LCM of 598, 577, 714, 663
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 598, 577, 714, 663 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 598, 577, 714, 663. So, keep reading to learn more.
Given numbers are 598,577,714,663
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 598,577,714,663 is 123181422.
Find LCM of 598,577,714,663 with Prime Factorization
| 2 | 598, 577, 714, 663 |
| 3 | 299, 577, 357, 663 |
| 13 | 299, 577, 119, 221 |
| 17 | 23, 577, 119, 17 |
| 23, 577, 7, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 13 x 17 x 23 x 577 x 7 x 1 = 123181422
Therefore, the lowest common multiple of 598,577,714,663 is 123181422.
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.
598 x 577 x 714 x 663 = 163338565572
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.
598 : 1, 2, 13, 23, 26, 46, 299, 598
577 : 1, 577
714 : 1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714
663 : 1, 3, 13, 17, 39, 51, 221, 663
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 598,577,714,663, is 1.
Now, the common factors can be found like this.
598:2x 13x 23
577:577
714:2x 3x 7x 17
663:3x 13x 17
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 13x 17 = 1326
Therefore, the value for common factors is 1326.
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 = 163338565572/(1x1326)
LCM = 163338565572/1326
LCM = 123181422
Thus, we can understand that the LCM of 598,577,714,663 is 123181422.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 598, 577, 714, 663
1. What is the LCM of 598, 577, 714, 663?
Answer: LCM of 598, 577, 714, 663 is 123181422.
2. How to calculate the LCM of 598, 577, 714, 663?
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 598, 577, 714, 663.
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}.