LCM of 378, 618, 973, 103
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 378, 618, 973, 103 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 378, 618, 973, 103. So, keep reading to learn more.
Given numbers are 378,618,973,103
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 378,618,973,103 is 5411826.
Find LCM of 378,618,973,103 with Prime Factorization
| 2 | 378, 618, 973, 103 |
| 3 | 189, 309, 973, 103 |
| 7 | 63, 103, 973, 103 |
| 103 | 9, 103, 139, 103 |
| 9, 1, 139, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 7 x 103 x 9 x 1 x 139 x 1 = 5411826
Therefore, the lowest common multiple of 378,618,973,103 is 5411826.
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.
378 x 618 x 973 x 103 = 23411559276
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.
378 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378
618 : 1, 2, 3, 6, 103, 206, 309, 618
973 : 1, 7, 139, 973
103 : 1, 103
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 378,618,973,103, is 1.
Now, the common factors can be found like this.
378:2x 3x 3x 3x 7
618:2x 3x 103
973:7x 139
103:103
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 7x 103 = 4326
Therefore, the value for common factors is 4326.
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 = 23411559276/(1x4326)
LCM = 23411559276/4326
LCM = 5411826
Thus, we can understand that the LCM of 378,618,973,103 is 5411826.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 378, 618, 973, 103
1. What is the LCM of 378, 618, 973, 103?
Answer: LCM of 378, 618, 973, 103 is 5411826.
2. How to calculate the LCM of 378, 618, 973, 103?
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 378, 618, 973, 103.
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}.