LCM of 492, 945, 517, 697, 674
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 492, 945, 517, 697, 674 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 492, 945, 517, 697, 674. So, keep reading to learn more.
Given numbers are 492,945,517,697,674
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 492,945,517,697,674 is 459034177140.
Find LCM of 492,945,517,697,674 with Prime Factorization
| 2 | 492, 945, 517, 697, 674 |
| 3 | 246, 945, 517, 697, 337 |
| 41 | 82, 315, 517, 697, 337 |
| 2, 315, 517, 17, 337 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 41 x 2 x 315 x 517 x 17 x 337 = 459034177140
Therefore, the lowest common multiple of 492,945,517,697,674 is 459034177140.
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.
492 x 945 x 517 x 697 x 674 = 112922407576440
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.
492 : 1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492
945 : 1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945
517 : 1, 11, 47, 517
697 : 1, 17, 41, 697
674 : 1, 2, 337, 674
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 492,945,517,697,674, is 1.
Now, the common factors can be found like this.
492:2x 2x 3x 41
945:3x 3x 3x 5x 7
517:11x 47
697:17x 41
674:2x 337
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 41 = 246
Therefore, the value for common factors is 246.
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 = 112922407576440/(1x246)
LCM = 112922407576440/246
LCM = 459034177140
Thus, we can understand that the LCM of 492,945,517,697,674 is 459034177140.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 492, 945, 517, 697, 674
1. What is the LCM of 492, 945, 517, 697, 674?
Answer: LCM of 492, 945, 517, 697, 674 is 459034177140.
2. How to calculate the LCM of 492, 945, 517, 697, 674?
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 492, 945, 517, 697, 674.
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}.