LCM of 727, 441, 708, 624, 377
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 727, 441, 708, 624, 377 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 727, 441, 708, 624, 377. So, keep reading to learn more.
Given numbers are 727,441,708,624,377
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 727,441,708,624,377 is 114100184016.
Find LCM of 727,441,708,624,377 with Prime Factorization
| 2 | 727, 441, 708, 624, 377 |
| 2 | 727, 441, 354, 312, 377 |
| 3 | 727, 441, 177, 156, 377 |
| 13 | 727, 147, 59, 52, 377 |
| 727, 147, 59, 4, 29 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 13 x 727 x 147 x 59 x 4 x 29 = 114100184016
Therefore, the lowest common multiple of 727,441,708,624,377 is 114100184016.
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.
727 x 441 x 708 x 624 x 377 = 53398886119488
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.
727 : 1, 727
441 : 1, 3, 7, 9, 21, 49, 63, 147, 441
708 : 1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708
624 : 1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624
377 : 1, 13, 29, 377
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 727,441,708,624,377, is 1.
Now, the common factors can be found like this.
727:727
441:3x 3x 7x 7
708:2x 2x 3x 59
624:2x 2x 2x 2x 3x 13
377:13x 29
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 3x 3x 13 = 468
Therefore, the value for common factors is 468.
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 = 53398886119488/(1x468)
LCM = 53398886119488/468
LCM = 114100184016
Thus, we can understand that the LCM of 727,441,708,624,377 is 114100184016.
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FAQs on LCM of 727, 441, 708, 624, 377
1. What is the LCM of 727, 441, 708, 624, 377?
Answer: LCM of 727, 441, 708, 624, 377 is 114100184016.
2. How to calculate the LCM of 727, 441, 708, 624, 377?
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 727, 441, 708, 624, 377.
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}.