LCM of 752, 101, 188, 492, 208
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 752, 101, 188, 492, 208 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 752, 101, 188, 492, 208. So, keep reading to learn more.
Given numbers are 752,101,188,492,208
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 752,101,188,492,208 is 121447248.
Find LCM of 752,101,188,492,208 with Prime Factorization
| 2 | 752, 101, 188, 492, 208 |
| 2 | 376, 101, 94, 246, 104 |
| 2 | 188, 101, 47, 123, 52 |
| 2 | 94, 101, 47, 123, 26 |
| 47 | 47, 101, 47, 123, 13 |
| 1, 101, 1, 123, 13 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 47 x 1 x 101 x 1 x 123 x 13 = 121447248
Therefore, the lowest common multiple of 752,101,188,492,208 is 121447248.
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.
752 x 101 x 188 x 492 x 208 = 1461253287936
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.
752 : 1, 2, 4, 8, 16, 47, 94, 188, 376, 752
101 : 1, 101
188 : 1, 2, 4, 47, 94, 188
492 : 1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492
208 : 1, 2, 4, 8, 13, 16, 26, 52, 104, 208
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 752,101,188,492,208, is 1.
Now, the common factors can be found like this.
752:2x 2x 2x 2x 47
101:101
188:2x 2x 47
492:2x 2x 3x 41
208:2x 2x 2x 2x 13
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 2x 2x 2x 2x 47 = 12032
Therefore, the value for common factors is 12032.
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 = 1461253287936/(1x12032)
LCM = 1461253287936/12032
LCM = 121447248
Thus, we can understand that the LCM of 752,101,188,492,208 is 121447248.
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FAQs on LCM of 752, 101, 188, 492, 208
1. What is the LCM of 752, 101, 188, 492, 208?
Answer: LCM of 752, 101, 188, 492, 208 is 121447248.
2. How to calculate the LCM of 752, 101, 188, 492, 208?
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 752, 101, 188, 492, 208.
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}.