LCM of 914, 117, 738, 494
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 914, 117, 738, 494 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 914, 117, 738, 494. So, keep reading to learn more.
Given numbers are 914,117,738,494
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 914,117,738,494 is 83304702.
Find LCM of 914,117,738,494 with Prime Factorization
| 2 | 914, 117, 738, 494 |
| 3 | 457, 117, 369, 247 |
| 3 | 457, 39, 123, 247 |
| 13 | 457, 13, 41, 247 |
| 457, 1, 41, 19 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 13 x 457 x 1 x 41 x 19 = 83304702
Therefore, the lowest common multiple of 914,117,738,494 is 83304702.
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.
914 x 117 x 738 x 494 = 38986600536
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.
914 : 1, 2, 457, 914
117 : 1, 3, 9, 13, 39, 117
738 : 1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738
494 : 1, 2, 13, 19, 26, 38, 247, 494
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 914,117,738,494, is 1.
Now, the common factors can be found like this.
914:2x 457
117:3x 3x 13
738:2x 3x 3x 41
494:2x 13x 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 3x 3x 13 = 468
Therefore, the value for common factors is 468.
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 = 38986600536/(1x468)
LCM = 38986600536/468
LCM = 83304702
Thus, we can understand that the LCM of 914,117,738,494 is 83304702.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 914, 117, 738, 494
1. What is the LCM of 914, 117, 738, 494?
Answer: LCM of 914, 117, 738, 494 is 83304702.
2. How to calculate the LCM of 914, 117, 738, 494?
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 914, 117, 738, 494.
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}.