LCM of 157, 724, 969, 779, 984
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 157, 724, 969, 779, 984 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 157, 724, 969, 779, 984. So, keep reading to learn more.
Given numbers are 157,724,969,779,984
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 157,724,969,779,984 is 9031831944.
Find LCM of 157,724,969,779,984 with Prime Factorization
| 2 | 157, 724, 969, 779, 984 |
| 2 | 157, 362, 969, 779, 492 |
| 3 | 157, 181, 969, 779, 246 |
| 19 | 157, 181, 323, 779, 82 |
| 41 | 157, 181, 17, 41, 82 |
| 157, 181, 17, 1, 2 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 19 x 41 x 157 x 181 x 17 x 1 x 2 = 9031831944
Therefore, the lowest common multiple of 157,724,969,779,984 is 9031831944.
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.
157 x 724 x 969 x 779 x 984 = 84429565012512
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.
157 : 1, 157
724 : 1, 2, 4, 181, 362, 724
969 : 1, 3, 17, 19, 51, 57, 323, 969
779 : 1, 19, 41, 779
984 : 1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 157,724,969,779,984, is 1.
Now, the common factors can be found like this.
157:157
724:2x 2x 181
969:3x 17x 19
779:19x 41
984:2x 2x 2x 3x 41
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 19x 41 = 9348
Therefore, the value for common factors is 9348.
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 = 84429565012512/(1x9348)
LCM = 84429565012512/9348
LCM = 9031831944
Thus, we can understand that the LCM of 157,724,969,779,984 is 9031831944.
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FAQs on LCM of 157, 724, 969, 779, 984
1. What is the LCM of 157, 724, 969, 779, 984?
Answer: LCM of 157, 724, 969, 779, 984 is 9031831944.
2. How to calculate the LCM of 157, 724, 969, 779, 984?
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 157, 724, 969, 779, 984.
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}.