LCM of 136, 575, 616, 680, 778
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 136, 575, 616, 680, 778 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 136, 575, 616, 680, 778. So, keep reading to learn more.
Given numbers are 136,575,616,680,778
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 136,575,616,680,778 is 2342324600.
Find LCM of 136,575,616,680,778 with Prime Factorization
| 2 | 136, 575, 616, 680, 778 |
| 2 | 68, 575, 308, 340, 389 |
| 2 | 34, 575, 154, 170, 389 |
| 5 | 17, 575, 77, 85, 389 |
| 17 | 17, 115, 77, 17, 389 |
| 1, 115, 77, 1, 389 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 5 x 17 x 1 x 115 x 77 x 1 x 389 = 2342324600
Therefore, the lowest common multiple of 136,575,616,680,778 is 2342324600.
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.
136 x 575 x 616 x 680 x 778 = 25484491648000
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.
136 : 1, 2, 4, 8, 17, 34, 68, 136
575 : 1, 5, 23, 25, 115, 575
616 : 1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616
680 : 1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680
778 : 1, 2, 389, 778
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 136,575,616,680,778, is 1.
Now, the common factors can be found like this.
136:2x 2x 2x 17
575:5x 5x 23
616:2x 2x 2x 7x 11
680:2x 2x 2x 5x 17
778:2x 389
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 2x 2x 2x 5x 17 = 10880
Therefore, the value for common factors is 10880.
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 = 25484491648000/(1x10880)
LCM = 25484491648000/10880
LCM = 2342324600
Thus, we can understand that the LCM of 136,575,616,680,778 is 2342324600.
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FAQs on LCM of 136, 575, 616, 680, 778
1. What is the LCM of 136, 575, 616, 680, 778?
Answer: LCM of 136, 575, 616, 680, 778 is 2342324600.
2. How to calculate the LCM of 136, 575, 616, 680, 778?
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 136, 575, 616, 680, 778.
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}.