LCM of 615, 579, 222, 705, 752
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 615, 579, 222, 705, 752 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 615, 579, 222, 705, 752. So, keep reading to learn more.
Given numbers are 615,579,222,705,752
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 615,579,222,705,752 is 3302569680.
Find LCM of 615,579,222,705,752 with Prime Factorization
| 2 | 615, 579, 222, 705, 752 |
| 3 | 615, 579, 111, 705, 376 |
| 5 | 205, 193, 37, 235, 376 |
| 47 | 41, 193, 37, 47, 376 |
| 41, 193, 37, 1, 8 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 47 x 41 x 193 x 37 x 1 x 8 = 3302569680
Therefore, the lowest common multiple of 615,579,222,705,752 is 3302569680.
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.
615 x 579 x 222 x 705 x 752 = 41909609239200
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.
615 : 1, 3, 5, 15, 41, 123, 205, 615
579 : 1, 3, 193, 579
222 : 1, 2, 3, 6, 37, 74, 111, 222
705 : 1, 3, 5, 15, 47, 141, 235, 705
752 : 1, 2, 4, 8, 16, 47, 94, 188, 376, 752
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 615,579,222,705,752, is 1.
Now, the common factors can be found like this.
615:3x 5x 41
579:3x 193
222:2x 3x 37
705:3x 5x 47
752:2x 2x 2x 2x 47
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3x 3x 5x 47 = 12690
Therefore, the value for common factors is 12690.
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 = 41909609239200/(1x12690)
LCM = 41909609239200/12690
LCM = 3302569680
Thus, we can understand that the LCM of 615,579,222,705,752 is 3302569680.
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FAQs on LCM of 615, 579, 222, 705, 752
1. What is the LCM of 615, 579, 222, 705, 752?
Answer: LCM of 615, 579, 222, 705, 752 is 3302569680.
2. How to calculate the LCM of 615, 579, 222, 705, 752?
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 615, 579, 222, 705, 752.
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}.