LCM of 787, 667, 870, 534, 627
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 787, 667, 870, 534, 627 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, 667, 870, 534, 627. So, keep reading to learn more.
Given numbers are 787,667,870,534,627
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 787,667,870,534,627 is 292926129870.
Find LCM of 787,667,870,534,627 with Prime Factorization
| 2 | 787, 667, 870, 534, 627 |
| 3 | 787, 667, 435, 267, 627 |
| 29 | 787, 667, 145, 89, 209 |
| 787, 23, 5, 89, 209 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 29 x 787 x 23 x 5 x 89 x 209 = 292926129870
Therefore, the lowest common multiple of 787,667,870,534,627 is 292926129870.
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 667 x 870 x 534 x 627 = 152907439792140
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
667 : 1, 23, 29, 667
870 : 1, 2, 3, 5, 6, 10, 15, 29, 30, 58, 87, 145, 174, 290, 435, 870
534 : 1, 2, 3, 6, 89, 178, 267, 534
627 : 1, 3, 11, 19, 33, 57, 209, 627
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 787,667,870,534,627, is 1.
Now, the common factors can be found like this.
787:787
667:23x 29
870:2x 3x 5x 29
534:2x 3x 89
627:3x 11x 19
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 3x 29 = 522
Therefore, the value for common factors is 522.
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 = 152907439792140/(1x522)
LCM = 152907439792140/522
LCM = 292926129870
Thus, we can understand that the LCM of 787,667,870,534,627 is 292926129870.
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FAQs on LCM of 787, 667, 870, 534, 627
1. What is the LCM of 787, 667, 870, 534, 627?
Answer: LCM of 787, 667, 870, 534, 627 is 292926129870.
2. How to calculate the LCM of 787, 667, 870, 534, 627?
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, 667, 870, 534, 627.
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}.