LCM of 787, 391, 870, 774, 667
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 787, 391, 870, 774, 667 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, 391, 870, 774, 667. So, keep reading to learn more.
Given numbers are 787,391,870,774,667
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 787,391,870,774,667 is 34535078910.
Find LCM of 787,391,870,774,667 with Prime Factorization
| 2 | 787, 391, 870, 774, 667 |
| 3 | 787, 391, 435, 387, 667 |
| 23 | 787, 391, 145, 129, 667 |
| 29 | 787, 17, 145, 129, 29 |
| 787, 17, 5, 129, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 23 x 29 x 787 x 17 x 5 x 129 x 1 = 34535078910
Therefore, the lowest common multiple of 787,391,870,774,667 is 34535078910.
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 391 x 870 x 774 x 667 = 138209385797820
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
391 : 1, 17, 23, 391
870 : 1, 2, 3, 5, 6, 10, 15, 29, 30, 58, 87, 145, 174, 290, 435, 870
774 : 1, 2, 3, 6, 9, 18, 43, 86, 129, 258, 387, 774
667 : 1, 23, 29, 667
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 787,391,870,774,667, is 1.
Now, the common factors can be found like this.
787:787
391:17x 23
870:2x 3x 5x 29
774:2x 3x 3x 43
667:23x 29
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 23x 29 = 4002
Therefore, the value for common factors is 4002.
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 = 138209385797820/(1x4002)
LCM = 138209385797820/4002
LCM = 34535078910
Thus, we can understand that the LCM of 787,391,870,774,667 is 34535078910.
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FAQs on LCM of 787, 391, 870, 774, 667
1. What is the LCM of 787, 391, 870, 774, 667?
Answer: LCM of 787, 391, 870, 774, 667 is 34535078910.
2. How to calculate the LCM of 787, 391, 870, 774, 667?
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, 391, 870, 774, 667.
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}.