LCM of 495, 916, 319, 451, 264
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 495, 916, 319, 451, 264 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 495, 916, 319, 451, 264. So, keep reading to learn more.
Given numbers are 495,916,319,451,264
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 495,916,319,451,264 is 1078232760.
Find LCM of 495,916,319,451,264 with Prime Factorization
| 2 | 495, 916, 319, 451, 264 |
| 2 | 495, 458, 319, 451, 132 |
| 3 | 495, 229, 319, 451, 66 |
| 11 | 165, 229, 319, 451, 22 |
| 15, 229, 29, 41, 2 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 11 x 15 x 229 x 29 x 41 x 2 = 1078232760
Therefore, the lowest common multiple of 495,916,319,451,264 is 1078232760.
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.
495 x 916 x 319 x 451 x 264 = 17221533642720
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.
495 : 1, 3, 5, 9, 11, 15, 33, 45, 55, 99, 165, 495
916 : 1, 2, 4, 229, 458, 916
319 : 1, 11, 29, 319
451 : 1, 11, 41, 451
264 : 1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 495,916,319,451,264, is 1.
Now, the common factors can be found like this.
495:3x 3x 5x 11
916:2x 2x 229
319:11x 29
451:11x 41
264:2x 2x 2x 3x 11
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 3x 11x 11x 11 = 15972
Therefore, the value for common factors is 15972.
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 = 17221533642720/(1x15972)
LCM = 17221533642720/15972
LCM = 1078232760
Thus, we can understand that the LCM of 495,916,319,451,264 is 1078232760.
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FAQs on LCM of 495, 916, 319, 451, 264
1. What is the LCM of 495, 916, 319, 451, 264?
Answer: LCM of 495, 916, 319, 451, 264 is 1078232760.
2. How to calculate the LCM of 495, 916, 319, 451, 264?
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 495, 916, 319, 451, 264.
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}.