LCM of 368, 214, 572, 838, 550
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 368, 214, 572, 838, 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 368, 214, 572, 838, 550. So, keep reading to learn more.
Given numbers are 368,214,572,838,550
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 368,214,572,838,550 is 58982294800.
Find LCM of 368,214,572,838,550 with Prime Factorization
| 2 | 368, 214, 572, 838, 550 |
| 2 | 184, 107, 286, 419, 275 |
| 11 | 92, 107, 143, 419, 275 |
| 92, 107, 13, 419, 25 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 11 x 92 x 107 x 13 x 419 x 25 = 58982294800
Therefore, the lowest common multiple of 368,214,572,838,550 is 58982294800.
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.
368 x 214 x 572 x 838 x 550 = 20761767769600
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.
368 : 1, 2, 4, 8, 16, 23, 46, 92, 184, 368
214 : 1, 2, 107, 214
572 : 1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572
838 : 1, 2, 419, 838
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 368,214,572,838,550, is 2.
Now, the common factors can be found like this.
368:2x 2x 2x 2x 23
214:2x 107
572:2x 2x 11x 13
838:2x 419
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 11 = 176
Therefore, the value for common factors is 176.
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 = 20761767769600/(2x176)
LCM = 20761767769600/352
LCM = 58982294800
Thus, we can understand that the LCM of 368,214,572,838,550 is 58982294800.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 368, 214, 572, 838, 550
1. What is the LCM of 368, 214, 572, 838, 550?
Answer: LCM of 368, 214, 572, 838, 550 is 58982294800.
2. How to calculate the LCM of 368, 214, 572, 838, 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 368, 214, 572, 838, 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}.