LCM of 598, 441, 575, 630
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 598, 441, 575, 630 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, 441, 575, 630. So, keep reading to learn more.
Given numbers are 598,441,575,630
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 598,441,575,630 is 6592950.
Find LCM of 598,441,575,630 with Prime Factorization
| 2 | 598, 441, 575, 630 |
| 3 | 299, 441, 575, 315 |
| 3 | 299, 147, 575, 105 |
| 5 | 299, 49, 575, 35 |
| 7 | 299, 49, 115, 7 |
| 23 | 299, 1, 115, 7 |
| 13, 1, 5, 7 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 5 x 7 x 23 x 13 x 1 x 5 x 7 = 6592950
Therefore, the lowest common multiple of 598,441,575,630 is 6592950.
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 441 x 575 x 630 = 95531845500
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
441 : 1, 3, 7, 9, 21, 49, 63, 147, 441
575 : 1, 5, 23, 25, 115, 575
630 : 1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 30, 35, 42, 45, 63, 70, 90, 105, 126, 210, 315, 630
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 598,441,575,630, is 1.
Now, the common factors can be found like this.
598:2x 13x 23
441:3x 3x 7x 7
575:5x 5x 23
630:2x 3x 3x 5x 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 3x 3x 5x 7x 23 = 14490
Therefore, the value for common factors is 14490.
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 = 95531845500/(1x14490)
LCM = 95531845500/14490
LCM = 6592950
Thus, we can understand that the LCM of 598,441,575,630 is 6592950.
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FAQs on LCM of 598, 441, 575, 630
1. What is the LCM of 598, 441, 575, 630?
Answer: LCM of 598, 441, 575, 630 is 6592950.
2. How to calculate the LCM of 598, 441, 575, 630?
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, 441, 575, 630.
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}.