Find the LCM of 972, 770, 506, 189, 120 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, 770, 506, 189, 120. So, keep reading to learn more.
Given numbers are 972,770,506,189,120
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 972,770,506,189,120 is 17214120.
Find LCM of 972,770,506,189,120 with Prime Factorization
2 | 972, 770, 506, 189, 120 |
2 | 486, 385, 253, 189, 60 |
3 | 243, 385, 253, 189, 30 |
3 | 81, 385, 253, 63, 10 |
3 | 27, 385, 253, 21, 10 |
5 | 9, 385, 253, 7, 10 |
7 | 9, 77, 253, 7, 2 |
11 | 9, 11, 253, 1, 2 |
9, 1, 23, 1, 2 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 3 x 5 x 7 x 11 x 9 x 1 x 23 x 1 x 2 = 17214120
Therefore, the lowest common multiple of 972,770,506,189,120 is 17214120.
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 770 x 506 x 189 x 120 = 8589157315200
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
770 : 1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, 770
506 : 1, 2, 11, 22, 23, 46, 253, 506
189 : 1, 3, 7, 9, 21, 27, 63, 189
120 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 972,770,506,189,120, is 1.
Now, the common factors can be found like this.
972:2x 2x 3x 3x 3x 3x 3
770:2x 5x 7x 11
506:2x 11x 23
189:3x 3x 3x 7
120:2x 2x 2x 3x 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 3x 3x 3x 5x 7x 11 = 498960
Therefore, the value for common factors is 498960.
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 = 8589157315200/(1x498960)
LCM = 8589157315200/498960
LCM = 17214120
Thus, we can understand that the LCM of 972,770,506,189,120 is 17214120.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 972, 770, 506, 189, 120?
Answer: LCM of 972, 770, 506, 189, 120 is 17214120.
2. How to calculate the LCM of 972, 770, 506, 189, 120?
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, 770, 506, 189, 120.
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}.