LCM of 628, 588, 348, 334, 542
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 628, 588, 348, 334, 542 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 628, 588, 348, 334, 542. So, keep reading to learn more.
Given numbers are 628,588,348,334,542
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 628,588,348,334,542 is 121160411148.
Find LCM of 628,588,348,334,542 with Prime Factorization
| 2 | 628, 588, 348, 334, 542 |
| 2 | 314, 294, 174, 167, 271 |
| 3 | 157, 147, 87, 167, 271 |
| 157, 49, 29, 167, 271 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 157 x 49 x 29 x 167 x 271 = 121160411148
Therefore, the lowest common multiple of 628,588,348,334,542 is 121160411148.
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.
628 x 588 x 348 x 334 x 542 = 23262798940416
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.
628 : 1, 2, 4, 157, 314, 628
588 : 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588
348 : 1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348
334 : 1, 2, 167, 334
542 : 1, 2, 271, 542
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 628,588,348,334,542, is 2.
Now, the common factors can be found like this.
628:2x 2x 157
588:2x 2x 3x 7x 7
348:2x 2x 3x 29
334:2x 167
542:2x 271
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 3 = 96
Therefore, the value for common factors is 96.
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 = 23262798940416/(2x96)
LCM = 23262798940416/192
LCM = 121160411148
Thus, we can understand that the LCM of 628,588,348,334,542 is 121160411148.
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FAQs on LCM of 628, 588, 348, 334, 542
1. What is the LCM of 628, 588, 348, 334, 542?
Answer: LCM of 628, 588, 348, 334, 542 is 121160411148.
2. How to calculate the LCM of 628, 588, 348, 334, 542?
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 628, 588, 348, 334, 542.
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}.