LCM of 90, 40, 33, 748
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 90, 40, 33, 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 90, 40, 33, 748. So, keep reading to learn more.
Given numbers are 90,40,33,748
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 90,40,33,748 is 67320.
Find LCM of 90,40,33,748 with Prime Factorization
| 2 | 90, 40, 33, 748 |
| 2 | 45, 20, 33, 374 |
| 3 | 45, 10, 33, 187 |
| 5 | 15, 10, 11, 187 |
| 11 | 3, 2, 11, 187 |
| 3, 2, 1, 17 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 11 x 3 x 2 x 1 x 17 = 67320
Therefore, the lowest common multiple of 90,40,33,748 is 67320.
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.
90 x 40 x 33 x 748 = 88862400
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.
90 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90
40 : 1, 2, 4, 5, 8, 10, 20, 40
33 : 1, 3, 11, 33
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 90,40,33,748, is 1.
Now, the common factors can be found like this.
90:2x 3x 3x 5
40:2x 2x 2x 5
33:3x 11
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 2x 3x 5x 11 = 1320
Therefore, the value for common factors is 1320.
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 = 88862400/(1x1320)
LCM = 88862400/1320
LCM = 67320
Thus, we can understand that the LCM of 90,40,33,748 is 67320.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 90, 40, 33, 748
1. What is the LCM of 90, 40, 33, 748?
Answer: LCM of 90, 40, 33, 748 is 67320.
2. How to calculate the LCM of 90, 40, 33, 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 90, 40, 33, 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}.