LCM of 338, 916, 372, 610, 550
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 338, 916, 372, 610, 550 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 338, 916, 372, 610, 550. So, keep reading to learn more.
Given numbers are 338,916,372,610,550
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 338,916,372,610,550 is 241505850300.
Find LCM of 338,916,372,610,550 with Prime Factorization
| 2 | 338, 916, 372, 610, 550 |
| 2 | 169, 458, 186, 305, 275 |
| 5 | 169, 229, 93, 305, 275 |
| 169, 229, 93, 61, 55 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 169 x 229 x 93 x 61 x 55 = 241505850300
Therefore, the lowest common multiple of 338,916,372,610,550 is 241505850300.
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.
338 x 916 x 372 x 610 x 550 = 38640936048000
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.
338 : 1, 2, 13, 26, 169, 338
916 : 1, 2, 4, 229, 458, 916
372 : 1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 186, 372
610 : 1, 2, 5, 10, 61, 122, 305, 610
550 : 1, 2, 5, 10, 11, 22, 25, 50, 55, 110, 275, 550
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 338,916,372,610,550, is 2.
Now, the common factors can be found like this.
338:2x 13x 13
916:2x 2x 229
372:2x 2x 3x 31
610:2x 5x 61
550:2x 5x 5x 11
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 2x 2x 5 = 80
Therefore, the value for common factors is 80.
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 = 38640936048000/(2x80)
LCM = 38640936048000/160
LCM = 241505850300
Thus, we can understand that the LCM of 338,916,372,610,550 is 241505850300.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 338, 916, 372, 610, 550
1. What is the LCM of 338, 916, 372, 610, 550?
Answer: LCM of 338, 916, 372, 610, 550 is 241505850300.
2. How to calculate the LCM of 338, 916, 372, 610, 550?
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 338, 916, 372, 610, 550.
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}.