LCM of 369, 855, 456, 615, 313
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 369, 855, 456, 615, 313 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 369, 855, 456, 615, 313. So, keep reading to learn more.
Given numbers are 369,855,456,615,313
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 369,855,456,615,313 is 87777720.
Find LCM of 369,855,456,615,313 with Prime Factorization
| 3 | 369, 855, 456, 615, 313 |
| 3 | 123, 285, 152, 205, 313 |
| 5 | 41, 95, 152, 205, 313 |
| 19 | 41, 19, 152, 41, 313 |
| 41 | 41, 1, 8, 41, 313 |
| 1, 1, 8, 1, 313 |
Multiply the prime numbers at the bottom and the left side.
3 x 3 x 5 x 19 x 41 x 1 x 1 x 8 x 1 x 313 = 87777720
Therefore, the lowest common multiple of 369,855,456,615,313 is 87777720.
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.
369 x 855 x 456 x 615 x 313 = 27693431771400
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.
369 : 1, 3, 9, 41, 123, 369
855 : 1, 3, 5, 9, 15, 19, 45, 57, 95, 171, 285, 855
456 : 1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456
615 : 1, 3, 5, 15, 41, 123, 205, 615
313 : 1, 313
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 369,855,456,615,313, is 1.
Now, the common factors can be found like this.
369:3x 3x 41
855:3x 3x 5x 19
456:2x 2x 2x 3x 19
615:3x 5x 41
313:313
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 3x 3x 5x 19x 41 = 315495
Therefore, the value for common factors is 315495.
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 = 27693431771400/(1x315495)
LCM = 27693431771400/315495
LCM = 87777720
Thus, we can understand that the LCM of 369,855,456,615,313 is 87777720.
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FAQs on LCM of 369, 855, 456, 615, 313
1. What is the LCM of 369, 855, 456, 615, 313?
Answer: LCM of 369, 855, 456, 615, 313 is 87777720.
2. How to calculate the LCM of 369, 855, 456, 615, 313?
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 369, 855, 456, 615, 313.
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}.