LCM of 747, 221, 459, 942
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 747, 221, 459, 942 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 747, 221, 459, 942. So, keep reading to learn more.
Given numbers are 747,221,459,942
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 747,221,459,942 is 155511954.
Find LCM of 747,221,459,942 with Prime Factorization
| 3 | 747, 221, 459, 942 |
| 3 | 249, 221, 153, 314 |
| 17 | 83, 221, 51, 314 |
| 83, 13, 3, 314 |
Multiply the prime numbers at the bottom and the left side.
3 x 3 x 17 x 83 x 13 x 3 x 314 = 155511954
Therefore, the lowest common multiple of 747,221,459,942 is 155511954.
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.
747 x 221 x 459 x 942 = 71379986886
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.
747 : 1, 3, 9, 83, 249, 747
221 : 1, 13, 17, 221
459 : 1, 3, 9, 17, 27, 51, 153, 459
942 : 1, 2, 3, 6, 157, 314, 471, 942
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 747,221,459,942, is 1.
Now, the common factors can be found like this.
747:3x 3x 83
221:13x 17
459:3x 3x 3x 17
942:2x 3x 157
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 17 = 459
Therefore, the value for common factors is 459.
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 = 71379986886/(1x459)
LCM = 71379986886/459
LCM = 155511954
Thus, we can understand that the LCM of 747,221,459,942 is 155511954.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 747, 221, 459, 942
1. What is the LCM of 747, 221, 459, 942?
Answer: LCM of 747, 221, 459, 942 is 155511954.
2. How to calculate the LCM of 747, 221, 459, 942?
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 747, 221, 459, 942.
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}.