LCM of 694, 130, 586, 588, 429
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 694, 130, 586, 588, 429 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 694, 130, 586, 588, 429. So, keep reading to learn more.
Given numbers are 694,130,586,588,429
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 694,130,586,588,429 is 42744521820.
Find LCM of 694,130,586,588,429 with Prime Factorization
| 2 | 694, 130, 586, 588, 429 |
| 3 | 347, 65, 293, 294, 429 |
| 13 | 347, 65, 293, 98, 143 |
| 347, 5, 293, 98, 11 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 13 x 347 x 5 x 293 x 98 x 11 = 42744521820
Therefore, the lowest common multiple of 694,130,586,588,429 is 42744521820.
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.
694 x 130 x 586 x 588 x 429 = 13336290807840
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.
694 : 1, 2, 347, 694
130 : 1, 2, 5, 10, 13, 26, 65, 130
586 : 1, 2, 293, 586
588 : 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588
429 : 1, 3, 11, 13, 33, 39, 143, 429
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 694,130,586,588,429, is 1.
Now, the common factors can be found like this.
694:2x 347
130:2x 5x 13
586:2x 293
588:2x 2x 3x 7x 7
429:3x 11x 13
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 2x 3x 13 = 312
Therefore, the value for common factors is 312.
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 = 13336290807840/(1x312)
LCM = 13336290807840/312
LCM = 42744521820
Thus, we can understand that the LCM of 694,130,586,588,429 is 42744521820.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 694, 130, 586, 588, 429
1. What is the LCM of 694, 130, 586, 588, 429?
Answer: LCM of 694, 130, 586, 588, 429 is 42744521820.
2. How to calculate the LCM of 694, 130, 586, 588, 429?
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 694, 130, 586, 588, 429.
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}.