LCM of 302, 538, 549, 835
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 302, 538, 549, 835 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 302, 538, 549, 835. So, keep reading to learn more.
Given numbers are 302,538,549,835
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 302,538,549,835 is 37240717770.
Find LCM of 302,538,549,835 with Prime Factorization
| 2 | 302, 538, 549, 835 |
| 151, 269, 549, 835 |
Multiply the prime numbers at the bottom and the left side.
2 x 151 x 269 x 549 x 835 = 37240717770
Therefore, the lowest common multiple of 302,538,549,835 is 37240717770.
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.
302 x 538 x 549 x 835 = 74481435540
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.
302 : 1, 2, 151, 302
538 : 1, 2, 269, 538
549 : 1, 3, 9, 61, 183, 549
835 : 1, 5, 167, 835
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 302,538,549,835, is 1.
Now, the common factors can be found like this.
302:2x 151
538:2x 269
549:3x 3x 61
835:5x 167
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2 = 2
Therefore, the value for common factors is 2.
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 = 74481435540/(1x2)
LCM = 74481435540/2
LCM = 37240717770
Thus, we can understand that the LCM of 302,538,549,835 is 37240717770.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 302, 538, 549, 835
1. What is the LCM of 302, 538, 549, 835?
Answer: LCM of 302, 538, 549, 835 is 37240717770.
2. How to calculate the LCM of 302, 538, 549, 835?
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 302, 538, 549, 835.
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}.