LCM of 978, 208, 741, 295, 762
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 978, 208, 741, 295, 762 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 978, 208, 741, 295, 762. So, keep reading to learn more.
Given numbers are 978,208,741,295,762
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 978,208,741,295,762 is 72402161520.
Find LCM of 978,208,741,295,762 with Prime Factorization
| 2 | 978, 208, 741, 295, 762 |
| 3 | 489, 104, 741, 295, 381 |
| 13 | 163, 104, 247, 295, 127 |
| 163, 8, 19, 295, 127 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 13 x 163 x 8 x 19 x 295 x 127 = 72402161520
Therefore, the lowest common multiple of 978,208,741,295,762 is 72402161520.
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.
978 x 208 x 741 x 295 x 762 = 33884211591360
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.
978 : 1, 2, 3, 6, 163, 326, 489, 978
208 : 1, 2, 4, 8, 13, 16, 26, 52, 104, 208
741 : 1, 3, 13, 19, 39, 57, 247, 741
295 : 1, 5, 59, 295
762 : 1, 2, 3, 6, 127, 254, 381, 762
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 978,208,741,295,762, is 1.
Now, the common factors can be found like this.
978:2x 3x 163
208:2x 2x 2x 2x 13
741:3x 13x 19
295:5x 59
762:2x 3x 127
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 3x 13 = 468
Therefore, the value for common factors is 468.
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 = 33884211591360/(1x468)
LCM = 33884211591360/468
LCM = 72402161520
Thus, we can understand that the LCM of 978,208,741,295,762 is 72402161520.
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FAQs on LCM of 978, 208, 741, 295, 762
1. What is the LCM of 978, 208, 741, 295, 762?
Answer: LCM of 978, 208, 741, 295, 762 is 72402161520.
2. How to calculate the LCM of 978, 208, 741, 295, 762?
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 978, 208, 741, 295, 762.
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}.