LCM of 787, 408, 108, 759, 437
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 787, 408, 108, 759, 437 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 787, 408, 108, 759, 437. So, keep reading to learn more.
Given numbers are 787,408,108,759,437
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 787,408,108,759,437 is 13891576248.
Find LCM of 787,408,108,759,437 with Prime Factorization
| 2 | 787, 408, 108, 759, 437 |
| 2 | 787, 204, 54, 759, 437 |
| 3 | 787, 102, 27, 759, 437 |
| 23 | 787, 34, 9, 253, 437 |
| 787, 34, 9, 11, 19 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 23 x 787 x 34 x 9 x 11 x 19 = 13891576248
Therefore, the lowest common multiple of 787,408,108,759,437 is 13891576248.
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.
787 x 408 x 108 x 759 x 437 = 11502225133344
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.
787 : 1, 787
408 : 1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408
108 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108
759 : 1, 3, 11, 23, 33, 69, 253, 759
437 : 1, 19, 23, 437
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 787,408,108,759,437, is 1.
Now, the common factors can be found like this.
787:787
408:2x 2x 2x 3x 17
108:2x 2x 3x 3x 3
759:3x 11x 23
437:19x 23
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 23 = 828
Therefore, the value for common factors is 828.
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 = 11502225133344/(1x828)
LCM = 11502225133344/828
LCM = 13891576248
Thus, we can understand that the LCM of 787,408,108,759,437 is 13891576248.
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FAQs on LCM of 787, 408, 108, 759, 437
1. What is the LCM of 787, 408, 108, 759, 437?
Answer: LCM of 787, 408, 108, 759, 437 is 13891576248.
2. How to calculate the LCM of 787, 408, 108, 759, 437?
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 787, 408, 108, 759, 437.
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}.