LCM of 697, 130, 407, 429, 714
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 697, 130, 407, 429, 714 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, 130, 407, 429, 714. So, keep reading to learn more.
Given numbers are 697,130,407,429,714
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 697,130,407,429,714 is 774443670.
Find LCM of 697,130,407,429,714 with Prime Factorization
| 2 | 697, 130, 407, 429, 714 |
| 3 | 697, 65, 407, 429, 357 |
| 11 | 697, 65, 407, 143, 119 |
| 13 | 697, 65, 37, 13, 119 |
| 17 | 697, 5, 37, 1, 119 |
| 41, 5, 37, 1, 7 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 11 x 13 x 17 x 41 x 5 x 37 x 1 x 7 = 774443670
Therefore, the lowest common multiple of 697,130,407,429,714 is 774443670.
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 130 x 407 x 429 x 714 = 11296035370620
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
130 : 1, 2, 5, 10, 13, 26, 65, 130
407 : 1, 11, 37, 407
429 : 1, 3, 11, 13, 33, 39, 143, 429
714 : 1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 697,130,407,429,714, is 1.
Now, the common factors can be found like this.
697:17x 41
130:2x 5x 13
407:11x 37
429:3x 11x 13
714:2x 3x 7x 17
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 11x 13x 17 = 14586
Therefore, the value for common factors is 14586.
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 = 11296035370620/(1x14586)
LCM = 11296035370620/14586
LCM = 774443670
Thus, we can understand that the LCM of 697,130,407,429,714 is 774443670.
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FAQs on LCM of 697, 130, 407, 429, 714
1. What is the LCM of 697, 130, 407, 429, 714?
Answer: LCM of 697, 130, 407, 429, 714 is 774443670.
2. How to calculate the LCM of 697, 130, 407, 429, 714?
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, 130, 407, 429, 714.
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}.