LCM of 739, 588, 978, 245, 378
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 739, 588, 978, 245, 378 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 739, 588, 978, 245, 378. So, keep reading to learn more.
Given numbers are 739,588,978,245,378
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 739,588,978,245,378 is 3187292220.
Find LCM of 739,588,978,245,378 with Prime Factorization
| 2 | 739, 588, 978, 245, 378 |
| 3 | 739, 294, 489, 245, 189 |
| 7 | 739, 98, 163, 245, 63 |
| 7 | 739, 14, 163, 35, 9 |
| 739, 2, 163, 5, 9 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 7 x 7 x 739 x 2 x 163 x 5 x 9 = 3187292220
Therefore, the lowest common multiple of 739,588,978,245,378 is 3187292220.
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.
739 x 588 x 978 x 245 x 378 = 39356684332560
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.
739 : 1, 739
588 : 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588
978 : 1, 2, 3, 6, 163, 326, 489, 978
245 : 1, 5, 7, 35, 49, 245
378 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 739,588,978,245,378, is 1.
Now, the common factors can be found like this.
739:739
588:2x 2x 3x 7x 7
978:2x 3x 163
245:5x 7x 7
378:2x 3x 3x 3x 7
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 7x 7x 7 = 12348
Therefore, the value for common factors is 12348.
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 = 39356684332560/(1x12348)
LCM = 39356684332560/12348
LCM = 3187292220
Thus, we can understand that the LCM of 739,588,978,245,378 is 3187292220.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 739, 588, 978, 245, 378
1. What is the LCM of 739, 588, 978, 245, 378?
Answer: LCM of 739, 588, 978, 245, 378 is 3187292220.
2. How to calculate the LCM of 739, 588, 978, 245, 378?
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 739, 588, 978, 245, 378.
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}.