LCM of 732, 276, 274, 748
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 732, 276, 274, 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 732, 276, 274, 748. So, keep reading to learn more.
Given numbers are 732,276,274,748
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 732,276,274,748 is 431321484.
Find LCM of 732,276,274,748 with Prime Factorization
| 2 | 732, 276, 274, 748 |
| 2 | 366, 138, 137, 374 |
| 3 | 183, 69, 137, 187 |
| 61, 23, 137, 187 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 61 x 23 x 137 x 187 = 431321484
Therefore, the lowest common multiple of 732,276,274,748 is 431321484.
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.
732 x 276 x 274 x 748 = 41406862464
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.
732 : 1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366, 732
276 : 1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 276
274 : 1, 2, 137, 274
748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 732,276,274,748, is 2.
Now, the common factors can be found like this.
732:2x 2x 3x 61
276:2x 2x 3x 23
274:2x 137
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 2x 3 = 48
Therefore, the value for common factors is 48.
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 = 41406862464/(2x48)
LCM = 41406862464/96
LCM = 431321484
Thus, we can understand that the LCM of 732,276,274,748 is 431321484.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 732, 276, 274, 748
1. What is the LCM of 732, 276, 274, 748?
Answer: LCM of 732, 276, 274, 748 is 431321484.
2. How to calculate the LCM of 732, 276, 274, 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 732, 276, 274, 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}.