LCM of 674, 500, 645, 946, 306
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 674, 500, 645, 946, 306 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 674, 500, 645, 946, 306. So, keep reading to learn more.
Given numbers are 674,500,645,946,306
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 674,500,645,946,306 is 12194176500.
Find LCM of 674,500,645,946,306 with Prime Factorization
| 2 | 674, 500, 645, 946, 306 |
| 3 | 337, 250, 645, 473, 153 |
| 5 | 337, 250, 215, 473, 51 |
| 43 | 337, 50, 43, 473, 51 |
| 337, 50, 1, 11, 51 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 43 x 337 x 50 x 1 x 11 x 51 = 12194176500
Therefore, the lowest common multiple of 674,500,645,946,306 is 12194176500.
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.
674 x 500 x 645 x 946 x 306 = 62921950740000
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.
674 : 1, 2, 337, 674
500 : 1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500
645 : 1, 3, 5, 15, 43, 129, 215, 645
946 : 1, 2, 11, 22, 43, 86, 473, 946
306 : 1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 674,500,645,946,306, is 1.
Now, the common factors can be found like this.
674:2x 337
500:2x 2x 5x 5x 5
645:3x 5x 43
946:2x 11x 43
306:2x 3x 3x 17
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 3x 5x 43 = 5160
Therefore, the value for common factors is 5160.
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 = 62921950740000/(1x5160)
LCM = 62921950740000/5160
LCM = 12194176500
Thus, we can understand that the LCM of 674,500,645,946,306 is 12194176500.
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FAQs on LCM of 674, 500, 645, 946, 306
1. What is the LCM of 674, 500, 645, 946, 306?
Answer: LCM of 674, 500, 645, 946, 306 is 12194176500.
2. How to calculate the LCM of 674, 500, 645, 946, 306?
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 674, 500, 645, 946, 306.
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}.