LCM of 541, 744, 638, 672, 628
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 541, 744, 638, 672, 628 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 541, 744, 638, 672, 628. So, keep reading to learn more.
Given numbers are 541,744,638,672,628
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 541,744,638,672,628 is 564441019296.
Find LCM of 541,744,638,672,628 with Prime Factorization
| 2 | 541, 744, 638, 672, 628 |
| 2 | 541, 372, 319, 336, 314 |
| 2 | 541, 186, 319, 168, 157 |
| 3 | 541, 93, 319, 84, 157 |
| 541, 31, 319, 28, 157 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 541 x 31 x 319 x 28 x 157 = 564441019296
Therefore, the lowest common multiple of 541,744,638,672,628 is 564441019296.
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.
541 x 744 x 638 x 672 x 628 = 108372675704832
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.
541 : 1, 541
744 : 1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744
638 : 1, 2, 11, 22, 29, 58, 319, 638
672 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 84, 96, 112, 168, 224, 336, 672
628 : 1, 2, 4, 157, 314, 628
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 541,744,638,672,628, is 1.
Now, the common factors can be found like this.
541:541
744:2x 2x 2x 3x 31
638:2x 11x 29
672:2x 2x 2x 2x 2x 3x 7
628:2x 2x 157
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 3 = 192
Therefore, the value for common factors is 192.
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 = 108372675704832/(1x192)
LCM = 108372675704832/192
LCM = 564441019296
Thus, we can understand that the LCM of 541,744,638,672,628 is 564441019296.
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FAQs on LCM of 541, 744, 638, 672, 628
1. What is the LCM of 541, 744, 638, 672, 628?
Answer: LCM of 541, 744, 638, 672, 628 is 564441019296.
2. How to calculate the LCM of 541, 744, 638, 672, 628?
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 541, 744, 638, 672, 628.
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}.