LCM of 605, 748, 768, 299, 426
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 605, 748, 768, 299, 426 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 605, 748, 768, 299, 426. So, keep reading to learn more.
Given numbers are 605,748,768,299,426
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 605,748,768,299,426 is 167685323520.
Find LCM of 605,748,768,299,426 with Prime Factorization
| 2 | 605, 748, 768, 299, 426 |
| 2 | 605, 374, 384, 299, 213 |
| 3 | 605, 187, 192, 299, 213 |
| 11 | 605, 187, 64, 299, 71 |
| 55, 17, 64, 299, 71 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 11 x 55 x 17 x 64 x 299 x 71 = 167685323520
Therefore, the lowest common multiple of 605,748,768,299,426 is 167685323520.
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.
605 x 748 x 768 x 299 x 426 = 44268925409280
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.
605 : 1, 5, 11, 55, 121, 605
748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
768 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 768
299 : 1, 13, 23, 299
426 : 1, 2, 3, 6, 71, 142, 213, 426
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 605,748,768,299,426, is 1.
Now, the common factors can be found like this.
605:5x 11x 11
748:2x 2x 11x 17
768:2x 2x 2x 2x 2x 2x 2x 2x 3
299:13x 23
426:2x 3x 71
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 3x 11 = 264
Therefore, the value for common factors is 264.
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 = 44268925409280/(1x264)
LCM = 44268925409280/264
LCM = 167685323520
Thus, we can understand that the LCM of 605,748,768,299,426 is 167685323520.
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FAQs on LCM of 605, 748, 768, 299, 426
1. What is the LCM of 605, 748, 768, 299, 426?
Answer: LCM of 605, 748, 768, 299, 426 is 167685323520.
2. How to calculate the LCM of 605, 748, 768, 299, 426?
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 605, 748, 768, 299, 426.
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}.