LCM of 342, 901, 714, 145
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 342, 901, 714, 145 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 342, 901, 714, 145. So, keep reading to learn more.
Given numbers are 342,901,714,145
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 342,901,714,145 is 312764130.
Find LCM of 342,901,714,145 with Prime Factorization
| 2 | 342, 901, 714, 145 |
| 3 | 171, 901, 357, 145 |
| 17 | 57, 901, 119, 145 |
| 57, 53, 7, 145 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 17 x 57 x 53 x 7 x 145 = 312764130
Therefore, the lowest common multiple of 342,901,714,145 is 312764130.
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.
342 x 901 x 714 x 145 = 31901941260
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.
342 : 1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342
901 : 1, 17, 53, 901
714 : 1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714
145 : 1, 5, 29, 145
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 342,901,714,145, is 1.
Now, the common factors can be found like this.
342:2x 3x 3x 19
901:17x 53
714:2x 3x 7x 17
145:5x 29
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 17 = 102
Therefore, the value for common factors is 102.
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 = 31901941260/(1x102)
LCM = 31901941260/102
LCM = 312764130
Thus, we can understand that the LCM of 342,901,714,145 is 312764130.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 342, 901, 714, 145
1. What is the LCM of 342, 901, 714, 145?
Answer: LCM of 342, 901, 714, 145 is 312764130.
2. How to calculate the LCM of 342, 901, 714, 145?
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 342, 901, 714, 145.
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}.