LCM of 137, 685, 978, 549, 109
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 137, 685, 978, 549, 109 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 137, 685, 978, 549, 109. So, keep reading to learn more.
Given numbers are 137,685,978,549,109
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 137,685,978,549,109 is 13363093710.
Find LCM of 137,685,978,549,109 with Prime Factorization
| 3 | 137, 685, 978, 549, 109 |
| 137 | 137, 685, 326, 183, 109 |
| 1, 5, 326, 183, 109 |
Multiply the prime numbers at the bottom and the left side.
3 x 137 x 1 x 5 x 326 x 183 x 109 = 13363093710
Therefore, the lowest common multiple of 137,685,978,549,109 is 13363093710.
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.
137 x 685 x 978 x 549 x 109 = 5492231514810
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.
137 : 1, 137
685 : 1, 5, 137, 685
978 : 1, 2, 3, 6, 163, 326, 489, 978
549 : 1, 3, 9, 61, 183, 549
109 : 1, 109
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 137,685,978,549,109, is 1.
Now, the common factors can be found like this.
137:137
685:5x 137
978:2x 3x 163
549:3x 3x 61
109:109
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 137 = 411
Therefore, the value for common factors is 411.
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 = 5492231514810/(1x411)
LCM = 5492231514810/411
LCM = 13363093710
Thus, we can understand that the LCM of 137,685,978,549,109 is 13363093710.
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FAQs on LCM of 137, 685, 978, 549, 109
1. What is the LCM of 137, 685, 978, 549, 109?
Answer: LCM of 137, 685, 978, 549, 109 is 13363093710.
2. How to calculate the LCM of 137, 685, 978, 549, 109?
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 137, 685, 978, 549, 109.
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}.