LCM of 187, 690, 748
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 187, 690, 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 187, 690, 748. So, keep reading to learn more.
Given numbers are 187,690,748
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 187,690,748 is 258060.
Find LCM of 187,690,748 with Prime Factorization
| 2 | 187, 690, 748 |
| 11 | 187, 345, 374 |
| 17 | 17, 345, 34 |
| 1, 345, 2 |
Multiply the prime numbers at the bottom and the left side.
2 x 11 x 17 x 1 x 345 x 2 = 258060
Therefore, the lowest common multiple of 187,690,748 is 258060.
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.
187 x 690 x 748 = 96514440
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.
187 : 1, 11, 17, 187
690 : 1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690
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 187,690,748, is 1.
Now, the common factors can be found like this.
187:11x 17
690:2x 3x 5x 23
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 17 = 374
Therefore, the value for common factors is 374.
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 = 96514440/(1x374)
LCM = 96514440/374
LCM = 258060
Thus, we can understand that the LCM of 187,690,748 is 258060.
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FAQs on LCM of 187, 690, 748
1. What is the LCM of 187, 690, 748?
Answer: LCM of 187, 690, 748 is 258060.
2. How to calculate the LCM of 187, 690, 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 187, 690, 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}.