LCM of 973, 312, 533, 410, 863
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 973, 312, 533, 410, 863 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, 312, 533, 410, 863. So, keep reading to learn more.
Given numbers are 973,312,533,410,863
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 973,312,533,410,863 is 53707148040.
Find LCM of 973,312,533,410,863 with Prime Factorization
| 2 | 973, 312, 533, 410, 863 |
| 13 | 973, 156, 533, 205, 863 |
| 41 | 973, 12, 41, 205, 863 |
| 973, 12, 1, 5, 863 |
Multiply the prime numbers at the bottom and the left side.
2 x 13 x 41 x 973 x 12 x 1 x 5 x 863 = 53707148040
Therefore, the lowest common multiple of 973,312,533,410,863 is 53707148040.
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 312 x 533 x 410 x 863 = 57251819810640
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
312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312
533 : 1, 13, 41, 533
410 : 1, 2, 5, 10, 41, 82, 205, 410
863 : 1, 863
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 973,312,533,410,863, is 1.
Now, the common factors can be found like this.
973:7x 139
312:2x 2x 2x 3x 13
533:13x 41
410:2x 5x 41
863:863
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 13x 41 = 1066
Therefore, the value for common factors is 1066.
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 = 57251819810640/(1x1066)
LCM = 57251819810640/1066
LCM = 53707148040
Thus, we can understand that the LCM of 973,312,533,410,863 is 53707148040.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 973, 312, 533, 410, 863
1. What is the LCM of 973, 312, 533, 410, 863?
Answer: LCM of 973, 312, 533, 410, 863 is 53707148040.
2. How to calculate the LCM of 973, 312, 533, 410, 863?
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, 312, 533, 410, 863.
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}.