LCM of 745, 506, 149, 228
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 745, 506, 149, 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 745, 506, 149, 228. So, keep reading to learn more.
Given numbers are 745,506,149,228
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 745,506,149,228 is 42974580.
Find LCM of 745,506,149,228 with Prime Factorization
| 2 | 745, 506, 149, 228 |
| 149 | 745, 253, 149, 114 |
| 5, 253, 1, 114 |
Multiply the prime numbers at the bottom and the left side.
2 x 149 x 5 x 253 x 1 x 114 = 42974580
Therefore, the lowest common multiple of 745,506,149,228 is 42974580.
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.
745 x 506 x 149 x 228 = 12806424840
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.
745 : 1, 5, 149, 745
506 : 1, 2, 11, 22, 23, 46, 253, 506
149 : 1, 149
228 : 1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 745,506,149,228, is 1.
Now, the common factors can be found like this.
745:5x 149
506:2x 11x 23
149:149
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 149 = 298
Therefore, the value for common factors is 298.
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 = 12806424840/(1x298)
LCM = 12806424840/298
LCM = 42974580
Thus, we can understand that the LCM of 745,506,149,228 is 42974580.
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FAQs on LCM of 745, 506, 149, 228
1. What is the LCM of 745, 506, 149, 228?
Answer: LCM of 745, 506, 149, 228 is 42974580.
2. How to calculate the LCM of 745, 506, 149, 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 745, 506, 149, 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}.