LCM of 194, 677, 830, 820, 588
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 194, 677, 830, 820, 588 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 194, 677, 830, 820, 588. So, keep reading to learn more.
Given numbers are 194,677,830,820,588
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 194,677,830,820,588 is 657006524580.
Find LCM of 194,677,830,820,588 with Prime Factorization
| 2 | 194, 677, 830, 820, 588 |
| 2 | 97, 677, 415, 410, 294 |
| 5 | 97, 677, 415, 205, 147 |
| 97, 677, 83, 41, 147 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 97 x 677 x 83 x 41 x 147 = 657006524580
Therefore, the lowest common multiple of 194,677,830,820,588 is 657006524580.
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.
194 x 677 x 830 x 820 x 588 = 52560521966400
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.
194 : 1, 2, 97, 194
677 : 1, 677
830 : 1, 2, 5, 10, 83, 166, 415, 830
820 : 1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820
588 : 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 194,677,830,820,588, is 1.
Now, the common factors can be found like this.
194:2x 97
677:677
830:2x 5x 83
820:2x 2x 5x 41
588:2x 2x 3x 7x 7
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 = 52560521966400/(1x80)
LCM = 52560521966400/80
LCM = 657006524580
Thus, we can understand that the LCM of 194,677,830,820,588 is 657006524580.
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FAQs on LCM of 194, 677, 830, 820, 588
1. What is the LCM of 194, 677, 830, 820, 588?
Answer: LCM of 194, 677, 830, 820, 588 is 657006524580.
2. How to calculate the LCM of 194, 677, 830, 820, 588?
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 194, 677, 830, 820, 588.
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}.