LCM of 893, 497, 646, 748, 510
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 893, 497, 646, 748, 510 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 893, 497, 646, 748, 510. So, keep reading to learn more.
Given numbers are 893,497,646,748,510
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 893,497,646,748,510 is 4979671620.
Find LCM of 893,497,646,748,510 with Prime Factorization
| 2 | 893, 497, 646, 748, 510 |
| 17 | 893, 497, 323, 374, 255 |
| 19 | 893, 497, 19, 22, 15 |
| 47, 497, 1, 22, 15 |
Multiply the prime numbers at the bottom and the left side.
2 x 17 x 19 x 47 x 497 x 1 x 22 x 15 = 4979671620
Therefore, the lowest common multiple of 893,497,646,748,510 is 4979671620.
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.
893 x 497 x 646 x 748 x 510 = 109373507461680
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.
893 : 1, 19, 47, 893
497 : 1, 7, 71, 497
646 : 1, 2, 17, 19, 34, 38, 323, 646
748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
510 : 1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 170, 255, 510
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 893,497,646,748,510, is 1.
Now, the common factors can be found like this.
893:19x 47
497:7x 71
646:2x 17x 19
748:2x 2x 11x 17
510:2x 3x 5x 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 17x 17x 19 = 21964
Therefore, the value for common factors is 21964.
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 = 109373507461680/(1x21964)
LCM = 109373507461680/21964
LCM = 4979671620
Thus, we can understand that the LCM of 893,497,646,748,510 is 4979671620.
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FAQs on LCM of 893, 497, 646, 748, 510
1. What is the LCM of 893, 497, 646, 748, 510?
Answer: LCM of 893, 497, 646, 748, 510 is 4979671620.
2. How to calculate the LCM of 893, 497, 646, 748, 510?
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 893, 497, 646, 748, 510.
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}.