LCM of 721, 755, 393, 672, 740
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 721, 755, 393, 672, 740 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 721, 755, 393, 672, 740. So, keep reading to learn more.
Given numbers are 721,755,393,672,740
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 721,755,393,672,740 is 253294913760.
Find LCM of 721,755,393,672,740 with Prime Factorization
| 2 | 721, 755, 393, 672, 740 |
| 2 | 721, 755, 393, 336, 370 |
| 3 | 721, 755, 393, 168, 185 |
| 5 | 721, 755, 131, 56, 185 |
| 7 | 721, 151, 131, 56, 37 |
| 103, 151, 131, 8, 37 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 7 x 103 x 151 x 131 x 8 x 37 = 253294913760
Therefore, the lowest common multiple of 721,755,393,672,740 is 253294913760.
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.
721 x 755 x 393 x 672 x 740 = 106383863779200
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.
721 : 1, 7, 103, 721
755 : 1, 5, 151, 755
393 : 1, 3, 131, 393
672 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 84, 96, 112, 168, 224, 336, 672
740 : 1, 2, 4, 5, 10, 20, 37, 74, 148, 185, 370, 740
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 721,755,393,672,740, is 1.
Now, the common factors can be found like this.
721:7x 103
755:5x 151
393:3x 131
672:2x 2x 2x 2x 2x 3x 7
740:2x 2x 5x 37
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 7 = 420
Therefore, the value for common factors is 420.
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 = 106383863779200/(1x420)
LCM = 106383863779200/420
LCM = 253294913760
Thus, we can understand that the LCM of 721,755,393,672,740 is 253294913760.
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FAQs on LCM of 721, 755, 393, 672, 740
1. What is the LCM of 721, 755, 393, 672, 740?
Answer: LCM of 721, 755, 393, 672, 740 is 253294913760.
2. How to calculate the LCM of 721, 755, 393, 672, 740?
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 721, 755, 393, 672, 740.
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}.