LCM of 654, 868, 934, 652, 438
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 654, 868, 934, 652, 438 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 654, 868, 934, 652, 438. So, keep reading to learn more.
Given numbers are 654,868,934,652,438
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 654,868,934,652,438 is 1577229251388.
Find LCM of 654,868,934,652,438 with Prime Factorization
| 2 | 654, 868, 934, 652, 438 |
| 2 | 327, 434, 467, 326, 219 |
| 3 | 327, 217, 467, 163, 219 |
| 109, 217, 467, 163, 73 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 109 x 217 x 467 x 163 x 73 = 1577229251388
Therefore, the lowest common multiple of 654,868,934,652,438 is 1577229251388.
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.
654 x 868 x 934 x 652 x 438 = 151414008133248
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.
654 : 1, 2, 3, 6, 109, 218, 327, 654
868 : 1, 2, 4, 7, 14, 28, 31, 62, 124, 217, 434, 868
934 : 1, 2, 467, 934
652 : 1, 2, 4, 163, 326, 652
438 : 1, 2, 3, 6, 73, 146, 219, 438
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 654,868,934,652,438, is 2.
Now, the common factors can be found like this.
654:2x 3x 109
868:2x 2x 7x 31
934:2x 467
652:2x 2x 163
438:2x 3x 73
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 2x 3 = 48
Therefore, the value for common factors is 48.
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 = 151414008133248/(2x48)
LCM = 151414008133248/96
LCM = 1577229251388
Thus, we can understand that the LCM of 654,868,934,652,438 is 1577229251388.
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FAQs on LCM of 654, 868, 934, 652, 438
1. What is the LCM of 654, 868, 934, 652, 438?
Answer: LCM of 654, 868, 934, 652, 438 is 1577229251388.
2. How to calculate the LCM of 654, 868, 934, 652, 438?
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 654, 868, 934, 652, 438.
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}.