LCM of 548, 867, 715, 564, 690
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 548, 867, 715, 564, 690 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 548, 867, 715, 564, 690. So, keep reading to learn more.
Given numbers are 548,867,715,564,690
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 548,867,715,564,690 is 367224283140.
Find LCM of 548,867,715,564,690 with Prime Factorization
| 2 | 548, 867, 715, 564, 690 |
| 2 | 274, 867, 715, 282, 345 |
| 3 | 137, 867, 715, 141, 345 |
| 5 | 137, 289, 715, 47, 115 |
| 137, 289, 143, 47, 23 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 137 x 289 x 143 x 47 x 23 = 367224283140
Therefore, the lowest common multiple of 548,867,715,564,690 is 367224283140.
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.
548 x 867 x 715 x 564 x 690 = 132200741930400
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.
548 : 1, 2, 4, 137, 274, 548
867 : 1, 3, 17, 51, 289, 867
715 : 1, 5, 11, 13, 55, 65, 143, 715
564 : 1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564
690 : 1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 548,867,715,564,690, is 1.
Now, the common factors can be found like this.
548:2x 2x 137
867:3x 17x 17
715:5x 11x 13
564:2x 2x 3x 47
690:2x 3x 5x 23
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 5 = 360
Therefore, the value for common factors is 360.
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 = 132200741930400/(1x360)
LCM = 132200741930400/360
LCM = 367224283140
Thus, we can understand that the LCM of 548,867,715,564,690 is 367224283140.
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FAQs on LCM of 548, 867, 715, 564, 690
1. What is the LCM of 548, 867, 715, 564, 690?
Answer: LCM of 548, 867, 715, 564, 690 is 367224283140.
2. How to calculate the LCM of 548, 867, 715, 564, 690?
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 548, 867, 715, 564, 690.
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}.