LCM of 874, 472, 581, 622, 152
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 874, 472, 581, 622, 152 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 874, 472, 581, 622, 152. So, keep reading to learn more.
Given numbers are 874,472,581,622,152
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 874,472,581,622,152 is 37270048424.
Find LCM of 874,472,581,622,152 with Prime Factorization
| 2 | 874, 472, 581, 622, 152 |
| 2 | 437, 236, 581, 311, 76 |
| 2 | 437, 118, 581, 311, 38 |
| 19 | 437, 59, 581, 311, 19 |
| 23, 59, 581, 311, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 19 x 23 x 59 x 581 x 311 x 1 = 37270048424
Therefore, the lowest common multiple of 874,472,581,622,152 is 37270048424.
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.
874 x 472 x 581 x 622 x 152 = 22660189441792
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.
874 : 1, 2, 19, 23, 38, 46, 437, 874
472 : 1, 2, 4, 8, 59, 118, 236, 472
581 : 1, 7, 83, 581
622 : 1, 2, 311, 622
152 : 1, 2, 4, 8, 19, 38, 76, 152
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 874,472,581,622,152, is 1.
Now, the common factors can be found like this.
874:2x 19x 23
472:2x 2x 2x 59
581:7x 83
622:2x 311
152:2x 2x 2x 19
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 19 = 608
Therefore, the value for common factors is 608.
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 = 22660189441792/(1x608)
LCM = 22660189441792/608
LCM = 37270048424
Thus, we can understand that the LCM of 874,472,581,622,152 is 37270048424.
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FAQs on LCM of 874, 472, 581, 622, 152
1. What is the LCM of 874, 472, 581, 622, 152?
Answer: LCM of 874, 472, 581, 622, 152 is 37270048424.
2. How to calculate the LCM of 874, 472, 581, 622, 152?
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 874, 472, 581, 622, 152.
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}.