LCM of 746, 413, 268, 588, 931
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 746, 413, 268, 588, 931 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, 413, 268, 588, 931. So, keep reading to learn more.
Given numbers are 746,413,268,588,931
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 746,413,268,588,931 is 16472767668.
Find LCM of 746,413,268,588,931 with Prime Factorization
| 2 | 746, 413, 268, 588, 931 |
| 2 | 373, 413, 134, 294, 931 |
| 7 | 373, 413, 67, 147, 931 |
| 7 | 373, 59, 67, 21, 133 |
| 373, 59, 67, 3, 19 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 7 x 7 x 373 x 59 x 67 x 3 x 19 = 16472767668
Therefore, the lowest common multiple of 746,413,268,588,931 is 16472767668.
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 413 x 268 x 588 x 931 = 45201274480992
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
413 : 1, 7, 59, 413
268 : 1, 2, 4, 67, 134, 268
588 : 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588
931 : 1, 7, 19, 49, 133, 931
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 746,413,268,588,931, is 1.
Now, the common factors can be found like this.
746:2x 373
413:7x 59
268:2x 2x 67
588:2x 2x 3x 7x 7
931:7x 7x 19
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 2x 7x 7x 7 = 2744
Therefore, the value for common factors is 2744.
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 = 45201274480992/(1x2744)
LCM = 45201274480992/2744
LCM = 16472767668
Thus, we can understand that the LCM of 746,413,268,588,931 is 16472767668.
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FAQs on LCM of 746, 413, 268, 588, 931
1. What is the LCM of 746, 413, 268, 588, 931?
Answer: LCM of 746, 413, 268, 588, 931 is 16472767668.
2. How to calculate the LCM of 746, 413, 268, 588, 931?
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, 413, 268, 588, 931.
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}.