LCM of 801, 693, 748, 351
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 801, 693, 748, 351 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 801, 693, 748, 351. So, keep reading to learn more.
Given numbers are 801,693,748,351
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 801,693,748,351 is 163567404.
Find LCM of 801,693,748,351 with Prime Factorization
| 3 | 801, 693, 748, 351 |
| 3 | 267, 231, 748, 117 |
| 11 | 89, 77, 748, 39 |
| 89, 7, 68, 39 |
Multiply the prime numbers at the bottom and the left side.
3 x 3 x 11 x 89 x 7 x 68 x 39 = 163567404
Therefore, the lowest common multiple of 801,693,748,351 is 163567404.
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.
801 x 693 x 748 x 351 = 145738556964
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.
801 : 1, 3, 9, 89, 267, 801
693 : 1, 3, 7, 9, 11, 21, 33, 63, 77, 99, 231, 693
748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
351 : 1, 3, 9, 13, 27, 39, 117, 351
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 801,693,748,351, is 1.
Now, the common factors can be found like this.
801:3x 3x 89
693:3x 3x 7x 11
748:2x 2x 11x 17
351:3x 3x 3x 13
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 3x 3x 11 = 891
Therefore, the value for common factors is 891.
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 = 145738556964/(1x891)
LCM = 145738556964/891
LCM = 163567404
Thus, we can understand that the LCM of 801,693,748,351 is 163567404.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 801, 693, 748, 351
1. What is the LCM of 801, 693, 748, 351?
Answer: LCM of 801, 693, 748, 351 is 163567404.
2. How to calculate the LCM of 801, 693, 748, 351?
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 801, 693, 748, 351.
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}.