LCM of 754, 564, 663, 417, 893
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 754, 564, 663, 417, 893 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 754, 564, 663, 417, 893. So, keep reading to learn more.
Given numbers are 754,564,663,417,893
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 754,564,663,417,893 is 9546359316.
Find LCM of 754,564,663,417,893 with Prime Factorization
| 2 | 754, 564, 663, 417, 893 |
| 3 | 377, 282, 663, 417, 893 |
| 13 | 377, 94, 221, 139, 893 |
| 47 | 29, 94, 17, 139, 893 |
| 29, 2, 17, 139, 19 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 13 x 47 x 29 x 2 x 17 x 139 x 19 = 9546359316
Therefore, the lowest common multiple of 754,564,663,417,893 is 9546359316.
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.
754 x 564 x 663 x 417 x 893 = 104990859757368
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.
754 : 1, 2, 13, 26, 29, 58, 377, 754
564 : 1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564
663 : 1, 3, 13, 17, 39, 51, 221, 663
417 : 1, 3, 139, 417
893 : 1, 19, 47, 893
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 754,564,663,417,893, is 1.
Now, the common factors can be found like this.
754:2x 13x 29
564:2x 2x 3x 47
663:3x 13x 17
417:3x 139
893:19x 47
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3x 13x 47 = 10998
Therefore, the value for common factors is 10998.
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 = 104990859757368/(1x10998)
LCM = 104990859757368/10998
LCM = 9546359316
Thus, we can understand that the LCM of 754,564,663,417,893 is 9546359316.
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FAQs on LCM of 754, 564, 663, 417, 893
1. What is the LCM of 754, 564, 663, 417, 893?
Answer: LCM of 754, 564, 663, 417, 893 is 9546359316.
2. How to calculate the LCM of 754, 564, 663, 417, 893?
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 754, 564, 663, 417, 893.
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}.