LCM of 732, 220, 341, 882, 802
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 732, 220, 341, 882, 802 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 732, 220, 341, 882, 802. So, keep reading to learn more.
Given numbers are 732,220,341,882,802
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 732,220,341,882,802 is 73569392820.
Find LCM of 732,220,341,882,802 with Prime Factorization
| 2 | 732, 220, 341, 882, 802 |
| 2 | 366, 110, 341, 441, 401 |
| 3 | 183, 55, 341, 441, 401 |
| 11 | 61, 55, 341, 147, 401 |
| 61, 5, 31, 147, 401 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 11 x 61 x 5 x 31 x 147 x 401 = 73569392820
Therefore, the lowest common multiple of 732,220,341,882,802 is 73569392820.
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.
732 x 220 x 341 x 882 x 802 = 38844639408960
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.
732 : 1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366, 732
220 : 1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220
341 : 1, 11, 31, 341
882 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 49, 63, 98, 126, 147, 294, 441, 882
802 : 1, 2, 401, 802
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 732,220,341,882,802, is 1.
Now, the common factors can be found like this.
732:2x 2x 3x 61
220:2x 2x 5x 11
341:11x 31
882:2x 3x 3x 7x 7
802:2x 401
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 = 38844639408960/(1x528)
LCM = 38844639408960/528
LCM = 73569392820
Thus, we can understand that the LCM of 732,220,341,882,802 is 73569392820.
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FAQs on LCM of 732, 220, 341, 882, 802
1. What is the LCM of 732, 220, 341, 882, 802?
Answer: LCM of 732, 220, 341, 882, 802 is 73569392820.
2. How to calculate the LCM of 732, 220, 341, 882, 802?
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 732, 220, 341, 882, 802.
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}.