LCM of 738, 847, 390, 649, 568
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 738, 847, 390, 649, 568 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 738, 847, 390, 649, 568. So, keep reading to learn more.
Given numbers are 738,847,390,649,568
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 738,847,390,649,568 is 680806166040.
Find LCM of 738,847,390,649,568 with Prime Factorization
| 2 | 738, 847, 390, 649, 568 |
| 3 | 369, 847, 195, 649, 284 |
| 11 | 123, 847, 65, 649, 284 |
| 123, 77, 65, 59, 284 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 11 x 123 x 77 x 65 x 59 x 284 = 680806166040
Therefore, the lowest common multiple of 738,847,390,649,568 is 680806166040.
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.
738 x 847 x 390 x 649 x 568 = 89866413917280
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.
738 : 1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738
847 : 1, 7, 11, 77, 121, 847
390 : 1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390
649 : 1, 11, 59, 649
568 : 1, 2, 4, 8, 71, 142, 284, 568
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 738,847,390,649,568, is 1.
Now, the common factors can be found like this.
738:2x 3x 3x 41
847:7x 11x 11
390:2x 3x 5x 13
649:11x 59
568:2x 2x 2x 71
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 11 = 132
Therefore, the value for common factors is 132.
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 = 89866413917280/(1x132)
LCM = 89866413917280/132
LCM = 680806166040
Thus, we can understand that the LCM of 738,847,390,649,568 is 680806166040.
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FAQs on LCM of 738, 847, 390, 649, 568
1. What is the LCM of 738, 847, 390, 649, 568?
Answer: LCM of 738, 847, 390, 649, 568 is 680806166040.
2. How to calculate the LCM of 738, 847, 390, 649, 568?
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 738, 847, 390, 649, 568.
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}.