LCM of 565, 490, 554, 793, 588
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 565, 490, 554, 793, 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 565, 490, 554, 793, 588. So, keep reading to learn more.
Given numbers are 565,490,554,793,588
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 565,490,554,793,588 is 72975777420.
Find LCM of 565,490,554,793,588 with Prime Factorization
| 2 | 565, 490, 554, 793, 588 |
| 5 | 565, 245, 277, 793, 294 |
| 7 | 113, 49, 277, 793, 294 |
| 7 | 113, 7, 277, 793, 42 |
| 113, 1, 277, 793, 6 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 7 x 7 x 113 x 1 x 277 x 793 x 6 = 72975777420
Therefore, the lowest common multiple of 565,490,554,793,588 is 72975777420.
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.
565 x 490 x 554 x 793 x 588 = 71516261871600
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.
565 : 1, 5, 113, 565
490 : 1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 490
554 : 1, 2, 277, 554
793 : 1, 13, 61, 793
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 565,490,554,793,588, is 1.
Now, the common factors can be found like this.
565:5x 113
490:2x 5x 7x 7
554:2x 277
793:13x 61
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 5x 7x 7 = 980
Therefore, the value for common factors is 980.
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 = 71516261871600/(1x980)
LCM = 71516261871600/980
LCM = 72975777420
Thus, we can understand that the LCM of 565,490,554,793,588 is 72975777420.
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FAQs on LCM of 565, 490, 554, 793, 588
1. What is the LCM of 565, 490, 554, 793, 588?
Answer: LCM of 565, 490, 554, 793, 588 is 72975777420.
2. How to calculate the LCM of 565, 490, 554, 793, 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 565, 490, 554, 793, 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}.