LCM of 314, 640, 617, 471, 638
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 314, 640, 617, 471, 638 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, 640, 617, 471, 638. So, keep reading to learn more.
Given numbers are 314,640,617,471,638
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 314,640,617,471,638 is 59330325120.
Find LCM of 314,640,617,471,638 with Prime Factorization
| 2 | 314, 640, 617, 471, 638 |
| 157 | 157, 320, 617, 471, 319 |
| 1, 320, 617, 3, 319 |
Multiply the prime numbers at the bottom and the left side.
2 x 157 x 1 x 320 x 617 x 3 x 319 = 59330325120
Therefore, the lowest common multiple of 314,640,617,471,638 is 59330325120.
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 640 x 617 x 471 x 638 = 37259444175360
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
640 : 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 128, 160, 320, 640
617 : 1, 617
471 : 1, 3, 157, 471
638 : 1, 2, 11, 22, 29, 58, 319, 638
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 314,640,617,471,638, is 1.
Now, the common factors can be found like this.
314:2x 157
640:2x 2x 2x 2x 2x 2x 2x 5
617:617
471:3x 157
638:2x 11x 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 157 = 628
Therefore, the value for common factors is 628.
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 = 37259444175360/(1x628)
LCM = 37259444175360/628
LCM = 59330325120
Thus, we can understand that the LCM of 314,640,617,471,638 is 59330325120.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 314, 640, 617, 471, 638
1. What is the LCM of 314, 640, 617, 471, 638?
Answer: LCM of 314, 640, 617, 471, 638 is 59330325120.
2. How to calculate the LCM of 314, 640, 617, 471, 638?
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, 640, 617, 471, 638.
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}.