LCM of 688, 219, 716, 299, 272
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 688, 219, 716, 299, 272 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 688, 219, 716, 299, 272. So, keep reading to learn more.
Given numbers are 688,219,716,299,272
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 688,219,716,299,272 is 137089973904.
Find LCM of 688,219,716,299,272 with Prime Factorization
| 2 | 688, 219, 716, 299, 272 |
| 2 | 344, 219, 358, 299, 136 |
| 2 | 172, 219, 179, 299, 68 |
| 2 | 86, 219, 179, 299, 34 |
| 43, 219, 179, 299, 17 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 43 x 219 x 179 x 299 x 17 = 137089973904
Therefore, the lowest common multiple of 688,219,716,299,272 is 137089973904.
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.
688 x 219 x 716 x 299 x 272 = 8773758329856
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.
688 : 1, 2, 4, 8, 16, 43, 86, 172, 344, 688
219 : 1, 3, 73, 219
716 : 1, 2, 4, 179, 358, 716
299 : 1, 13, 23, 299
272 : 1, 2, 4, 8, 16, 17, 34, 68, 136, 272
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 688,219,716,299,272, is 1.
Now, the common factors can be found like this.
688:2x 2x 2x 2x 43
219:3x 73
716:2x 2x 179
299:13x 23
272:2x 2x 2x 2x 17
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 2x 2 = 64
Therefore, the value for common factors is 64.
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 = 8773758329856/(1x64)
LCM = 8773758329856/64
LCM = 137089973904
Thus, we can understand that the LCM of 688,219,716,299,272 is 137089973904.
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FAQs on LCM of 688, 219, 716, 299, 272
1. What is the LCM of 688, 219, 716, 299, 272?
Answer: LCM of 688, 219, 716, 299, 272 is 137089973904.
2. How to calculate the LCM of 688, 219, 716, 299, 272?
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 688, 219, 716, 299, 272.
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}.