LCM of 549, 253, 759, 671
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 549, 253, 759, 671 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 549, 253, 759, 671. So, keep reading to learn more.
Given numbers are 549,253,759,671
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 549,253,759,671 is 138897.
Find LCM of 549,253,759,671 with Prime Factorization
| 3 | 549, 253, 759, 671 |
| 11 | 183, 253, 253, 671 |
| 23 | 183, 23, 23, 61 |
| 61 | 183, 1, 1, 61 |
| 3, 1, 1, 1 |
Multiply the prime numbers at the bottom and the left side.
3 x 11 x 23 x 61 x 3 x 1 x 1 x 1 = 138897
Therefore, the lowest common multiple of 549,253,759,671 is 138897.
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.
549 x 253 x 759 x 671 = 70738714233
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.
549 : 1, 3, 9, 61, 183, 549
253 : 1, 11, 23, 253
759 : 1, 3, 11, 23, 33, 69, 253, 759
671 : 1, 11, 61, 671
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 549,253,759,671, is 1.
Now, the common factors can be found like this.
549:3x 3x 61
253:11x 23
759:3x 11x 23
671:11x 61
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 11x 11x 23x 61 = 509289
Therefore, the value for common factors is 509289.
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 = 70738714233/(1x509289)
LCM = 70738714233/509289
LCM = 138897
Thus, we can understand that the LCM of 549,253,759,671 is 138897.
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FAQs on LCM of 549, 253, 759, 671
1. What is the LCM of 549, 253, 759, 671?
Answer: LCM of 549, 253, 759, 671 is 138897.
2. How to calculate the LCM of 549, 253, 759, 671?
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 549, 253, 759, 671.
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}.