LCM of 391, 573, 748, 726
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 391, 573, 748, 726 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 391, 573, 748, 726. So, keep reading to learn more.
Given numbers are 391,573,748,726
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 391,573,748,726 is 108436812.
Find LCM of 391,573,748,726 with Prime Factorization
| 2 | 391, 573, 748, 726 |
| 3 | 391, 573, 374, 363 |
| 11 | 391, 191, 374, 121 |
| 17 | 391, 191, 34, 11 |
| 23, 191, 2, 11 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 11 x 17 x 23 x 191 x 2 x 11 = 108436812
Therefore, the lowest common multiple of 391,573,748,726 is 108436812.
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.
391 x 573 x 748 x 726 = 121666103064
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.
391 : 1, 17, 23, 391
573 : 1, 3, 191, 573
748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
726 : 1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 391,573,748,726, is 1.
Now, the common factors can be found like this.
391:17x 23
573:3x 191
748:2x 2x 11x 17
726:2x 3x 11x 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 3x 11x 17 = 1122
Therefore, the value for common factors is 1122.
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 = 121666103064/(1x1122)
LCM = 121666103064/1122
LCM = 108436812
Thus, we can understand that the LCM of 391,573,748,726 is 108436812.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 391, 573, 748, 726
1. What is the LCM of 391, 573, 748, 726?
Answer: LCM of 391, 573, 748, 726 is 108436812.
2. How to calculate the LCM of 391, 573, 748, 726?
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 391, 573, 748, 726.
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}.