LCM of 368, 540, 270, 753
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 368, 540, 270, 753 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 368, 540, 270, 753. So, keep reading to learn more.
Given numbers are 368,540,270,753
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 368,540,270,753 is 12469680.
Find LCM of 368,540,270,753 with Prime Factorization
| 2 | 368, 540, 270, 753 |
| 2 | 184, 270, 135, 753 |
| 3 | 92, 135, 135, 753 |
| 3 | 92, 45, 45, 251 |
| 3 | 92, 15, 15, 251 |
| 5 | 92, 5, 5, 251 |
| 92, 1, 1, 251 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 3 x 5 x 92 x 1 x 1 x 251 = 12469680
Therefore, the lowest common multiple of 368,540,270,753 is 12469680.
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.
368 x 540 x 270 x 753 = 40401763200
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.
368 : 1, 2, 4, 8, 16, 23, 46, 92, 184, 368
540 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540
270 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270
753 : 1, 3, 251, 753
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 368,540,270,753, is 1.
Now, the common factors can be found like this.
368:2x 2x 2x 2x 23
540:2x 2x 3x 3x 3x 5
270:2x 3x 3x 3x 5
753:3x 251
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 3x 3x 3x 5 = 3240
Therefore, the value for common factors is 3240.
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 = 40401763200/(1x3240)
LCM = 40401763200/3240
LCM = 12469680
Thus, we can understand that the LCM of 368,540,270,753 is 12469680.
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FAQs on LCM of 368, 540, 270, 753
1. What is the LCM of 368, 540, 270, 753?
Answer: LCM of 368, 540, 270, 753 is 12469680.
2. How to calculate the LCM of 368, 540, 270, 753?
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 368, 540, 270, 753.
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}.