LCM of 577, 245, 236, 708
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 577, 245, 236, 708 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 577, 245, 236, 708. So, keep reading to learn more.
Given numbers are 577,245,236,708
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 577,245,236,708 is 100086420.
Find LCM of 577,245,236,708 with Prime Factorization
| 2 | 577, 245, 236, 708 |
| 2 | 577, 245, 118, 354 |
| 59 | 577, 245, 59, 177 |
| 577, 245, 1, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 59 x 577 x 245 x 1 x 3 = 100086420
Therefore, the lowest common multiple of 577,245,236,708 is 100086420.
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.
577 x 245 x 236 x 708 = 23620395120
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.
577 : 1, 577
245 : 1, 5, 7, 35, 49, 245
236 : 1, 2, 4, 59, 118, 236
708 : 1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 577,245,236,708, is 1.
Now, the common factors can be found like this.
577:577
245:5x 7x 7
236:2x 2x 59
708:2x 2x 3x 59
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 59 = 236
Therefore, the value for common factors is 236.
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 = 23620395120/(1x236)
LCM = 23620395120/236
LCM = 100086420
Thus, we can understand that the LCM of 577,245,236,708 is 100086420.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 577, 245, 236, 708
1. What is the LCM of 577, 245, 236, 708?
Answer: LCM of 577, 245, 236, 708 is 100086420.
2. How to calculate the LCM of 577, 245, 236, 708?
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 577, 245, 236, 708.
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}.