LCM of 534, 772, 979, 556, 618
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 534, 772, 979, 556, 618 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 534, 772, 979, 556, 618. So, keep reading to learn more.
Given numbers are 534,772,979,556,618
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 534,772,979,556,618 is 32461850388.
Find LCM of 534,772,979,556,618 with Prime Factorization
| 2 | 534, 772, 979, 556, 618 |
| 2 | 267, 386, 979, 278, 309 |
| 3 | 267, 193, 979, 139, 309 |
| 89 | 89, 193, 979, 139, 103 |
| 1, 193, 11, 139, 103 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 89 x 1 x 193 x 11 x 139 x 103 = 32461850388
Therefore, the lowest common multiple of 534,772,979,556,618 is 32461850388.
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.
534 x 772 x 979 x 556 x 618 = 138677024857536
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.
534 : 1, 2, 3, 6, 89, 178, 267, 534
772 : 1, 2, 4, 193, 386, 772
979 : 1, 11, 89, 979
556 : 1, 2, 4, 139, 278, 556
618 : 1, 2, 3, 6, 103, 206, 309, 618
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 534,772,979,556,618, is 1.
Now, the common factors can be found like this.
534:2x 3x 89
772:2x 2x 193
979:11x 89
556:2x 2x 139
618:2x 3x 103
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 3x 89 = 4272
Therefore, the value for common factors is 4272.
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 = 138677024857536/(1x4272)
LCM = 138677024857536/4272
LCM = 32461850388
Thus, we can understand that the LCM of 534,772,979,556,618 is 32461850388.
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FAQs on LCM of 534, 772, 979, 556, 618
1. What is the LCM of 534, 772, 979, 556, 618?
Answer: LCM of 534, 772, 979, 556, 618 is 32461850388.
2. How to calculate the LCM of 534, 772, 979, 556, 618?
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 534, 772, 979, 556, 618.
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}.