LCM of 688, 436, 109, 150, 490
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 688, 436, 109, 150, 490 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 688, 436, 109, 150, 490. So, keep reading to learn more.
Given numbers are 688,436,109,150,490
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 688,436,109,150,490 is 275595600.
Find LCM of 688,436,109,150,490 with Prime Factorization
| 2 | 688, 436, 109, 150, 490 |
| 2 | 344, 218, 109, 75, 245 |
| 5 | 172, 109, 109, 75, 245 |
| 109 | 172, 109, 109, 15, 49 |
| 172, 1, 1, 15, 49 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 109 x 172 x 1 x 1 x 15 x 49 = 275595600
Therefore, the lowest common multiple of 688,436,109,150,490 is 275595600.
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.
688 x 436 x 109 x 150 x 490 = 2403193632000
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.
688 : 1, 2, 4, 8, 16, 43, 86, 172, 344, 688
436 : 1, 2, 4, 109, 218, 436
109 : 1, 109
150 : 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150
490 : 1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 490
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 688,436,109,150,490, is 1.
Now, the common factors can be found like this.
688:2x 2x 2x 2x 43
436:2x 2x 109
109:109
150:2x 3x 5x 5
490:2x 5x 7x 7
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 5x 109 = 8720
Therefore, the value for common factors is 8720.
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 = 2403193632000/(1x8720)
LCM = 2403193632000/8720
LCM = 275595600
Thus, we can understand that the LCM of 688,436,109,150,490 is 275595600.
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FAQs on LCM of 688, 436, 109, 150, 490
1. What is the LCM of 688, 436, 109, 150, 490?
Answer: LCM of 688, 436, 109, 150, 490 is 275595600.
2. How to calculate the LCM of 688, 436, 109, 150, 490?
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 688, 436, 109, 150, 490.
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}.