LCM of 624, 627, 540, 695
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 624, 627, 540, 695 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 624, 627, 540, 695. So, keep reading to learn more.
Given numbers are 624,627,540,695
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 624,627,540,695 is 815752080.
Find LCM of 624,627,540,695 with Prime Factorization
| 2 | 624, 627, 540, 695 |
| 2 | 312, 627, 270, 695 |
| 3 | 156, 627, 135, 695 |
| 5 | 52, 209, 45, 695 |
| 52, 209, 9, 139 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 52 x 209 x 9 x 139 = 815752080
Therefore, the lowest common multiple of 624,627,540,695 is 815752080.
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.
624 x 627 x 540 x 695 = 146835374400
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.
624 : 1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624
627 : 1, 3, 11, 19, 33, 57, 209, 627
540 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540
695 : 1, 5, 139, 695
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 624,627,540,695, is 1.
Now, the common factors can be found like this.
624:2x 2x 2x 2x 3x 13
627:3x 11x 19
540:2x 2x 3x 3x 3x 5
695:5x 139
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 3x 3x 5 = 180
Therefore, the value for common factors is 180.
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 = 146835374400/(1x180)
LCM = 146835374400/180
LCM = 815752080
Thus, we can understand that the LCM of 624,627,540,695 is 815752080.
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FAQs on LCM of 624, 627, 540, 695
1. What is the LCM of 624, 627, 540, 695?
Answer: LCM of 624, 627, 540, 695 is 815752080.
2. How to calculate the LCM of 624, 627, 540, 695?
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 624, 627, 540, 695.
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}.