LCM of 487, 721, 753, 228, 763
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 487, 721, 753, 228, 763 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 487, 721, 753, 228, 763. So, keep reading to learn more.
Given numbers are 487,721,753,228,763
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 487,721,753,228,763 is 2190278259204.
Find LCM of 487,721,753,228,763 with Prime Factorization
| 3 | 487, 721, 753, 228, 763 |
| 7 | 487, 721, 251, 76, 763 |
| 487, 103, 251, 76, 109 |
Multiply the prime numbers at the bottom and the left side.
3 x 7 x 487 x 103 x 251 x 76 x 109 = 2190278259204
Therefore, the lowest common multiple of 487,721,753,228,763 is 2190278259204.
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.
487 x 721 x 753 x 228 x 763 = 45995843443284
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.
487 : 1, 487
721 : 1, 7, 103, 721
753 : 1, 3, 251, 753
228 : 1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228
763 : 1, 7, 109, 763
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 487,721,753,228,763, is 1.
Now, the common factors can be found like this.
487:487
721:7x 103
753:3x 251
228:2x 2x 3x 19
763:7x 109
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 7 = 21
Therefore, the value for common factors is 21.
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 = 45995843443284/(1x21)
LCM = 45995843443284/21
LCM = 2190278259204
Thus, we can understand that the LCM of 487,721,753,228,763 is 2190278259204.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 487, 721, 753, 228, 763
1. What is the LCM of 487, 721, 753, 228, 763?
Answer: LCM of 487, 721, 753, 228, 763 is 2190278259204.
2. How to calculate the LCM of 487, 721, 753, 228, 763?
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 487, 721, 753, 228, 763.
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}.