LCM of 777, 564, 186, 233, 136
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 777, 564, 186, 233, 136 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, 564, 186, 233, 136. So, keep reading to learn more.
Given numbers are 777,564,186,233,136
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 777,564,186,233,136 is 35873636232.
Find LCM of 777,564,186,233,136 with Prime Factorization
| 2 | 777, 564, 186, 233, 136 |
| 2 | 777, 282, 93, 233, 68 |
| 3 | 777, 141, 93, 233, 34 |
| 259, 47, 31, 233, 34 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 259 x 47 x 31 x 233 x 34 = 35873636232
Therefore, the lowest common multiple of 777,564,186,233,136 is 35873636232.
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 564 x 186 x 233 x 136 = 2582901808704
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
564 : 1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564
186 : 1, 2, 3, 6, 31, 62, 93, 186
233 : 1, 233
136 : 1, 2, 4, 8, 17, 34, 68, 136
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 777,564,186,233,136, is 1.
Now, the common factors can be found like this.
777:3x 7x 37
564:2x 2x 3x 47
186:2x 3x 31
233:233
136:2x 2x 2x 17
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 3 = 72
Therefore, the value for common factors is 72.
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 = 2582901808704/(1x72)
LCM = 2582901808704/72
LCM = 35873636232
Thus, we can understand that the LCM of 777,564,186,233,136 is 35873636232.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 777, 564, 186, 233, 136
1. What is the LCM of 777, 564, 186, 233, 136?
Answer: LCM of 777, 564, 186, 233, 136 is 35873636232.
2. How to calculate the LCM of 777, 564, 186, 233, 136?
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, 564, 186, 233, 136.
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}.