LCM of 279, 407, 384, 555, 628
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 279, 407, 384, 555, 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 279, 407, 384, 555, 628. So, keep reading to learn more.
Given numbers are 279,407,384,555,628
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 279,407,384,555,628 is 11409805440.
Find LCM of 279,407,384,555,628 with Prime Factorization
| 2 | 279, 407, 384, 555, 628 |
| 2 | 279, 407, 192, 555, 314 |
| 3 | 279, 407, 96, 555, 157 |
| 37 | 93, 407, 32, 185, 157 |
| 93, 11, 32, 5, 157 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 37 x 93 x 11 x 32 x 5 x 157 = 11409805440
Therefore, the lowest common multiple of 279,407,384,555,628 is 11409805440.
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.
279 x 407 x 384 x 555 x 628 = 15197860846080
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.
279 : 1, 3, 9, 31, 93, 279
407 : 1, 11, 37, 407
384 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 384
555 : 1, 3, 5, 15, 37, 111, 185, 555
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 279,407,384,555,628, is 1.
Now, the common factors can be found like this.
279:3x 3x 31
407:11x 37
384:2x 2x 2x 2x 2x 2x 2x 3
555:3x 5x 37
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 3x 3x 37 = 1332
Therefore, the value for common factors is 1332.
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 = 15197860846080/(1x1332)
LCM = 15197860846080/1332
LCM = 11409805440
Thus, we can understand that the LCM of 279,407,384,555,628 is 11409805440.
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FAQs on LCM of 279, 407, 384, 555, 628
1. What is the LCM of 279, 407, 384, 555, 628?
Answer: LCM of 279, 407, 384, 555, 628 is 11409805440.
2. How to calculate the LCM of 279, 407, 384, 555, 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 279, 407, 384, 555, 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}.