LCM of 972, 156, 402, 200
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 972, 156, 402, 200 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 972, 156, 402, 200. So, keep reading to learn more.
Given numbers are 972,156,402,200
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 972,156,402,200 is 42330600.
Find LCM of 972,156,402,200 with Prime Factorization
| 2 | 972, 156, 402, 200 |
| 2 | 486, 78, 201, 100 |
| 3 | 243, 39, 201, 50 |
| 81, 13, 67, 50 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 81 x 13 x 67 x 50 = 42330600
Therefore, the lowest common multiple of 972,156,402,200 is 42330600.
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.
972 x 156 x 402 x 200 = 12191212800
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.
972 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972
156 : 1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156
402 : 1, 2, 3, 6, 67, 134, 201, 402
200 : 1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 972,156,402,200, is 2.
Now, the common factors can be found like this.
972:2x 2x 3x 3x 3x 3x 3
156:2x 2x 3x 13
402:2x 3x 67
200:2x 2x 2x 5x 5
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 2x 3x 3 = 144
Therefore, the value for common factors is 144.
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 = 12191212800/(2x144)
LCM = 12191212800/288
LCM = 42330600
Thus, we can understand that the LCM of 972,156,402,200 is 42330600.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 972, 156, 402, 200
1. What is the LCM of 972, 156, 402, 200?
Answer: LCM of 972, 156, 402, 200 is 42330600.
2. How to calculate the LCM of 972, 156, 402, 200?
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 972, 156, 402, 200.
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}.