LCM of 314, 377, 362, 910, 145
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 314, 377, 362, 910, 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 314, 377, 362, 910, 145. So, keep reading to learn more.
Given numbers are 314,377,362,910,145
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 314,377,362,910,145 is 749924630.
Find LCM of 314,377,362,910,145 with Prime Factorization
| 2 | 314, 377, 362, 910, 145 |
| 5 | 157, 377, 181, 455, 145 |
| 13 | 157, 377, 181, 91, 29 |
| 29 | 157, 29, 181, 7, 29 |
| 157, 1, 181, 7, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 13 x 29 x 157 x 1 x 181 x 7 x 1 = 749924630
Therefore, the lowest common multiple of 314,377,362,910,145 is 749924630.
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.
314 x 377 x 362 x 910 x 145 = 5654431710200
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.
314 : 1, 2, 157, 314
377 : 1, 13, 29, 377
362 : 1, 2, 181, 362
910 : 1, 2, 5, 7, 10, 13, 14, 26, 35, 65, 70, 91, 130, 182, 455, 910
145 : 1, 5, 29, 145
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 314,377,362,910,145, is 1.
Now, the common factors can be found like this.
314:2x 157
377:13x 29
362:2x 181
910:2x 5x 7x 13
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 2x 5x 13x 29 = 7540
Therefore, the value for common factors is 7540.
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 = 5654431710200/(1x7540)
LCM = 5654431710200/7540
LCM = 749924630
Thus, we can understand that the LCM of 314,377,362,910,145 is 749924630.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 314, 377, 362, 910, 145
1. What is the LCM of 314, 377, 362, 910, 145?
Answer: LCM of 314, 377, 362, 910, 145 is 749924630.
2. How to calculate the LCM of 314, 377, 362, 910, 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 314, 377, 362, 910, 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}.