LCM of 715, 322, 273, 781, 624
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 715, 322, 273, 781, 624 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 715, 322, 273, 781, 624. So, keep reading to learn more.
Given numbers are 715,322,273,781,624
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 715,322,273,781,624 is 392311920.
Find LCM of 715,322,273,781,624 with Prime Factorization
| 2 | 715, 322, 273, 781, 624 |
| 3 | 715, 161, 273, 781, 312 |
| 7 | 715, 161, 91, 781, 104 |
| 11 | 715, 23, 13, 781, 104 |
| 13 | 65, 23, 13, 71, 104 |
| 5, 23, 1, 71, 8 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 7 x 11 x 13 x 5 x 23 x 1 x 71 x 8 = 392311920
Therefore, the lowest common multiple of 715,322,273,781,624 is 392311920.
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.
715 x 322 x 273 x 781 x 624 = 30630930089760
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.
715 : 1, 5, 11, 13, 55, 65, 143, 715
322 : 1, 2, 7, 14, 23, 46, 161, 322
273 : 1, 3, 7, 13, 21, 39, 91, 273
781 : 1, 11, 71, 781
624 : 1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 715,322,273,781,624, is 1.
Now, the common factors can be found like this.
715:5x 11x 13
322:2x 7x 23
273:3x 7x 13
781:11x 71
624:2x 2x 2x 2x 3x 13
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 7x 11x 13x 13 = 78078
Therefore, the value for common factors is 78078.
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 = 30630930089760/(1x78078)
LCM = 30630930089760/78078
LCM = 392311920
Thus, we can understand that the LCM of 715,322,273,781,624 is 392311920.
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FAQs on LCM of 715, 322, 273, 781, 624
1. What is the LCM of 715, 322, 273, 781, 624?
Answer: LCM of 715, 322, 273, 781, 624 is 392311920.
2. How to calculate the LCM of 715, 322, 273, 781, 624?
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 715, 322, 273, 781, 624.
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}.