LCM of 703, 666, 118, 216, 787
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 703, 666, 118, 216, 787 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 703, 666, 118, 216, 787. So, keep reading to learn more.
Given numbers are 703,666,118,216,787
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 703,666,118,216,787 is 7050758184.
Find LCM of 703,666,118,216,787 with Prime Factorization
| 2 | 703, 666, 118, 216, 787 |
| 3 | 703, 333, 59, 108, 787 |
| 3 | 703, 111, 59, 36, 787 |
| 37 | 703, 37, 59, 12, 787 |
| 19, 1, 59, 12, 787 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 37 x 19 x 1 x 59 x 12 x 787 = 7050758184
Therefore, the lowest common multiple of 703,666,118,216,787 is 7050758184.
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.
703 x 666 x 118 x 216 x 787 = 9391609901088
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.
703 : 1, 19, 37, 703
666 : 1, 2, 3, 6, 9, 18, 37, 74, 111, 222, 333, 666
118 : 1, 2, 59, 118
216 : 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216
787 : 1, 787
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 703,666,118,216,787, is 1.
Now, the common factors can be found like this.
703:19x 37
666:2x 3x 3x 37
118:2x 59
216:2x 2x 2x 3x 3x 3
787:787
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 37 = 1332
Therefore, the value for common factors is 1332.
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 = 9391609901088/(1x1332)
LCM = 9391609901088/1332
LCM = 7050758184
Thus, we can understand that the LCM of 703,666,118,216,787 is 7050758184.
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FAQs on LCM of 703, 666, 118, 216, 787
1. What is the LCM of 703, 666, 118, 216, 787?
Answer: LCM of 703, 666, 118, 216, 787 is 7050758184.
2. How to calculate the LCM of 703, 666, 118, 216, 787?
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 703, 666, 118, 216, 787.
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}.