LCM of 749, 978, 978, 510
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 749, 978, 978, 510 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 749, 978, 978, 510. So, keep reading to learn more.
Given numbers are 749,978,978,510
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 749,978,978,510 is 62264370.
Find LCM of 749,978,978,510 with Prime Factorization
| 2 | 749, 978, 978, 510 |
| 3 | 749, 489, 489, 255 |
| 163 | 749, 163, 163, 85 |
| 749, 1, 1, 85 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 163 x 749 x 1 x 1 x 85 = 62264370
Therefore, the lowest common multiple of 749,978,978,510 is 62264370.
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.
749 x 978 x 978 x 510 = 365367323160
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.
749 : 1, 7, 107, 749
978 : 1, 2, 3, 6, 163, 326, 489, 978
978 : 1, 2, 3, 6, 163, 326, 489, 978
510 : 1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 170, 255, 510
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 749,978,978,510, is 1.
Now, the common factors can be found like this.
749:7x 107
978:2x 3x 163
978:2x 3x 163
510:2x 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 2x 3x 3x 163 = 5868
Therefore, the value for common factors is 5868.
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 = 365367323160/(1x5868)
LCM = 365367323160/5868
LCM = 62264370
Thus, we can understand that the LCM of 749,978,978,510 is 62264370.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 749, 978, 978, 510
1. What is the LCM of 749, 978, 978, 510?
Answer: LCM of 749, 978, 978, 510 is 62264370.
2. How to calculate the LCM of 749, 978, 978, 510?
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 749, 978, 978, 510.
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}.