LCM of 578, 708, 649, 188, 413
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 578, 708, 649, 188, 413 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 578, 708, 649, 188, 413. So, keep reading to learn more.
Given numbers are 578,708,649,188,413
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 578,708,649,188,413 is 740490828.
Find LCM of 578,708,649,188,413 with Prime Factorization
| 2 | 578, 708, 649, 188, 413 |
| 2 | 289, 354, 649, 94, 413 |
| 59 | 289, 177, 649, 47, 413 |
| 289, 3, 11, 47, 7 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 59 x 289 x 3 x 11 x 47 x 7 = 740490828
Therefore, the lowest common multiple of 578,708,649,188,413 is 740490828.
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.
578 x 708 x 649 x 188 x 413 = 20621188578144
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.
578 : 1, 2, 17, 34, 289, 578
708 : 1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708
649 : 1, 11, 59, 649
188 : 1, 2, 4, 47, 94, 188
413 : 1, 7, 59, 413
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 578,708,649,188,413, is 1.
Now, the common factors can be found like this.
578:2x 17x 17
708:2x 2x 3x 59
649:11x 59
188:2x 2x 47
413:7x 59
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 59x 59 = 27848
Therefore, the value for common factors is 27848.
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 = 20621188578144/(1x27848)
LCM = 20621188578144/27848
LCM = 740490828
Thus, we can understand that the LCM of 578,708,649,188,413 is 740490828.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 578, 708, 649, 188, 413
1. What is the LCM of 578, 708, 649, 188, 413?
Answer: LCM of 578, 708, 649, 188, 413 is 740490828.
2. How to calculate the LCM of 578, 708, 649, 188, 413?
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 578, 708, 649, 188, 413.
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}.