LCM of 351, 637, 846, 493
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 351, 637, 846, 493 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 351, 637, 846, 493. So, keep reading to learn more.
Given numbers are 351,637,846,493
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 351,637,846,493 is 797036058.
Find LCM of 351,637,846,493 with Prime Factorization
| 3 | 351, 637, 846, 493 |
| 3 | 117, 637, 282, 493 |
| 13 | 39, 637, 94, 493 |
| 3, 49, 94, 493 |
Multiply the prime numbers at the bottom and the left side.
3 x 3 x 13 x 3 x 49 x 94 x 493 = 797036058
Therefore, the lowest common multiple of 351,637,846,493 is 797036058.
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.
351 x 637 x 846 x 493 = 93253218786
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.
351 : 1, 3, 9, 13, 27, 39, 117, 351
637 : 1, 7, 13, 49, 91, 637
846 : 1, 2, 3, 6, 9, 18, 47, 94, 141, 282, 423, 846
493 : 1, 17, 29, 493
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 351,637,846,493, is 1.
Now, the common factors can be found like this.
351:3x 3x 3x 13
637:7x 7x 13
846:2x 3x 3x 47
493:17x 29
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 13 = 117
Therefore, the value for common factors is 117.
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 = 93253218786/(1x117)
LCM = 93253218786/117
LCM = 797036058
Thus, we can understand that the LCM of 351,637,846,493 is 797036058.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 351, 637, 846, 493
1. What is the LCM of 351, 637, 846, 493?
Answer: LCM of 351, 637, 846, 493 is 797036058.
2. How to calculate the LCM of 351, 637, 846, 493?
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 351, 637, 846, 493.
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}.