LCM of 278, 198, 933, 548, 473
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 278, 198, 933, 548, 473 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 278, 198, 933, 548, 473. So, keep reading to learn more.
Given numbers are 278,198,933,548,473
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 278,198,933,548,473 is 100846167444.
Find LCM of 278,198,933,548,473 with Prime Factorization
| 2 | 278, 198, 933, 548, 473 |
| 3 | 139, 99, 933, 274, 473 |
| 11 | 139, 33, 311, 274, 473 |
| 139, 3, 311, 274, 43 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 11 x 139 x 3 x 311 x 274 x 43 = 100846167444
Therefore, the lowest common multiple of 278,198,933,548,473 is 100846167444.
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.
278 x 198 x 933 x 548 x 473 = 13311694102608
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.
278 : 1, 2, 139, 278
198 : 1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198
933 : 1, 3, 311, 933
548 : 1, 2, 4, 137, 274, 548
473 : 1, 11, 43, 473
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 278,198,933,548,473, is 1.
Now, the common factors can be found like this.
278:2x 139
198:2x 3x 3x 11
933:3x 311
548:2x 2x 137
473:11x 43
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 11 = 132
Therefore, the value for common factors is 132.
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 = 13311694102608/(1x132)
LCM = 13311694102608/132
LCM = 100846167444
Thus, we can understand that the LCM of 278,198,933,548,473 is 100846167444.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 278, 198, 933, 548, 473
1. What is the LCM of 278, 198, 933, 548, 473?
Answer: LCM of 278, 198, 933, 548, 473 is 100846167444.
2. How to calculate the LCM of 278, 198, 933, 548, 473?
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 278, 198, 933, 548, 473.
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}.