LCM of 920, 119, 510, 908, 736
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 920, 119, 510, 908, 736 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 920, 119, 510, 908, 736. So, keep reading to learn more.
Given numbers are 920,119,510,908,736
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 920,119,510,908,736 is 298223520.
Find LCM of 920,119,510,908,736 with Prime Factorization
| 2 | 920, 119, 510, 908, 736 |
| 2 | 460, 119, 255, 454, 368 |
| 2 | 230, 119, 255, 227, 184 |
| 5 | 115, 119, 255, 227, 92 |
| 17 | 23, 119, 51, 227, 92 |
| 23 | 23, 7, 3, 227, 92 |
| 1, 7, 3, 227, 4 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 5 x 17 x 23 x 1 x 7 x 3 x 227 x 4 = 298223520
Therefore, the lowest common multiple of 920,119,510,908,736 is 298223520.
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.
920 x 119 x 510 x 908 x 736 = 37313726822400
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.
920 : 1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920
119 : 1, 7, 17, 119
510 : 1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 170, 255, 510
908 : 1, 2, 4, 227, 454, 908
736 : 1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 920,119,510,908,736, is 1.
Now, the common factors can be found like this.
920:2x 2x 2x 5x 23
119:7x 17
510:2x 3x 5x 17
908:2x 2x 227
736:2x 2x 2x 2x 2x 23
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 5x 17x 23 = 125120
Therefore, the value for common factors is 125120.
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 = 37313726822400/(1x125120)
LCM = 37313726822400/125120
LCM = 298223520
Thus, we can understand that the LCM of 920,119,510,908,736 is 298223520.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 920, 119, 510, 908, 736
1. What is the LCM of 920, 119, 510, 908, 736?
Answer: LCM of 920, 119, 510, 908, 736 is 298223520.
2. How to calculate the LCM of 920, 119, 510, 908, 736?
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 920, 119, 510, 908, 736.
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}.