LCM of 694, 675, 780, 546, 454
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 694, 675, 780, 546, 454 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, 675, 780, 546, 454. So, keep reading to learn more.
Given numbers are 694,675,780,546,454
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 694,675,780,546,454 is 19353543300.
Find LCM of 694,675,780,546,454 with Prime Factorization
| 2 | 694, 675, 780, 546, 454 |
| 3 | 347, 675, 390, 273, 227 |
| 5 | 347, 225, 130, 91, 227 |
| 13 | 347, 45, 26, 91, 227 |
| 347, 45, 2, 7, 227 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 13 x 347 x 45 x 2 x 7 x 227 = 19353543300
Therefore, the lowest common multiple of 694,675,780,546,454 is 19353543300.
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 675 x 780 x 546 x 454 = 90574582644000
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
675 : 1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225, 675
780 : 1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780
546 : 1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546
454 : 1, 2, 227, 454
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 694,675,780,546,454, is 1.
Now, the common factors can be found like this.
694:2x 347
675:3x 3x 3x 5x 5
780:2x 2x 3x 5x 13
546:2x 3x 7x 13
454:2x 227
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 3x 5x 13 = 4680
Therefore, the value for common factors is 4680.
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 = 90574582644000/(1x4680)
LCM = 90574582644000/4680
LCM = 19353543300
Thus, we can understand that the LCM of 694,675,780,546,454 is 19353543300.
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FAQs on LCM of 694, 675, 780, 546, 454
1. What is the LCM of 694, 675, 780, 546, 454?
Answer: LCM of 694, 675, 780, 546, 454 is 19353543300.
2. How to calculate the LCM of 694, 675, 780, 546, 454?
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, 675, 780, 546, 454.
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}.