LCM of 732, 220, 421, 654, 385
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 732, 220, 421, 654, 385 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, 421, 654, 385. So, keep reading to learn more.
Given numbers are 732,220,421,654,385
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 732,220,421,654,385 is 12932437980.
Find LCM of 732,220,421,654,385 with Prime Factorization
| 2 | 732, 220, 421, 654, 385 |
| 2 | 366, 110, 421, 327, 385 |
| 3 | 183, 55, 421, 327, 385 |
| 5 | 61, 55, 421, 109, 385 |
| 11 | 61, 11, 421, 109, 77 |
| 61, 1, 421, 109, 7 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 11 x 61 x 1 x 421 x 109 x 7 = 12932437980
Therefore, the lowest common multiple of 732,220,421,654,385 is 12932437980.
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 421 x 654 x 385 = 17070818133600
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
421 : 1, 421
654 : 1, 2, 3, 6, 109, 218, 327, 654
385 : 1, 5, 7, 11, 35, 55, 77, 385
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 732,220,421,654,385, is 1.
Now, the common factors can be found like this.
732:2x 2x 3x 61
220:2x 2x 5x 11
421:421
654:2x 3x 109
385:5x 7x 11
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 3x 5x 11 = 1320
Therefore, the value for common factors is 1320.
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 = 17070818133600/(1x1320)
LCM = 17070818133600/1320
LCM = 12932437980
Thus, we can understand that the LCM of 732,220,421,654,385 is 12932437980.
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FAQs on LCM of 732, 220, 421, 654, 385
1. What is the LCM of 732, 220, 421, 654, 385?
Answer: LCM of 732, 220, 421, 654, 385 is 12932437980.
2. How to calculate the LCM of 732, 220, 421, 654, 385?
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, 421, 654, 385.
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}.