LCM of 722, 508, 578, 228
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 722, 508, 578, 228 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 722, 508, 578, 228. So, keep reading to learn more.
Given numbers are 722,508,578,228
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 722,508,578,228 is 158997396.
Find LCM of 722,508,578,228 with Prime Factorization
| 2 | 722, 508, 578, 228 |
| 2 | 361, 254, 289, 114 |
| 19 | 361, 127, 289, 57 |
| 19, 127, 289, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 19 x 19 x 127 x 289 x 3 = 158997396
Therefore, the lowest common multiple of 722,508,578,228 is 158997396.
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.
722 x 508 x 578 x 228 = 48335208384
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.
722 : 1, 2, 19, 38, 361, 722
508 : 1, 2, 4, 127, 254, 508
578 : 1, 2, 17, 34, 289, 578
228 : 1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 722,508,578,228, is 2.
Now, the common factors can be found like this.
722:2x 19x 19
508:2x 2x 127
578:2x 17x 17
228:2x 2x 3x 19
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 19 = 152
Therefore, the value for common factors is 152.
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 = 48335208384/(2x152)
LCM = 48335208384/304
LCM = 158997396
Thus, we can understand that the LCM of 722,508,578,228 is 158997396.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 722, 508, 578, 228
1. What is the LCM of 722, 508, 578, 228?
Answer: LCM of 722, 508, 578, 228 is 158997396.
2. How to calculate the LCM of 722, 508, 578, 228?
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 722, 508, 578, 228.
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}.