LCM of 638, 176, 220, 360, 752
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 638, 176, 220, 360, 752 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 638, 176, 220, 360, 752. So, keep reading to learn more.
Given numbers are 638,176,220,360,752
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 638,176,220,360,752 is 10794960.
Find LCM of 638,176,220,360,752 with Prime Factorization
| 2 | 638, 176, 220, 360, 752 |
| 2 | 319, 88, 110, 180, 376 |
| 2 | 319, 44, 55, 90, 188 |
| 2 | 319, 22, 55, 45, 94 |
| 5 | 319, 11, 55, 45, 47 |
| 11 | 319, 11, 11, 9, 47 |
| 29, 1, 1, 9, 47 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 5 x 11 x 29 x 1 x 1 x 9 x 47 = 10794960
Therefore, the lowest common multiple of 638,176,220,360,752 is 10794960.
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.
638 x 176 x 220 x 360 x 752 = 6687693619200
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.
638 : 1, 2, 11, 22, 29, 58, 319, 638
176 : 1, 2, 4, 8, 11, 16, 22, 44, 88, 176
220 : 1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220
360 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360
752 : 1, 2, 4, 8, 16, 47, 94, 188, 376, 752
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 638,176,220,360,752, is 2.
Now, the common factors can be found like this.
638:2x 11x 29
176:2x 2x 2x 2x 11
220:2x 2x 5x 11
360:2x 2x 2x 3x 3x 5
752:2x 2x 2x 2x 47
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 2x 5x 11x 11 = 309760
Therefore, the value for common factors is 309760.
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 = 6687693619200/(2x309760)
LCM = 6687693619200/619520
LCM = 10794960
Thus, we can understand that the LCM of 638,176,220,360,752 is 10794960.
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FAQs on LCM of 638, 176, 220, 360, 752
1. What is the LCM of 638, 176, 220, 360, 752?
Answer: LCM of 638, 176, 220, 360, 752 is 10794960.
2. How to calculate the LCM of 638, 176, 220, 360, 752?
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 638, 176, 220, 360, 752.
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}.