LCM of 267, 187, 377, 338, 748
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 267, 187, 377, 338, 748 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 267, 187, 377, 338, 748. So, keep reading to learn more.
Given numbers are 267,187,377,338,748
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 267,187,377,338,748 is 978808116.
Find LCM of 267,187,377,338,748 with Prime Factorization
| 2 | 267, 187, 377, 338, 748 |
| 11 | 267, 187, 377, 169, 374 |
| 13 | 267, 17, 377, 169, 34 |
| 17 | 267, 17, 29, 13, 34 |
| 267, 1, 29, 13, 2 |
Multiply the prime numbers at the bottom and the left side.
2 x 11 x 13 x 17 x 267 x 1 x 29 x 13 x 2 = 978808116
Therefore, the lowest common multiple of 267,187,377,338,748 is 978808116.
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.
267 x 187 x 377 x 338 x 748 = 4758965059992
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.
267 : 1, 3, 89, 267
187 : 1, 11, 17, 187
377 : 1, 13, 29, 377
338 : 1, 2, 13, 26, 169, 338
748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 267,187,377,338,748, is 1.
Now, the common factors can be found like this.
267:3x 89
187:11x 17
377:13x 29
338:2x 13x 13
748:2x 2x 11x 17
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 11x 13x 17 = 4862
Therefore, the value for common factors is 4862.
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 = 4758965059992/(1x4862)
LCM = 4758965059992/4862
LCM = 978808116
Thus, we can understand that the LCM of 267,187,377,338,748 is 978808116.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 267, 187, 377, 338, 748
1. What is the LCM of 267, 187, 377, 338, 748?
Answer: LCM of 267, 187, 377, 338, 748 is 978808116.
2. How to calculate the LCM of 267, 187, 377, 338, 748?
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 267, 187, 377, 338, 748.
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}.