LCM of 697, 551, 203, 177, 435
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 697, 551, 203, 177, 435 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, 551, 203, 177, 435. So, keep reading to learn more.
Given numbers are 697,551,203,177,435
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 697,551,203,177,435 is 2379171165.
Find LCM of 697,551,203,177,435 with Prime Factorization
| 3 | 697, 551, 203, 177, 435 |
| 29 | 697, 551, 203, 59, 145 |
| 697, 19, 7, 59, 5 |
Multiply the prime numbers at the bottom and the left side.
3 x 29 x 697 x 19 x 7 x 59 x 5 = 2379171165
Therefore, the lowest common multiple of 697,551,203,177,435 is 2379171165.
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 551 x 203 x 177 x 435 = 6002648849295
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
551 : 1, 19, 29, 551
203 : 1, 7, 29, 203
177 : 1, 3, 59, 177
435 : 1, 3, 5, 15, 29, 87, 145, 435
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 697,551,203,177,435, is 1.
Now, the common factors can be found like this.
697:17x 41
551:19x 29
203:7x 29
177:3x 59
435:3x 5x 29
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 29x 29 = 2523
Therefore, the value for common factors is 2523.
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 = 6002648849295/(1x2523)
LCM = 6002648849295/2523
LCM = 2379171165
Thus, we can understand that the LCM of 697,551,203,177,435 is 2379171165.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 697, 551, 203, 177, 435
1. What is the LCM of 697, 551, 203, 177, 435?
Answer: LCM of 697, 551, 203, 177, 435 is 2379171165.
2. How to calculate the LCM of 697, 551, 203, 177, 435?
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, 551, 203, 177, 435.
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}.