LCM of 646, 708, 357, 428
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 646, 708, 357, 428 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 646, 708, 357, 428. So, keep reading to learn more.
Given numbers are 646,708,357,428
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 646,708,357,428 is 171284316.
Find LCM of 646,708,357,428 with Prime Factorization
| 2 | 646, 708, 357, 428 |
| 2 | 323, 354, 357, 214 |
| 3 | 323, 177, 357, 107 |
| 17 | 323, 59, 119, 107 |
| 19, 59, 7, 107 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 17 x 19 x 59 x 7 x 107 = 171284316
Therefore, the lowest common multiple of 646,708,357,428 is 171284316.
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.
646 x 708 x 357 x 428 = 69884000928
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.
646 : 1, 2, 17, 19, 34, 38, 323, 646
708 : 1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708
357 : 1, 3, 7, 17, 21, 51, 119, 357
428 : 1, 2, 4, 107, 214, 428
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 646,708,357,428, is 1.
Now, the common factors can be found like this.
646:2x 17x 19
708:2x 2x 3x 59
357:3x 7x 17
428:2x 2x 107
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 3x 17 = 408
Therefore, the value for common factors is 408.
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 = 69884000928/(1x408)
LCM = 69884000928/408
LCM = 171284316
Thus, we can understand that the LCM of 646,708,357,428 is 171284316.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 646, 708, 357, 428
1. What is the LCM of 646, 708, 357, 428?
Answer: LCM of 646, 708, 357, 428 is 171284316.
2. How to calculate the LCM of 646, 708, 357, 428?
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 646, 708, 357, 428.
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}.