LCM of 272, 261, 780, 299, 319
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 272, 261, 780, 299, 319 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 272, 261, 780, 299, 319. So, keep reading to learn more.
Given numbers are 272,261,780,299,319
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 272,261,780,299,319 is 1167463440.
Find LCM of 272,261,780,299,319 with Prime Factorization
| 2 | 272, 261, 780, 299, 319 |
| 2 | 136, 261, 390, 299, 319 |
| 3 | 68, 261, 195, 299, 319 |
| 13 | 68, 87, 65, 299, 319 |
| 29 | 68, 87, 5, 23, 319 |
| 68, 3, 5, 23, 11 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 13 x 29 x 68 x 3 x 5 x 23 x 11 = 1167463440
Therefore, the lowest common multiple of 272,261,780,299,319 is 1167463440.
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.
272 x 261 x 780 x 299 x 319 = 5281604602560
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.
272 : 1, 2, 4, 8, 16, 17, 34, 68, 136, 272
261 : 1, 3, 9, 29, 87, 261
780 : 1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780
299 : 1, 13, 23, 299
319 : 1, 11, 29, 319
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 272,261,780,299,319, is 1.
Now, the common factors can be found like this.
272:2x 2x 2x 2x 17
261:3x 3x 29
780:2x 2x 3x 5x 13
299:13x 23
319:11x 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 3x 13x 29 = 4524
Therefore, the value for common factors is 4524.
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 = 5281604602560/(1x4524)
LCM = 5281604602560/4524
LCM = 1167463440
Thus, we can understand that the LCM of 272,261,780,299,319 is 1167463440.
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FAQs on LCM of 272, 261, 780, 299, 319
1. What is the LCM of 272, 261, 780, 299, 319?
Answer: LCM of 272, 261, 780, 299, 319 is 1167463440.
2. How to calculate the LCM of 272, 261, 780, 299, 319?
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 272, 261, 780, 299, 319.
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}.