LCM of 801, 605, 234, 635, 752
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 801, 605, 234, 635, 752 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 801, 605, 234, 635, 752. So, keep reading to learn more.
Given numbers are 801,605,234,635,752
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 801,605,234,635,752 is 601662306960.
Find LCM of 801,605,234,635,752 with Prime Factorization
| 2 | 801, 605, 234, 635, 752 |
| 3 | 801, 605, 117, 635, 376 |
| 3 | 267, 605, 39, 635, 376 |
| 5 | 89, 605, 13, 635, 376 |
| 89, 121, 13, 127, 376 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 5 x 89 x 121 x 13 x 127 x 376 = 601662306960
Therefore, the lowest common multiple of 801,605,234,635,752 is 601662306960.
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.
801 x 605 x 234 x 635 x 752 = 54149607626400
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.
801 : 1, 3, 9, 89, 267, 801
605 : 1, 5, 11, 55, 121, 605
234 : 1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234
635 : 1, 5, 127, 635
752 : 1, 2, 4, 8, 16, 47, 94, 188, 376, 752
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 801,605,234,635,752, is 1.
Now, the common factors can be found like this.
801:3x 3x 89
605:5x 11x 11
234:2x 3x 3x 13
635:5x 127
752:2x 2x 2x 2x 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 5 = 90
Therefore, the value for common factors is 90.
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 = 54149607626400/(1x90)
LCM = 54149607626400/90
LCM = 601662306960
Thus, we can understand that the LCM of 801,605,234,635,752 is 601662306960.
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FAQs on LCM of 801, 605, 234, 635, 752
1. What is the LCM of 801, 605, 234, 635, 752?
Answer: LCM of 801, 605, 234, 635, 752 is 601662306960.
2. How to calculate the LCM of 801, 605, 234, 635, 752?
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 801, 605, 234, 635, 752.
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}.