LCM of 902, 720, 196, 322, 733
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 902, 720, 196, 322, 733 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 902, 720, 196, 322, 733. So, keep reading to learn more.
Given numbers are 902,720,196,322,733
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 902,720,196,322,733 is 268248269520.
Find LCM of 902,720,196,322,733 with Prime Factorization
| 2 | 902, 720, 196, 322, 733 |
| 2 | 451, 360, 98, 161, 733 |
| 7 | 451, 180, 49, 161, 733 |
| 451, 180, 7, 23, 733 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 7 x 451 x 180 x 7 x 23 x 733 = 268248269520
Therefore, the lowest common multiple of 902,720,196,322,733 is 268248269520.
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.
902 x 720 x 196 x 322 x 733 = 30043806186240
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.
902 : 1, 2, 11, 22, 41, 82, 451, 902
720 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720
196 : 1, 2, 4, 7, 14, 28, 49, 98, 196
322 : 1, 2, 7, 14, 23, 46, 161, 322
733 : 1, 733
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 902,720,196,322,733, is 1.
Now, the common factors can be found like this.
902:2x 11x 41
720:2x 2x 2x 2x 3x 3x 5
196:2x 2x 7x 7
322:2x 7x 23
733:733
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 7 = 112
Therefore, the value for common factors is 112.
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 = 30043806186240/(1x112)
LCM = 30043806186240/112
LCM = 268248269520
Thus, we can understand that the LCM of 902,720,196,322,733 is 268248269520.
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FAQs on LCM of 902, 720, 196, 322, 733
1. What is the LCM of 902, 720, 196, 322, 733?
Answer: LCM of 902, 720, 196, 322, 733 is 268248269520.
2. How to calculate the LCM of 902, 720, 196, 322, 733?
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 902, 720, 196, 322, 733.
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}.