LCM of 751, 660, 726, 298, 705
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 751, 660, 726, 298, 705 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 751, 660, 726, 298, 705. So, keep reading to learn more.
Given numbers are 751,660,726,298,705
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 751,660,726,298,705 is 38182176780.
Find LCM of 751,660,726,298,705 with Prime Factorization
| 2 | 751, 660, 726, 298, 705 |
| 3 | 751, 330, 363, 149, 705 |
| 5 | 751, 110, 121, 149, 235 |
| 11 | 751, 22, 121, 149, 47 |
| 751, 2, 11, 149, 47 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 11 x 751 x 2 x 11 x 149 x 47 = 38182176780
Therefore, the lowest common multiple of 751,660,726,298,705 is 38182176780.
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.
751 x 660 x 726 x 298 x 705 = 75600710024400
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.
751 : 1, 751
660 : 1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660
726 : 1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726
298 : 1, 2, 149, 298
705 : 1, 3, 5, 15, 47, 141, 235, 705
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 751,660,726,298,705, is 1.
Now, the common factors can be found like this.
751:751
660:2x 2x 3x 5x 11
726:2x 3x 11x 11
298:2x 149
705:3x 5x 47
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 3x 5x 11 = 1980
Therefore, the value for common factors is 1980.
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 = 75600710024400/(1x1980)
LCM = 75600710024400/1980
LCM = 38182176780
Thus, we can understand that the LCM of 751,660,726,298,705 is 38182176780.
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FAQs on LCM of 751, 660, 726, 298, 705
1. What is the LCM of 751, 660, 726, 298, 705?
Answer: LCM of 751, 660, 726, 298, 705 is 38182176780.
2. How to calculate the LCM of 751, 660, 726, 298, 705?
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 751, 660, 726, 298, 705.
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}.