LCM of 716, 702, 702, 342
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 716, 702, 702, 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 716, 702, 702, 342. So, keep reading to learn more.
Given numbers are 716,702,702,342
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 716,702,702,342 is 4775004.
Find LCM of 716,702,702,342 with Prime Factorization
| 2 | 716, 702, 702, 342 |
| 3 | 358, 351, 351, 171 |
| 3 | 358, 117, 117, 57 |
| 3 | 358, 39, 39, 19 |
| 13 | 358, 13, 13, 19 |
| 358, 1, 1, 19 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 3 x 13 x 358 x 1 x 1 x 19 = 4775004
Therefore, the lowest common multiple of 716,702,702,342 is 4775004.
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.
716 x 702 x 702 x 342 = 120673901088
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.
716 : 1, 2, 4, 179, 358, 716
702 : 1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702
702 : 1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702
342 : 1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 716,702,702,342, is 2.
Now, the common factors can be found like this.
716:2x 2x 179
702:2x 3x 3x 3x 13
702:2x 3x 3x 3x 13
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 2x 3x 3x 3x 3x 3x 13 = 12636
Therefore, the value for common factors is 12636.
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 = 120673901088/(2x12636)
LCM = 120673901088/25272
LCM = 4775004
Thus, we can understand that the LCM of 716,702,702,342 is 4775004.
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FAQs on LCM of 716, 702, 702, 342
1. What is the LCM of 716, 702, 702, 342?
Answer: LCM of 716, 702, 702, 342 is 4775004.
2. How to calculate the LCM of 716, 702, 702, 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 716, 702, 702, 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}.