LCM of 180, 249, 630, 349
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 180, 249, 630, 349 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 180, 249, 630, 349. So, keep reading to learn more.
Given numbers are 180,249,630,349
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 180,249,630,349 is 36498420.
Find LCM of 180,249,630,349 with Prime Factorization
| 2 | 180, 249, 630, 349 |
| 3 | 90, 249, 315, 349 |
| 3 | 30, 83, 105, 349 |
| 5 | 10, 83, 35, 349 |
| 2, 83, 7, 349 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 5 x 2 x 83 x 7 x 349 = 36498420
Therefore, the lowest common multiple of 180,249,630,349 is 36498420.
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.
180 x 249 x 630 x 349 = 9854573400
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.
180 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180
249 : 1, 3, 83, 249
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
349 : 1, 349
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 180,249,630,349, is 1.
Now, the common factors can be found like this.
180:2x 2x 3x 3x 5
249:3x 83
630:2x 3x 3x 5x 7
349:349
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 3x 5 = 270
Therefore, the value for common factors is 270.
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 = 9854573400/(1x270)
LCM = 9854573400/270
LCM = 36498420
Thus, we can understand that the LCM of 180,249,630,349 is 36498420.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 180, 249, 630, 349
1. What is the LCM of 180, 249, 630, 349?
Answer: LCM of 180, 249, 630, 349 is 36498420.
2. How to calculate the LCM of 180, 249, 630, 349?
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 180, 249, 630, 349.
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}.