LCM of 194, 556, 782, 478, 748
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 194, 556, 782, 478, 748 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 194, 556, 782, 478, 748. So, keep reading to learn more.
Given numbers are 194,556,782,478,748
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 194,556,782,478,748 is 55438806148.
Find LCM of 194,556,782,478,748 with Prime Factorization
| 2 | 194, 556, 782, 478, 748 |
| 2 | 97, 278, 391, 239, 374 |
| 17 | 97, 139, 391, 239, 187 |
| 97, 139, 23, 239, 11 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 17 x 97 x 139 x 23 x 239 x 11 = 55438806148
Therefore, the lowest common multiple of 194,556,782,478,748 is 55438806148.
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.
194 x 556 x 782 x 478 x 748 = 30158710544512
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.
194 : 1, 2, 97, 194
556 : 1, 2, 4, 139, 278, 556
782 : 1, 2, 17, 23, 34, 46, 391, 782
478 : 1, 2, 239, 478
748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 194,556,782,478,748, is 2.
Now, the common factors can be found like this.
194:2x 97
556:2x 2x 139
782:2x 17x 23
478:2x 239
748:2x 2x 11x 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 2x 17 = 272
Therefore, the value for common factors is 272.
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 = 30158710544512/(2x272)
LCM = 30158710544512/544
LCM = 55438806148
Thus, we can understand that the LCM of 194,556,782,478,748 is 55438806148.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 194, 556, 782, 478, 748
1. What is the LCM of 194, 556, 782, 478, 748?
Answer: LCM of 194, 556, 782, 478, 748 is 55438806148.
2. How to calculate the LCM of 194, 556, 782, 478, 748?
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 194, 556, 782, 478, 748.
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}.