LCM of 705, 410, 781, 310, 750
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 705, 410, 781, 310, 750 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 705, 410, 781, 310, 750. So, keep reading to learn more.
Given numbers are 705,410,781,310,750
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 705,410,781,310,750 is 34990947750.
Find LCM of 705,410,781,310,750 with Prime Factorization
| 2 | 705, 410, 781, 310, 750 |
| 3 | 705, 205, 781, 155, 375 |
| 5 | 235, 205, 781, 155, 125 |
| 47, 41, 781, 31, 25 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 47 x 41 x 781 x 31 x 25 = 34990947750
Therefore, the lowest common multiple of 705,410,781,310,750 is 34990947750.
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.
705 x 410 x 781 x 310 x 750 = 52486421625000
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.
705 : 1, 3, 5, 15, 47, 141, 235, 705
410 : 1, 2, 5, 10, 41, 82, 205, 410
781 : 1, 11, 71, 781
310 : 1, 2, 5, 10, 31, 62, 155, 310
750 : 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 125, 150, 250, 375, 750
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 705,410,781,310,750, is 1.
Now, the common factors can be found like this.
705:3x 5x 47
410:2x 5x 41
781:11x 71
310:2x 5x 31
750:2x 3x 5x 5x 5
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 5x 5x 5 = 1500
Therefore, the value for common factors is 1500.
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 = 52486421625000/(1x1500)
LCM = 52486421625000/1500
LCM = 34990947750
Thus, we can understand that the LCM of 705,410,781,310,750 is 34990947750.
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FAQs on LCM of 705, 410, 781, 310, 750
1. What is the LCM of 705, 410, 781, 310, 750?
Answer: LCM of 705, 410, 781, 310, 750 is 34990947750.
2. How to calculate the LCM of 705, 410, 781, 310, 750?
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 705, 410, 781, 310, 750.
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}.