LCM of 690, 103, 478, 918, 197
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 690, 103, 478, 918, 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 690, 103, 478, 918, 197. So, keep reading to learn more.
Given numbers are 690,103,478,918,197
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 690,103,478,918,197 is 511966887930.
Find LCM of 690,103,478,918,197 with Prime Factorization
| 2 | 690, 103, 478, 918, 197 |
| 3 | 345, 103, 239, 459, 197 |
| 115, 103, 239, 153, 197 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 115 x 103 x 239 x 153 x 197 = 511966887930
Therefore, the lowest common multiple of 690,103,478,918,197 is 511966887930.
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.
690 x 103 x 478 x 918 x 197 = 6143602655160
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.
690 : 1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690
103 : 1, 103
478 : 1, 2, 239, 478
918 : 1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918
197 : 1, 197
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 690,103,478,918,197, is 1.
Now, the common factors can be found like this.
690:2x 3x 5x 23
103:103
478:2x 239
918:2x 3x 3x 3x 17
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 3 = 12
Therefore, the value for common factors is 12.
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 = 6143602655160/(1x12)
LCM = 6143602655160/12
LCM = 511966887930
Thus, we can understand that the LCM of 690,103,478,918,197 is 511966887930.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 690, 103, 478, 918, 197
1. What is the LCM of 690, 103, 478, 918, 197?
Answer: LCM of 690, 103, 478, 918, 197 is 511966887930.
2. How to calculate the LCM of 690, 103, 478, 918, 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 690, 103, 478, 918, 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}.