LCM of 542, 782, 811, 346, 408
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 542, 782, 811, 346, 408 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 542, 782, 811, 346, 408. So, keep reading to learn more.
Given numbers are 542,782,811,346,408
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 542,782,811,346,408 is 356799508392.
Find LCM of 542,782,811,346,408 with Prime Factorization
| 2 | 542, 782, 811, 346, 408 |
| 17 | 271, 391, 811, 173, 204 |
| 271, 23, 811, 173, 12 |
Multiply the prime numbers at the bottom and the left side.
2 x 17 x 271 x 23 x 811 x 173 x 12 = 356799508392
Therefore, the lowest common multiple of 542,782,811,346,408 is 356799508392.
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.
542 x 782 x 811 x 346 x 408 = 48524733141312
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.
542 : 1, 2, 271, 542
782 : 1, 2, 17, 23, 34, 46, 391, 782
811 : 1, 811
346 : 1, 2, 173, 346
408 : 1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 542,782,811,346,408, is 1.
Now, the common factors can be found like this.
542:2x 271
782:2x 17x 23
811:811
346:2x 173
408:2x 2x 2x 3x 17
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 17 = 136
Therefore, the value for common factors is 136.
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 = 48524733141312/(1x136)
LCM = 48524733141312/136
LCM = 356799508392
Thus, we can understand that the LCM of 542,782,811,346,408 is 356799508392.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 542, 782, 811, 346, 408
1. What is the LCM of 542, 782, 811, 346, 408?
Answer: LCM of 542, 782, 811, 346, 408 is 356799508392.
2. How to calculate the LCM of 542, 782, 811, 346, 408?
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 542, 782, 811, 346, 408.
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}.