LCM of 314, 154, 792, 542, 654
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 314, 154, 792, 542, 654 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 314, 154, 792, 542, 654. So, keep reading to learn more.
Given numbers are 314,154,792,542,654
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 314,154,792,542,654 is 25710981912.
Find LCM of 314,154,792,542,654 with Prime Factorization
| 2 | 314, 154, 792, 542, 654 |
| 3 | 157, 77, 396, 271, 327 |
| 11 | 157, 77, 132, 271, 109 |
| 157, 7, 12, 271, 109 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 11 x 157 x 7 x 12 x 271 x 109 = 25710981912
Therefore, the lowest common multiple of 314,154,792,542,654 is 25710981912.
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.
314 x 154 x 792 x 542 x 654 = 13575398449536
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.
314 : 1, 2, 157, 314
154 : 1, 2, 7, 11, 14, 22, 77, 154
792 : 1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 132, 198, 264, 396, 792
542 : 1, 2, 271, 542
654 : 1, 2, 3, 6, 109, 218, 327, 654
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 314,154,792,542,654, is 2.
Now, the common factors can be found like this.
314:2x 157
154:2x 7x 11
792:2x 2x 2x 3x 3x 11
542:2x 271
654:2x 3x 109
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 11 = 264
Therefore, the value for common factors is 264.
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 = 13575398449536/(2x264)
LCM = 13575398449536/528
LCM = 25710981912
Thus, we can understand that the LCM of 314,154,792,542,654 is 25710981912.
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FAQs on LCM of 314, 154, 792, 542, 654
1. What is the LCM of 314, 154, 792, 542, 654?
Answer: LCM of 314, 154, 792, 542, 654 is 25710981912.
2. How to calculate the LCM of 314, 154, 792, 542, 654?
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 314, 154, 792, 542, 654.
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}.