LCM of 737, 618, 206, 262
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 737, 618, 206, 262 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 737, 618, 206, 262. So, keep reading to learn more.
Given numbers are 737,618,206,262
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 737,618,206,262 is 59666046.
Find LCM of 737,618,206,262 with Prime Factorization
| 2 | 737, 618, 206, 262 |
| 103 | 737, 309, 103, 131 |
| 737, 3, 1, 131 |
Multiply the prime numbers at the bottom and the left side.
2 x 103 x 737 x 3 x 1 x 131 = 59666046
Therefore, the lowest common multiple of 737,618,206,262 is 59666046.
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.
737 x 618 x 206 x 262 = 24582410952
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.
737 : 1, 11, 67, 737
618 : 1, 2, 3, 6, 103, 206, 309, 618
206 : 1, 2, 103, 206
262 : 1, 2, 131, 262
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 737,618,206,262, is 1.
Now, the common factors can be found like this.
737:11x 67
618:2x 3x 103
206:2x 103
262:2x 131
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 103 = 412
Therefore, the value for common factors is 412.
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 = 24582410952/(1x412)
LCM = 24582410952/412
LCM = 59666046
Thus, we can understand that the LCM of 737,618,206,262 is 59666046.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 737, 618, 206, 262
1. What is the LCM of 737, 618, 206, 262?
Answer: LCM of 737, 618, 206, 262 is 59666046.
2. How to calculate the LCM of 737, 618, 206, 262?
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 737, 618, 206, 262.
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}.