LCM of 654, 355, 156, 494, 710
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 654, 355, 156, 494, 710 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, 355, 156, 494, 710. So, keep reading to learn more.
Given numbers are 654,355,156,494,710
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 654,355,156,494,710 is 114691980.
Find LCM of 654,355,156,494,710 with Prime Factorization
| 2 | 654, 355, 156, 494, 710 |
| 3 | 327, 355, 78, 247, 355 |
| 5 | 109, 355, 26, 247, 355 |
| 13 | 109, 71, 26, 247, 71 |
| 71 | 109, 71, 2, 19, 71 |
| 109, 1, 2, 19, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 13 x 71 x 109 x 1 x 2 x 19 x 1 = 114691980
Therefore, the lowest common multiple of 654,355,156,494,710 is 114691980.
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 355 x 156 x 494 x 710 = 12703283704800
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
355 : 1, 5, 71, 355
156 : 1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156
494 : 1, 2, 13, 19, 26, 38, 247, 494
710 : 1, 2, 5, 10, 71, 142, 355, 710
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 654,355,156,494,710, is 1.
Now, the common factors can be found like this.
654:2x 3x 109
355:5x 71
156:2x 2x 3x 13
494:2x 13x 19
710:2x 5x 71
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 5x 13x 71 = 110760
Therefore, the value for common factors is 110760.
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 = 12703283704800/(1x110760)
LCM = 12703283704800/110760
LCM = 114691980
Thus, we can understand that the LCM of 654,355,156,494,710 is 114691980.
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FAQs on LCM of 654, 355, 156, 494, 710
1. What is the LCM of 654, 355, 156, 494, 710?
Answer: LCM of 654, 355, 156, 494, 710 is 114691980.
2. How to calculate the LCM of 654, 355, 156, 494, 710?
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, 355, 156, 494, 710.
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}.