LCM of 754, 465, 214, 174, 642
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 754, 465, 214, 174, 642 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 754, 465, 214, 174, 642. So, keep reading to learn more.
Given numbers are 754,465,214,174,642
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 754,465,214,174,642 is 37515270.
Find LCM of 754,465,214,174,642 with Prime Factorization
| 2 | 754, 465, 214, 174, 642 |
| 3 | 377, 465, 107, 87, 321 |
| 29 | 377, 155, 107, 29, 107 |
| 107 | 13, 155, 107, 1, 107 |
| 13, 155, 1, 1, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 29 x 107 x 13 x 155 x 1 x 1 x 1 = 37515270
Therefore, the lowest common multiple of 754,465,214,174,642 is 37515270.
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.
754 x 465 x 214 x 174 x 642 = 8381511562320
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.
754 : 1, 2, 13, 26, 29, 58, 377, 754
465 : 1, 3, 5, 15, 31, 93, 155, 465
214 : 1, 2, 107, 214
174 : 1, 2, 3, 6, 29, 58, 87, 174
642 : 1, 2, 3, 6, 107, 214, 321, 642
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 754,465,214,174,642, is 1.
Now, the common factors can be found like this.
754:2x 13x 29
465:3x 5x 31
214:2x 107
174:2x 3x 29
642:2x 3x 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 3x 29x 107 = 223416
Therefore, the value for common factors is 223416.
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 = 8381511562320/(1x223416)
LCM = 8381511562320/223416
LCM = 37515270
Thus, we can understand that the LCM of 754,465,214,174,642 is 37515270.
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FAQs on LCM of 754, 465, 214, 174, 642
1. What is the LCM of 754, 465, 214, 174, 642?
Answer: LCM of 754, 465, 214, 174, 642 is 37515270.
2. How to calculate the LCM of 754, 465, 214, 174, 642?
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 754, 465, 214, 174, 642.
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}.