LCM of 351, 748, 460, 132
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 351, 748, 460, 132 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 351, 748, 460, 132. So, keep reading to learn more.
Given numbers are 351,748,460,132
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 351,748,460,132 is 30193020.
Find LCM of 351,748,460,132 with Prime Factorization
| 2 | 351, 748, 460, 132 |
| 2 | 351, 374, 230, 66 |
| 3 | 351, 187, 115, 33 |
| 11 | 117, 187, 115, 11 |
| 117, 17, 115, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 11 x 117 x 17 x 115 x 1 = 30193020
Therefore, the lowest common multiple of 351,748,460,132 is 30193020.
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.
351 x 748 x 460 x 132 = 15941914560
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.
351 : 1, 3, 9, 13, 27, 39, 117, 351
748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
460 : 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460
132 : 1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 351,748,460,132, is 1.
Now, the common factors can be found like this.
351:3x 3x 3x 13
748:2x 2x 11x 17
460:2x 2x 5x 23
132:2x 2x 3x 11
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 3x 11 = 528
Therefore, the value for common factors is 528.
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 = 15941914560/(1x528)
LCM = 15941914560/528
LCM = 30193020
Thus, we can understand that the LCM of 351,748,460,132 is 30193020.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 351, 748, 460, 132
1. What is the LCM of 351, 748, 460, 132?
Answer: LCM of 351, 748, 460, 132 is 30193020.
2. How to calculate the LCM of 351, 748, 460, 132?
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 351, 748, 460, 132.
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}.