LCM of 787, 707, 669, 315, 314
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 787, 707, 669, 315, 314 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 787, 707, 669, 315, 314. So, keep reading to learn more.
Given numbers are 787,707,669,315,314
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 787,707,669,315,314 is 1753239194910.
Find LCM of 787,707,669,315,314 with Prime Factorization
| 3 | 787, 707, 669, 315, 314 |
| 7 | 787, 707, 223, 105, 314 |
| 787, 101, 223, 15, 314 |
Multiply the prime numbers at the bottom and the left side.
3 x 7 x 787 x 101 x 223 x 15 x 314 = 1753239194910
Therefore, the lowest common multiple of 787,707,669,315,314 is 1753239194910.
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.
787 x 707 x 669 x 315 x 314 = 36818023093110
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.
787 : 1, 787
707 : 1, 7, 101, 707
669 : 1, 3, 223, 669
315 : 1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315
314 : 1, 2, 157, 314
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 787,707,669,315,314, is 1.
Now, the common factors can be found like this.
787:787
707:7x 101
669:3x 223
315:3x 3x 5x 7
314:2x 157
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 7 = 21
Therefore, the value for common factors is 21.
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 = 36818023093110/(1x21)
LCM = 36818023093110/21
LCM = 1753239194910
Thus, we can understand that the LCM of 787,707,669,315,314 is 1753239194910.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 787, 707, 669, 315, 314
1. What is the LCM of 787, 707, 669, 315, 314?
Answer: LCM of 787, 707, 669, 315, 314 is 1753239194910.
2. How to calculate the LCM of 787, 707, 669, 315, 314?
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 787, 707, 669, 315, 314.
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}.