LCM of 848, 919, 901, 733, 752
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 848, 919, 901, 733, 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 848, 919, 901, 733, 752. So, keep reading to learn more.
Given numbers are 848,919,901,733,752
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 848,919,901,733,752 is 456417321104.
Find LCM of 848,919,901,733,752 with Prime Factorization
| 2 | 848, 919, 901, 733, 752 |
| 2 | 424, 919, 901, 733, 376 |
| 2 | 212, 919, 901, 733, 188 |
| 2 | 106, 919, 901, 733, 94 |
| 53 | 53, 919, 901, 733, 47 |
| 1, 919, 17, 733, 47 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 53 x 1 x 919 x 17 x 733 x 47 = 456417321104
Therefore, the lowest common multiple of 848,919,901,733,752 is 456417321104.
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.
848 x 919 x 901 x 733 x 752 = 387041888296192
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.
848 : 1, 2, 4, 8, 16, 53, 106, 212, 424, 848
919 : 1, 919
901 : 1, 17, 53, 901
733 : 1, 733
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 848,919,901,733,752, is 1.
Now, the common factors can be found like this.
848:2x 2x 2x 2x 53
919:919
901:17x 53
733:733
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 2x 2x 2x 53 = 848
Therefore, the value for common factors is 848.
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 = 387041888296192/(1x848)
LCM = 387041888296192/848
LCM = 456417321104
Thus, we can understand that the LCM of 848,919,901,733,752 is 456417321104.
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FAQs on LCM of 848, 919, 901, 733, 752
1. What is the LCM of 848, 919, 901, 733, 752?
Answer: LCM of 848, 919, 901, 733, 752 is 456417321104.
2. How to calculate the LCM of 848, 919, 901, 733, 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 848, 919, 901, 733, 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}.