LCM of 508, 436, 630, 287, 314
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 508, 436, 630, 287, 314 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 508, 436, 630, 287, 314. So, keep reading to learn more.
Given numbers are 508,436,630,287,314
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 508,436,630,287,314 is 112275312660.
Find LCM of 508,436,630,287,314 with Prime Factorization
| 2 | 508, 436, 630, 287, 314 |
| 2 | 254, 218, 315, 287, 157 |
| 7 | 127, 109, 315, 287, 157 |
| 127, 109, 45, 41, 157 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 7 x 127 x 109 x 45 x 41 x 157 = 112275312660
Therefore, the lowest common multiple of 508,436,630,287,314 is 112275312660.
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.
508 x 436 x 630 x 287 x 314 = 12574835017920
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.
508 : 1, 2, 4, 127, 254, 508
436 : 1, 2, 4, 109, 218, 436
630 : 1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 30, 35, 42, 45, 63, 70, 90, 105, 126, 210, 315, 630
287 : 1, 7, 41, 287
314 : 1, 2, 157, 314
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 508,436,630,287,314, is 1.
Now, the common factors can be found like this.
508:2x 2x 127
436:2x 2x 109
630:2x 3x 3x 5x 7
287:7x 41
314:2x 157
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 2x 7 = 112
Therefore, the value for common factors is 112.
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 = 12574835017920/(1x112)
LCM = 12574835017920/112
LCM = 112275312660
Thus, we can understand that the LCM of 508,436,630,287,314 is 112275312660.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 508, 436, 630, 287, 314
1. What is the LCM of 508, 436, 630, 287, 314?
Answer: LCM of 508, 436, 630, 287, 314 is 112275312660.
2. How to calculate the LCM of 508, 436, 630, 287, 314?
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 508, 436, 630, 287, 314.
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}.