LCM of 335, 143, 767, 469, 262
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 335, 143, 767, 469, 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 335, 143, 767, 469, 262. So, keep reading to learn more.
Given numbers are 335,143,767,469,262
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 335,143,767,469,262 is 5183608430.
Find LCM of 335,143,767,469,262 with Prime Factorization
| 13 | 335, 143, 767, 469, 262 |
| 67 | 335, 11, 59, 469, 262 |
| 5, 11, 59, 7, 262 |
Multiply the prime numbers at the bottom and the left side.
13 x 67 x 5 x 11 x 59 x 7 x 262 = 5183608430
Therefore, the lowest common multiple of 335,143,767,469,262 is 5183608430.
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.
335 x 143 x 767 x 469 x 262 = 4514922942530
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.
335 : 1, 5, 67, 335
143 : 1, 11, 13, 143
767 : 1, 13, 59, 767
469 : 1, 7, 67, 469
262 : 1, 2, 131, 262
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 335,143,767,469,262, is 1.
Now, the common factors can be found like this.
335:5x 67
143:11x 13
767:13x 59
469:7x 67
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.
13x 67 = 871
Therefore, the value for common factors is 871.
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 = 4514922942530/(1x871)
LCM = 4514922942530/871
LCM = 5183608430
Thus, we can understand that the LCM of 335,143,767,469,262 is 5183608430.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 335, 143, 767, 469, 262
1. What is the LCM of 335, 143, 767, 469, 262?
Answer: LCM of 335, 143, 767, 469, 262 is 5183608430.
2. How to calculate the LCM of 335, 143, 767, 469, 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 335, 143, 767, 469, 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}.