LCM of 437, 721, 152, 560, 743
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 437, 721, 152, 560, 743 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 437, 721, 152, 560, 743. So, keep reading to learn more.
Given numbers are 437,721,152,560,743
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 437,721,152,560,743 is 18728176880.
Find LCM of 437,721,152,560,743 with Prime Factorization
| 2 | 437, 721, 152, 560, 743 |
| 2 | 437, 721, 76, 280, 743 |
| 2 | 437, 721, 38, 140, 743 |
| 7 | 437, 721, 19, 70, 743 |
| 19 | 437, 103, 19, 10, 743 |
| 23, 103, 1, 10, 743 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 7 x 19 x 23 x 103 x 1 x 10 x 743 = 18728176880
Therefore, the lowest common multiple of 437,721,152,560,743 is 18728176880.
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.
437 x 721 x 152 x 560 x 743 = 19926780200320
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.
437 : 1, 19, 23, 437
721 : 1, 7, 103, 721
152 : 1, 2, 4, 8, 19, 38, 76, 152
560 : 1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560
743 : 1, 743
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 437,721,152,560,743, is 1.
Now, the common factors can be found like this.
437:19x 23
721:7x 103
152:2x 2x 2x 19
560:2x 2x 2x 2x 5x 7
743:743
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 7x 19 = 1064
Therefore, the value for common factors is 1064.
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 = 19926780200320/(1x1064)
LCM = 19926780200320/1064
LCM = 18728176880
Thus, we can understand that the LCM of 437,721,152,560,743 is 18728176880.
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FAQs on LCM of 437, 721, 152, 560, 743
1. What is the LCM of 437, 721, 152, 560, 743?
Answer: LCM of 437, 721, 152, 560, 743 is 18728176880.
2. How to calculate the LCM of 437, 721, 152, 560, 743?
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 437, 721, 152, 560, 743.
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}.