LCM of 241, 152, 979, 858, 648
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 241, 152, 979, 858, 648 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 241, 152, 979, 858, 648. So, keep reading to learn more.
Given numbers are 241,152,979,858,648
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 241,152,979,858,648 is 37763452584.
Find LCM of 241,152,979,858,648 with Prime Factorization
| 2 | 241, 152, 979, 858, 648 |
| 2 | 241, 76, 979, 429, 324 |
| 2 | 241, 38, 979, 429, 162 |
| 3 | 241, 19, 979, 429, 81 |
| 11 | 241, 19, 979, 143, 27 |
| 241, 19, 89, 13, 27 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 11 x 241 x 19 x 89 x 13 x 27 = 37763452584
Therefore, the lowest common multiple of 241,152,979,858,648 is 37763452584.
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.
241 x 152 x 979 x 858 x 648 = 19939102964352
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.
241 : 1, 241
152 : 1, 2, 4, 8, 19, 38, 76, 152
979 : 1, 11, 89, 979
858 : 1, 2, 3, 6, 11, 13, 22, 26, 33, 39, 66, 78, 143, 286, 429, 858
648 : 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 241,152,979,858,648, is 1.
Now, the common factors can be found like this.
241:241
152:2x 2x 2x 19
979:11x 89
858:2x 3x 11x 13
648:2x 2x 2x 3x 3x 3x 3
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 3x 11 = 528
Therefore, the value for common factors is 528.
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 = 19939102964352/(1x528)
LCM = 19939102964352/528
LCM = 37763452584
Thus, we can understand that the LCM of 241,152,979,858,648 is 37763452584.
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FAQs on LCM of 241, 152, 979, 858, 648
1. What is the LCM of 241, 152, 979, 858, 648?
Answer: LCM of 241, 152, 979, 858, 648 is 37763452584.
2. How to calculate the LCM of 241, 152, 979, 858, 648?
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 241, 152, 979, 858, 648.
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}.