Find the LCM of 972, 972, 839, 157, 657 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, 972, 839, 157, 657. So, keep reading to learn more.
Given numbers are 972,972,839,157,657
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 972,972,839,157,657 is 9346537188.
Find LCM of 972,972,839,157,657 with Prime Factorization
2 | 972, 972, 839, 157, 657 |
2 | 486, 486, 839, 157, 657 |
3 | 243, 243, 839, 157, 657 |
3 | 81, 81, 839, 157, 219 |
3 | 27, 27, 839, 157, 73 |
3 | 9, 9, 839, 157, 73 |
3 | 3, 3, 839, 157, 73 |
1, 1, 839, 157, 73 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 3 x 3 x 3 x 1 x 1 x 839 x 157 x 73 = 9346537188
Therefore, the lowest common multiple of 972,972,839,157,657 is 9346537188.
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 972 x 839 x 157 x 657 = 81763507320624
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
972 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972
839 : 1, 839
157 : 1, 157
657 : 1, 3, 9, 73, 219, 657
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 972,972,839,157,657, is 1.
Now, the common factors can be found like this.
972:2x 2x 3x 3x 3x 3x 3
972:2x 2x 3x 3x 3x 3x 3
839:839
157:157
657:3x 3x 73
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 3x 3x 3x 3x 3x 3x 3 = 8748
Therefore, the value for common factors is 8748.
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 = 81763507320624/(1x8748)
LCM = 81763507320624/8748
LCM = 9346537188
Thus, we can understand that the LCM of 972,972,839,157,657 is 9346537188.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 972, 972, 839, 157, 657?
Answer: LCM of 972, 972, 839, 157, 657 is 9346537188.
2. How to calculate the LCM of 972, 972, 839, 157, 657?
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, 972, 839, 157, 657.
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}.