LCM of 697, 615, 606, 90
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 697, 615, 606, 90 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 697, 615, 606, 90. So, keep reading to learn more.
Given numbers are 697,615,606,90
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 697,615,606,90 is 6335730.
Find LCM of 697,615,606,90 with Prime Factorization
| 2 | 697, 615, 606, 90 |
| 3 | 697, 615, 303, 45 |
| 5 | 697, 205, 101, 15 |
| 41 | 697, 41, 101, 3 |
| 17, 1, 101, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 41 x 17 x 1 x 101 x 3 = 6335730
Therefore, the lowest common multiple of 697,615,606,90 is 6335730.
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.
697 x 615 x 606 x 90 = 23378843700
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.
697 : 1, 17, 41, 697
615 : 1, 3, 5, 15, 41, 123, 205, 615
606 : 1, 2, 3, 6, 101, 202, 303, 606
90 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 697,615,606,90, is 1.
Now, the common factors can be found like this.
697:17x 41
615:3x 5x 41
606:2x 3x 101
90:2x 3x 3x 5
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 3x 5x 41 = 3690
Therefore, the value for common factors is 3690.
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 = 23378843700/(1x3690)
LCM = 23378843700/3690
LCM = 6335730
Thus, we can understand that the LCM of 697,615,606,90 is 6335730.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 697, 615, 606, 90
1. What is the LCM of 697, 615, 606, 90?
Answer: LCM of 697, 615, 606, 90 is 6335730.
2. How to calculate the LCM of 697, 615, 606, 90?
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 697, 615, 606, 90.
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}.