LCM of 238, 338, 473, 770, 277
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 238, 338, 473, 770, 277 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 238, 338, 473, 770, 277. So, keep reading to learn more.
Given numbers are 238,338,473,770,277
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 238,338,473,770,277 is 26349633310.
Find LCM of 238,338,473,770,277 with Prime Factorization
| 2 | 238, 338, 473, 770, 277 |
| 7 | 119, 169, 473, 385, 277 |
| 11 | 17, 169, 473, 55, 277 |
| 17, 169, 43, 5, 277 |
Multiply the prime numbers at the bottom and the left side.
2 x 7 x 11 x 17 x 169 x 43 x 5 x 277 = 26349633310
Therefore, the lowest common multiple of 238,338,473,770,277 is 26349633310.
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.
238 x 338 x 473 x 770 x 277 = 8115687059480
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.
238 : 1, 2, 7, 14, 17, 34, 119, 238
338 : 1, 2, 13, 26, 169, 338
473 : 1, 11, 43, 473
770 : 1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, 770
277 : 1, 277
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 238,338,473,770,277, is 1.
Now, the common factors can be found like this.
238:2x 7x 17
338:2x 13x 13
473:11x 43
770:2x 5x 7x 11
277:277
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 7x 11 = 308
Therefore, the value for common factors is 308.
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 = 8115687059480/(1x308)
LCM = 8115687059480/308
LCM = 26349633310
Thus, we can understand that the LCM of 238,338,473,770,277 is 26349633310.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 238, 338, 473, 770, 277
1. What is the LCM of 238, 338, 473, 770, 277?
Answer: LCM of 238, 338, 473, 770, 277 is 26349633310.
2. How to calculate the LCM of 238, 338, 473, 770, 277?
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 238, 338, 473, 770, 277.
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}.