Find the LCM of 240, 812, 932, 972 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 240, 812, 932, 972. So, keep reading to learn more.
Given numbers are 240,812,932,972
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 240,812,932,972 is 919492560.
Find LCM of 240,812,932,972 with Prime Factorization
2 | 240, 812, 932, 972 |
2 | 120, 406, 466, 486 |
3 | 60, 203, 233, 243 |
20, 203, 233, 81 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 20 x 203 x 233 x 81 = 919492560
Therefore, the lowest common multiple of 240,812,932,972 is 919492560.
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.
240 x 812 x 932 x 972 = 176542571520
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.
240 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240
812 : 1, 2, 4, 7, 14, 28, 29, 58, 116, 203, 406, 812
932 : 1, 2, 4, 233, 466, 932
972 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972
4 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 240,812,932,972, is 4.
Now, the common factors can be found like this.
240:2x 2x 2x 2x 3x 5
812:2x 2x 7x 29
932:2x 2x 233
972:2x 2x 3x 3x 3x 3x 3
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 3 = 48
Therefore, the value for common factors is 48.
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 = 176542571520/(4x48)
LCM = 176542571520/192
LCM = 919492560
Thus, we can understand that the LCM of 240,812,932,972 is 919492560.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 240, 812, 932, 972?
Answer: LCM of 240, 812, 932, 972 is 919492560.
2. How to calculate the LCM of 240, 812, 932, 972?
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 240, 812, 932, 972.
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}.