LCM of 665, 152, 824, 983, 952
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 665, 152, 824, 983, 952 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 665, 152, 824, 983, 952. So, keep reading to learn more.
Given numbers are 665,152,824,983,952
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 665,152,824,983,952 is 9156959560.
Find LCM of 665,152,824,983,952 with Prime Factorization
| 2 | 665, 152, 824, 983, 952 |
| 2 | 665, 76, 412, 983, 476 |
| 2 | 665, 38, 206, 983, 238 |
| 7 | 665, 19, 103, 983, 119 |
| 19 | 95, 19, 103, 983, 17 |
| 5, 1, 103, 983, 17 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 7 x 19 x 5 x 1 x 103 x 983 x 17 = 9156959560
Therefore, the lowest common multiple of 665,152,824,983,952 is 9156959560.
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.
665 x 152 x 824 x 983 x 952 = 77944039774720
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.
665 : 1, 5, 7, 19, 35, 95, 133, 665
152 : 1, 2, 4, 8, 19, 38, 76, 152
824 : 1, 2, 4, 8, 103, 206, 412, 824
983 : 1, 983
952 : 1, 2, 4, 7, 8, 14, 17, 28, 34, 56, 68, 119, 136, 238, 476, 952
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 665,152,824,983,952, is 1.
Now, the common factors can be found like this.
665:5x 7x 19
152:2x 2x 2x 19
824:2x 2x 2x 103
983:983
952:2x 2x 2x 7x 17
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 2x 2x 7x 19 = 8512
Therefore, the value for common factors is 8512.
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 = 77944039774720/(1x8512)
LCM = 77944039774720/8512
LCM = 9156959560
Thus, we can understand that the LCM of 665,152,824,983,952 is 9156959560.
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FAQs on LCM of 665, 152, 824, 983, 952
1. What is the LCM of 665, 152, 824, 983, 952?
Answer: LCM of 665, 152, 824, 983, 952 is 9156959560.
2. How to calculate the LCM of 665, 152, 824, 983, 952?
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 665, 152, 824, 983, 952.
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}.