LCM of 678, 708, 354, 197
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 678, 708, 354, 197 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 678, 708, 354, 197. So, keep reading to learn more.
Given numbers are 678,708,354,197
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 678,708,354,197 is 15760788.
Find LCM of 678,708,354,197 with Prime Factorization
| 2 | 678, 708, 354, 197 |
| 3 | 339, 354, 177, 197 |
| 59 | 113, 118, 59, 197 |
| 113, 2, 1, 197 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 59 x 113 x 2 x 1 x 197 = 15760788
Therefore, the lowest common multiple of 678,708,354,197 is 15760788.
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.
678 x 708 x 354 x 197 = 33475913712
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.
678 : 1, 2, 3, 6, 113, 226, 339, 678
708 : 1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708
354 : 1, 2, 3, 6, 59, 118, 177, 354
197 : 1, 197
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 678,708,354,197, is 1.
Now, the common factors can be found like this.
678:2x 3x 113
708:2x 2x 3x 59
354:2x 3x 59
197:197
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 3x 59 = 2124
Therefore, the value for common factors is 2124.
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 = 33475913712/(1x2124)
LCM = 33475913712/2124
LCM = 15760788
Thus, we can understand that the LCM of 678,708,354,197 is 15760788.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 678, 708, 354, 197
1. What is the LCM of 678, 708, 354, 197?
Answer: LCM of 678, 708, 354, 197 is 15760788.
2. How to calculate the LCM of 678, 708, 354, 197?
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 678, 708, 354, 197.
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}.