LCM of 306, 964, 540, 712, 781
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 306, 964, 540, 712, 781 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 306, 964, 540, 712, 781. So, keep reading to learn more.
Given numbers are 306,964,540,712,781
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 306,964,540,712,781 is 307560642840.
Find LCM of 306,964,540,712,781 with Prime Factorization
| 2 | 306, 964, 540, 712, 781 |
| 2 | 153, 482, 270, 356, 781 |
| 3 | 153, 241, 135, 178, 781 |
| 3 | 51, 241, 45, 178, 781 |
| 17, 241, 15, 178, 781 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 17 x 241 x 15 x 178 x 781 = 307560642840
Therefore, the lowest common multiple of 306,964,540,712,781 is 307560642840.
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.
306 x 964 x 540 x 712 x 781 = 88577465137920
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.
306 : 1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306
964 : 1, 2, 4, 241, 482, 964
540 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540
712 : 1, 2, 4, 8, 89, 178, 356, 712
781 : 1, 11, 71, 781
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 306,964,540,712,781, is 1.
Now, the common factors can be found like this.
306:2x 3x 3x 17
964:2x 2x 241
540:2x 2x 3x 3x 3x 5
712:2x 2x 2x 89
781:11x 71
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 2x 3x 3 = 288
Therefore, the value for common factors is 288.
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 = 88577465137920/(1x288)
LCM = 88577465137920/288
LCM = 307560642840
Thus, we can understand that the LCM of 306,964,540,712,781 is 307560642840.
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FAQs on LCM of 306, 964, 540, 712, 781
1. What is the LCM of 306, 964, 540, 712, 781?
Answer: LCM of 306, 964, 540, 712, 781 is 307560642840.
2. How to calculate the LCM of 306, 964, 540, 712, 781?
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 306, 964, 540, 712, 781.
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}.