LCM of 973, 147, 884, 646, 532
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 973, 147, 884, 646, 532 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 973, 147, 884, 646, 532. So, keep reading to learn more.
Given numbers are 973,147,884,646,532
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 973,147,884,646,532 is 343192668.
Find LCM of 973,147,884,646,532 with Prime Factorization
| 2 | 973, 147, 884, 646, 532 |
| 2 | 973, 147, 442, 323, 266 |
| 7 | 973, 147, 221, 323, 133 |
| 17 | 139, 21, 221, 323, 19 |
| 19 | 139, 21, 13, 19, 19 |
| 139, 21, 13, 1, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 7 x 17 x 19 x 139 x 21 x 13 x 1 x 1 = 343192668
Therefore, the lowest common multiple of 973,147,884,646,532 is 343192668.
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.
973 x 147 x 884 x 646 x 532 = 43453682851488
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.
973 : 1, 7, 139, 973
147 : 1, 3, 7, 21, 49, 147
884 : 1, 2, 4, 13, 17, 26, 34, 52, 68, 221, 442, 884
646 : 1, 2, 17, 19, 34, 38, 323, 646
532 : 1, 2, 4, 7, 14, 19, 28, 38, 76, 133, 266, 532
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 973,147,884,646,532, is 1.
Now, the common factors can be found like this.
973:7x 139
147:3x 7x 7
884:2x 2x 13x 17
646:2x 17x 19
532:2x 2x 7x 19
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 7x 7x 17x 19 = 126616
Therefore, the value for common factors is 126616.
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 = 43453682851488/(1x126616)
LCM = 43453682851488/126616
LCM = 343192668
Thus, we can understand that the LCM of 973,147,884,646,532 is 343192668.
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FAQs on LCM of 973, 147, 884, 646, 532
1. What is the LCM of 973, 147, 884, 646, 532?
Answer: LCM of 973, 147, 884, 646, 532 is 343192668.
2. How to calculate the LCM of 973, 147, 884, 646, 532?
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 973, 147, 884, 646, 532.
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}.