LCM of 644, 754, 110, 286, 535
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 644, 754, 110, 286, 535 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 644, 754, 110, 286, 535. So, keep reading to learn more.
Given numbers are 644,754,110,286,535
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 644,754,110,286,535 is 1428807380.
Find LCM of 644,754,110,286,535 with Prime Factorization
| 2 | 644, 754, 110, 286, 535 |
| 5 | 322, 377, 55, 143, 535 |
| 11 | 322, 377, 11, 143, 107 |
| 13 | 322, 377, 1, 13, 107 |
| 322, 29, 1, 1, 107 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 11 x 13 x 322 x 29 x 1 x 1 x 107 = 1428807380
Therefore, the lowest common multiple of 644,754,110,286,535 is 1428807380.
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.
644 x 754 x 110 x 286 x 535 = 8172778213600
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.
644 : 1, 2, 4, 7, 14, 23, 28, 46, 92, 161, 322, 644
754 : 1, 2, 13, 26, 29, 58, 377, 754
110 : 1, 2, 5, 10, 11, 22, 55, 110
286 : 1, 2, 11, 13, 22, 26, 143, 286
535 : 1, 5, 107, 535
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 644,754,110,286,535, is 1.
Now, the common factors can be found like this.
644:2x 2x 7x 23
754:2x 13x 29
110:2x 5x 11
286:2x 11x 13
535:5x 107
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 5x 11x 13 = 5720
Therefore, the value for common factors is 5720.
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 = 8172778213600/(1x5720)
LCM = 8172778213600/5720
LCM = 1428807380
Thus, we can understand that the LCM of 644,754,110,286,535 is 1428807380.
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FAQs on LCM of 644, 754, 110, 286, 535
1. What is the LCM of 644, 754, 110, 286, 535?
Answer: LCM of 644, 754, 110, 286, 535 is 1428807380.
2. How to calculate the LCM of 644, 754, 110, 286, 535?
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 644, 754, 110, 286, 535.
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}.