LCM of 717, 674, 294, 140
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 717, 674, 294, 140 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 717, 674, 294, 140. So, keep reading to learn more.
Given numbers are 717,674,294,140
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 717,674,294,140 is 236796420.
Find LCM of 717,674,294,140 with Prime Factorization
| 2 | 717, 674, 294, 140 |
| 3 | 717, 337, 147, 70 |
| 7 | 239, 337, 49, 70 |
| 239, 337, 7, 10 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 7 x 239 x 337 x 7 x 10 = 236796420
Therefore, the lowest common multiple of 717,674,294,140 is 236796420.
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.
717 x 674 x 294 x 140 = 19890899280
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.
717 : 1, 3, 239, 717
674 : 1, 2, 337, 674
294 : 1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294
140 : 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 717,674,294,140, is 1.
Now, the common factors can be found like this.
717:3x 239
674:2x 337
294:2x 3x 7x 7
140:2x 2x 5x 7
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 7 = 84
Therefore, the value for common factors is 84.
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 = 19890899280/(1x84)
LCM = 19890899280/84
LCM = 236796420
Thus, we can understand that the LCM of 717,674,294,140 is 236796420.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 717, 674, 294, 140
1. What is the LCM of 717, 674, 294, 140?
Answer: LCM of 717, 674, 294, 140 is 236796420.
2. How to calculate the LCM of 717, 674, 294, 140?
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 717, 674, 294, 140.
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}.