LCM of 370, 328, 533, 555, 540
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 370, 328, 533, 555, 540 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 370, 328, 533, 555, 540. So, keep reading to learn more.
Given numbers are 370,328,533,555,540
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 370,328,533,555,540 is 21298680.
Find LCM of 370,328,533,555,540 with Prime Factorization
| 2 | 370, 328, 533, 555, 540 |
| 2 | 185, 164, 533, 555, 270 |
| 3 | 185, 82, 533, 555, 135 |
| 5 | 185, 82, 533, 185, 45 |
| 37 | 37, 82, 533, 37, 9 |
| 41 | 1, 82, 533, 1, 9 |
| 1, 2, 13, 1, 9 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 37 x 41 x 1 x 2 x 13 x 1 x 9 = 21298680
Therefore, the lowest common multiple of 370,328,533,555,540 is 21298680.
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.
370 x 328 x 533 x 555 x 540 = 19386058536000
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.
370 : 1, 2, 5, 10, 37, 74, 185, 370
328 : 1, 2, 4, 8, 41, 82, 164, 328
533 : 1, 13, 41, 533
555 : 1, 3, 5, 15, 37, 111, 185, 555
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
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 370,328,533,555,540, is 1.
Now, the common factors can be found like this.
370:2x 5x 37
328:2x 2x 2x 41
533:13x 41
555:3x 5x 37
540:2x 2x 3x 3x 3x 5
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 5x 37x 41 = 910200
Therefore, the value for common factors is 910200.
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 = 19386058536000/(1x910200)
LCM = 19386058536000/910200
LCM = 21298680
Thus, we can understand that the LCM of 370,328,533,555,540 is 21298680.
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FAQs on LCM of 370, 328, 533, 555, 540
1. What is the LCM of 370, 328, 533, 555, 540?
Answer: LCM of 370, 328, 533, 555, 540 is 21298680.
2. How to calculate the LCM of 370, 328, 533, 555, 540?
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 370, 328, 533, 555, 540.
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}.