LCM of 978, 921, 307, 614, 551
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 978, 921, 307, 614, 551 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, 921, 307, 614, 551. So, keep reading to learn more.
Given numbers are 978,921,307,614,551
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 978,921,307,614,551 is 165435546.
Find LCM of 978,921,307,614,551 with Prime Factorization
| 2 | 978, 921, 307, 614, 551 |
| 3 | 489, 921, 307, 307, 551 |
| 307 | 163, 307, 307, 307, 551 |
| 163, 1, 1, 1, 551 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 307 x 163 x 1 x 1 x 1 x 551 = 165435546
Therefore, the lowest common multiple of 978,921,307,614,551 is 165435546.
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 921 x 307 x 614 x 551 = 93552808649724
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
921 : 1, 3, 307, 921
307 : 1, 307
614 : 1, 2, 307, 614
551 : 1, 19, 29, 551
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 978,921,307,614,551, is 1.
Now, the common factors can be found like this.
978:2x 3x 163
921:3x 307
307:307
614:2x 307
551:19x 29
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 307x 307 = 565494
Therefore, the value for common factors is 565494.
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 = 93552808649724/(1x565494)
LCM = 93552808649724/565494
LCM = 165435546
Thus, we can understand that the LCM of 978,921,307,614,551 is 165435546.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 978, 921, 307, 614, 551
1. What is the LCM of 978, 921, 307, 614, 551?
Answer: LCM of 978, 921, 307, 614, 551 is 165435546.
2. How to calculate the LCM of 978, 921, 307, 614, 551?
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, 921, 307, 614, 551.
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}.