LCM of 956, 717, 340, 748
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 956, 717, 340, 748 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 956, 717, 340, 748. So, keep reading to learn more.
Given numbers are 956,717,340,748
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 956,717,340,748 is 2681580.
Find LCM of 956,717,340,748 with Prime Factorization
| 2 | 956, 717, 340, 748 |
| 2 | 478, 717, 170, 374 |
| 17 | 239, 717, 85, 187 |
| 239 | 239, 717, 5, 11 |
| 1, 3, 5, 11 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 17 x 239 x 1 x 3 x 5 x 11 = 2681580
Therefore, the lowest common multiple of 956,717,340,748 is 2681580.
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.
956 x 717 x 340 x 748 = 174324152640
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.
956 : 1, 2, 4, 239, 478, 956
717 : 1, 3, 239, 717
340 : 1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340
748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 956,717,340,748, is 1.
Now, the common factors can be found like this.
956:2x 2x 239
717:3x 239
340:2x 2x 5x 17
748:2x 2x 11x 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 2x 17x 239 = 65008
Therefore, the value for common factors is 65008.
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 = 174324152640/(1x65008)
LCM = 174324152640/65008
LCM = 2681580
Thus, we can understand that the LCM of 956,717,340,748 is 2681580.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 956, 717, 340, 748
1. What is the LCM of 956, 717, 340, 748?
Answer: LCM of 956, 717, 340, 748 is 2681580.
2. How to calculate the LCM of 956, 717, 340, 748?
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 956, 717, 340, 748.
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}.