LCM of 182, 408, 724, 748
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 182, 408, 724, 748 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 182, 408, 724, 748. So, keep reading to learn more.
Given numbers are 182,408,724,748
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 182,408,724,748 is 73921848.
Find LCM of 182,408,724,748 with Prime Factorization
| 2 | 182, 408, 724, 748 |
| 2 | 91, 204, 362, 374 |
| 17 | 91, 102, 181, 187 |
| 91, 6, 181, 11 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 17 x 91 x 6 x 181 x 11 = 73921848
Therefore, the lowest common multiple of 182,408,724,748 is 73921848.
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.
182 x 408 x 724 x 748 = 40213485312
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.
182 : 1, 2, 7, 13, 14, 26, 91, 182
408 : 1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408
724 : 1, 2, 4, 181, 362, 724
748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 182,408,724,748, is 2.
Now, the common factors can be found like this.
182:2x 7x 13
408:2x 2x 2x 3x 17
724:2x 2x 181
748:2x 2x 11x 17
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 2x 17 = 272
Therefore, the value for common factors is 272.
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 = 40213485312/(2x272)
LCM = 40213485312/544
LCM = 73921848
Thus, we can understand that the LCM of 182,408,724,748 is 73921848.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 182, 408, 724, 748
1. What is the LCM of 182, 408, 724, 748?
Answer: LCM of 182, 408, 724, 748 is 73921848.
2. How to calculate the LCM of 182, 408, 724, 748?
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 182, 408, 724, 748.
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}.