 x 490 x 342 = 49120044120
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.
629 : 1, 17, 37, 629
466 : 1, 2, 233, 466
490 : 1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 490
342 : 1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 629,466,490,342, is 1.
Now, the common factors can be found like this.
629:17x 37
466:2x 233
490:2x 5x 7x 7
342:2x 3x 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 2 = 4
Therefore, the value for common factors is 4.
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 = 49120044120/(1x4)
LCM = 49120044120/4
LCM = 12280011030
Thus, we can understand that the LCM of 629,466,490,342 is 12280011030.
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FAQs on LCM of 629, 466, 490, 342
1. What is the LCM of 629, 466, 490, 342?
Answer: LCM of 629, 466, 490, 342 is 12280011030.
2. How to calculate the LCM of 629, 466, 490, 342?
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 629, 466, 490, 342.
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}.