LCM of 977, 342, 711, 126
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 977, 342, 711, 126 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 977, 342, 711, 126. So, keep reading to learn more.
Given numbers are 977,342,711,126
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 977,342,711,126 is 184776102.
Find LCM of 977,342,711,126 with Prime Factorization
| 2 | 977, 342, 711, 126 |
| 3 | 977, 171, 711, 63 |
| 3 | 977, 57, 237, 21 |
| 977, 19, 79, 7 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 977 x 19 x 79 x 7 = 184776102
Therefore, the lowest common multiple of 977,342,711,126 is 184776102.
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.
977 x 342 x 711 x 126 = 29933728524
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.
977 : 1, 977
342 : 1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342
711 : 1, 3, 9, 79, 237, 711
126 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 977,342,711,126, is 1.
Now, the common factors can be found like this.
977:977
342:2x 3x 3x 19
711:3x 3x 79
126:2x 3x 3x 7
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 3x 3 = 162
Therefore, the value for common factors is 162.
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 = 29933728524/(1x162)
LCM = 29933728524/162
LCM = 184776102
Thus, we can understand that the LCM of 977,342,711,126 is 184776102.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 977, 342, 711, 126
1. What is the LCM of 977, 342, 711, 126?
Answer: LCM of 977, 342, 711, 126 is 184776102.
2. How to calculate the LCM of 977, 342, 711, 126?
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 977, 342, 711, 126.
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}.