LCM of 642, 978, 865, 765
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 642, 978, 865, 765 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 642, 978, 865, 765. So, keep reading to learn more.
Given numbers are 642,978,865,765
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 642,978,865,765 is 4616458290.
Find LCM of 642,978,865,765 with Prime Factorization
| 2 | 642, 978, 865, 765 |
| 3 | 321, 489, 865, 765 |
| 5 | 107, 163, 865, 255 |
| 107, 163, 173, 51 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 107 x 163 x 173 x 51 = 4616458290
Therefore, the lowest common multiple of 642,978,865,765 is 4616458290.
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.
642 x 978 x 865 x 765 = 415481246100
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.
642 : 1, 2, 3, 6, 107, 214, 321, 642
978 : 1, 2, 3, 6, 163, 326, 489, 978
865 : 1, 5, 173, 865
765 : 1, 3, 5, 9, 15, 17, 45, 51, 85, 153, 255, 765
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 642,978,865,765, is 1.
Now, the common factors can be found like this.
642:2x 3x 107
978:2x 3x 163
865:5x 173
765:3x 3x 5x 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 3x 3x 5 = 90
Therefore, the value for common factors is 90.
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 = 415481246100/(1x90)
LCM = 415481246100/90
LCM = 4616458290
Thus, we can understand that the LCM of 642,978,865,765 is 4616458290.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 642, 978, 865, 765
1. What is the LCM of 642, 978, 865, 765?
Answer: LCM of 642, 978, 865, 765 is 4616458290.
2. How to calculate the LCM of 642, 978, 865, 765?
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 642, 978, 865, 765.
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}.