LCM of 777, 858, 506, 702, 666
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 777, 858, 506, 702, 666 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 777, 858, 506, 702, 666. So, keep reading to learn more.
Given numbers are 777,858,506,702,666
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 777,858,506,702,666 is 45999954.
Find LCM of 777,858,506,702,666 with Prime Factorization
| 2 | 777, 858, 506, 702, 666 |
| 3 | 777, 429, 253, 351, 333 |
| 3 | 259, 143, 253, 117, 111 |
| 11 | 259, 143, 253, 39, 37 |
| 13 | 259, 13, 23, 39, 37 |
| 37 | 259, 1, 23, 3, 37 |
| 7, 1, 23, 3, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 11 x 13 x 37 x 7 x 1 x 23 x 3 x 1 = 45999954
Therefore, the lowest common multiple of 777,858,506,702,666 is 45999954.
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.
777 x 858 x 506 x 702 x 666 = 157713970285872
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.
777 : 1, 3, 7, 21, 37, 111, 259, 777
858 : 1, 2, 3, 6, 11, 13, 22, 26, 33, 39, 66, 78, 143, 286, 429, 858
506 : 1, 2, 11, 22, 23, 46, 253, 506
702 : 1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702
666 : 1, 2, 3, 6, 9, 18, 37, 74, 111, 222, 333, 666
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 777,858,506,702,666, is 1.
Now, the common factors can be found like this.
777:3x 7x 37
858:2x 3x 11x 13
506:2x 11x 23
702:2x 3x 3x 3x 13
666:2x 3x 3x 37
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 3x 3x 3x 3x 11x 13x 37 = 3428568
Therefore, the value for common factors is 3428568.
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 = 157713970285872/(1x3428568)
LCM = 157713970285872/3428568
LCM = 45999954
Thus, we can understand that the LCM of 777,858,506,702,666 is 45999954.
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FAQs on LCM of 777, 858, 506, 702, 666
1. What is the LCM of 777, 858, 506, 702, 666?
Answer: LCM of 777, 858, 506, 702, 666 is 45999954.
2. How to calculate the LCM of 777, 858, 506, 702, 666?
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 777, 858, 506, 702, 666.
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}.