LCM of 746, 537, 358, 393
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 746, 537, 358, 393 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 746, 537, 358, 393. So, keep reading to learn more.
Given numbers are 746,537,358,393
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 746,537,358,393 is 52478862.
Find LCM of 746,537,358,393 with Prime Factorization
| 2 | 746, 537, 358, 393 |
| 3 | 373, 537, 179, 393 |
| 179 | 373, 179, 179, 131 |
| 373, 1, 1, 131 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 179 x 373 x 1 x 1 x 131 = 52478862
Therefore, the lowest common multiple of 746,537,358,393 is 52478862.
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.
746 x 537 x 358 x 393 = 56362297788
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.
746 : 1, 2, 373, 746
537 : 1, 3, 179, 537
358 : 1, 2, 179, 358
393 : 1, 3, 131, 393
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 746,537,358,393, is 1.
Now, the common factors can be found like this.
746:2x 373
537:3x 179
358:2x 179
393:3x 131
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 179 = 1074
Therefore, the value for common factors is 1074.
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 = 56362297788/(1x1074)
LCM = 56362297788/1074
LCM = 52478862
Thus, we can understand that the LCM of 746,537,358,393 is 52478862.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 746, 537, 358, 393
1. What is the LCM of 746, 537, 358, 393?
Answer: LCM of 746, 537, 358, 393 is 52478862.
2. How to calculate the LCM of 746, 537, 358, 393?
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 746, 537, 358, 393.
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}.