LCM of 901, 848, 617, 644, 713
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 901, 848, 617, 644, 713 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 901, 848, 617, 644, 713. So, keep reading to learn more.
Given numbers are 901,848,617,644,713
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 901,848,617,644,713 is 44393307952.
Find LCM of 901,848,617,644,713 with Prime Factorization
| 2 | 901, 848, 617, 644, 713 |
| 2 | 901, 424, 617, 322, 713 |
| 23 | 901, 212, 617, 161, 713 |
| 53 | 901, 212, 617, 7, 31 |
| 17, 4, 617, 7, 31 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 23 x 53 x 17 x 4 x 617 x 7 x 31 = 44393307952
Therefore, the lowest common multiple of 901,848,617,644,713 is 44393307952.
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.
901 x 848 x 617 x 644 x 713 = 216461769573952
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.
901 : 1, 17, 53, 901
848 : 1, 2, 4, 8, 16, 53, 106, 212, 424, 848
617 : 1, 617
644 : 1, 2, 4, 7, 14, 23, 28, 46, 92, 161, 322, 644
713 : 1, 23, 31, 713
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 901,848,617,644,713, is 1.
Now, the common factors can be found like this.
901:17x 53
848:2x 2x 2x 2x 53
617:617
644:2x 2x 7x 23
713:23x 31
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 23x 53 = 4876
Therefore, the value for common factors is 4876.
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 = 216461769573952/(1x4876)
LCM = 216461769573952/4876
LCM = 44393307952
Thus, we can understand that the LCM of 901,848,617,644,713 is 44393307952.
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FAQs on LCM of 901, 848, 617, 644, 713
1. What is the LCM of 901, 848, 617, 644, 713?
Answer: LCM of 901, 848, 617, 644, 713 is 44393307952.
2. How to calculate the LCM of 901, 848, 617, 644, 713?
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 901, 848, 617, 644, 713.
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}.