LCM of 527, 749, 639, 963, 977
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 527, 749, 639, 963, 977 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 527, 749, 639, 963, 977. So, keep reading to learn more.
Given numbers are 527,749,639,963,977
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 527,749,639,963,977 is 246426753069.
Find LCM of 527,749,639,963,977 with Prime Factorization
| 3 | 527, 749, 639, 963, 977 |
| 3 | 527, 749, 213, 321, 977 |
| 107 | 527, 749, 71, 107, 977 |
| 527, 7, 71, 1, 977 |
Multiply the prime numbers at the bottom and the left side.
3 x 3 x 107 x 527 x 7 x 71 x 1 x 977 = 246426753069
Therefore, the lowest common multiple of 527,749,639,963,977 is 246426753069.
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.
527 x 749 x 639 x 963 x 977 = 237308963205447
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.
527 : 1, 17, 31, 527
749 : 1, 7, 107, 749
639 : 1, 3, 9, 71, 213, 639
963 : 1, 3, 9, 107, 321, 963
977 : 1, 977
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 527,749,639,963,977, is 1.
Now, the common factors can be found like this.
527:17x 31
749:7x 107
639:3x 3x 71
963:3x 3x 107
977:977
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 107 = 963
Therefore, the value for common factors is 963.
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 = 237308963205447/(1x963)
LCM = 237308963205447/963
LCM = 246426753069
Thus, we can understand that the LCM of 527,749,639,963,977 is 246426753069.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 527, 749, 639, 963, 977
1. What is the LCM of 527, 749, 639, 963, 977?
Answer: LCM of 527, 749, 639, 963, 977 is 246426753069.
2. How to calculate the LCM of 527, 749, 639, 963, 977?
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 527, 749, 639, 963, 977.
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}.