LCM of 222, 753, 972, 840, 563
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 222, 753, 972, 840, 563 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 222, 753, 972, 840, 563. So, keep reading to learn more.
Given numbers are 222,753,972,840,563
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 222,753,972,840,563 is 355752651240.
Find LCM of 222,753,972,840,563 with Prime Factorization
| 2 | 222, 753, 972, 840, 563 |
| 2 | 111, 753, 486, 420, 563 |
| 3 | 111, 753, 243, 210, 563 |
| 37, 251, 81, 70, 563 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 37 x 251 x 81 x 70 x 563 = 355752651240
Therefore, the lowest common multiple of 222,753,972,840,563 is 355752651240.
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.
222 x 753 x 972 x 840 x 563 = 76842572667840
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.
222 : 1, 2, 3, 6, 37, 74, 111, 222
753 : 1, 3, 251, 753
972 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972
840 : 1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840
563 : 1, 563
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 222,753,972,840,563, is 1.
Now, the common factors can be found like this.
222:2x 3x 37
753:3x 251
972:2x 2x 3x 3x 3x 3x 3
840:2x 2x 2x 3x 5x 7
563:563
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 3 = 216
Therefore, the value for common factors is 216.
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 = 76842572667840/(1x216)
LCM = 76842572667840/216
LCM = 355752651240
Thus, we can understand that the LCM of 222,753,972,840,563 is 355752651240.
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FAQs on LCM of 222, 753, 972, 840, 563
1. What is the LCM of 222, 753, 972, 840, 563?
Answer: LCM of 222, 753, 972, 840, 563 is 355752651240.
2. How to calculate the LCM of 222, 753, 972, 840, 563?
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 222, 753, 972, 840, 563.
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}.