LCM of 694, 458, 660, 420
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 694, 458, 660, 420 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, 458, 660, 420. So, keep reading to learn more.
Given numbers are 694,458,660,420
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 694,458,660,420 is 367119060.
Find LCM of 694,458,660,420 with Prime Factorization
| 2 | 694, 458, 660, 420 |
| 2 | 347, 229, 330, 210 |
| 3 | 347, 229, 165, 105 |
| 5 | 347, 229, 55, 35 |
| 347, 229, 11, 7 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 347 x 229 x 11 x 7 = 367119060
Therefore, the lowest common multiple of 694,458,660,420 is 367119060.
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 458 x 660 x 420 = 88108574400
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
458 : 1, 2, 229, 458
660 : 1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660
420 : 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 694,458,660,420, is 2.
Now, the common factors can be found like this.
694:2x 347
458:2x 229
660:2x 2x 3x 5x 11
420:2x 2x 3x 5x 7
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 5 = 120
Therefore, the value for common factors is 120.
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 = 88108574400/(2x120)
LCM = 88108574400/240
LCM = 367119060
Thus, we can understand that the LCM of 694,458,660,420 is 367119060.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 694, 458, 660, 420
1. What is the LCM of 694, 458, 660, 420?
Answer: LCM of 694, 458, 660, 420 is 367119060.
2. How to calculate the LCM of 694, 458, 660, 420?
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, 458, 660, 420.
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}.