LCM of 187, 222, 374, 249, 748
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 187, 222, 374, 249, 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, 222, 374, 249, 748. So, keep reading to learn more.
Given numbers are 187,222,374,249,748
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 187,222,374,249,748 is 6891324.
Find LCM of 187,222,374,249,748 with Prime Factorization
| 2 | 187, 222, 374, 249, 748 |
| 3 | 187, 111, 187, 249, 374 |
| 11 | 187, 37, 187, 83, 374 |
| 17 | 17, 37, 17, 83, 34 |
| 1, 37, 1, 83, 2 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 11 x 17 x 1 x 37 x 1 x 83 x 2 = 6891324
Therefore, the lowest common multiple of 187,222,374,249,748 is 6891324.
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 222 x 374 x 249 x 748 = 2891792507472
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
222 : 1, 2, 3, 6, 37, 74, 111, 222
374 : 1, 2, 11, 17, 22, 34, 187, 374
249 : 1, 3, 83, 249
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 187,222,374,249,748, is 1.
Now, the common factors can be found like this.
187:11x 17
222:2x 3x 37
374:2x 11x 17
249:3x 83
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 2x 3x 11x 11x 17x 17 = 419628
Therefore, the value for common factors is 419628.
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 = 2891792507472/(1x419628)
LCM = 2891792507472/419628
LCM = 6891324
Thus, we can understand that the LCM of 187,222,374,249,748 is 6891324.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 187, 222, 374, 249, 748
1. What is the LCM of 187, 222, 374, 249, 748?
Answer: LCM of 187, 222, 374, 249, 748 is 6891324.
2. How to calculate the LCM of 187, 222, 374, 249, 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, 222, 374, 249, 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}.