LCM of 560, 739, 674, 896, 953
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 560, 739, 674, 896, 953 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 560, 739, 674, 896, 953. So, keep reading to learn more.
Given numbers are 560,739,674,896,953
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 560,739,674,896,953 is 1063274145920.
Find LCM of 560,739,674,896,953 with Prime Factorization
| 2 | 560, 739, 674, 896, 953 |
| 2 | 280, 739, 337, 448, 953 |
| 2 | 140, 739, 337, 224, 953 |
| 2 | 70, 739, 337, 112, 953 |
| 7 | 35, 739, 337, 56, 953 |
| 5, 739, 337, 8, 953 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 7 x 5 x 739 x 337 x 8 x 953 = 1063274145920
Therefore, the lowest common multiple of 560,739,674,896,953 is 1063274145920.
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.
560 x 739 x 674 x 896 x 953 = 238173408686080
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.
560 : 1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560
739 : 1, 739
674 : 1, 2, 337, 674
896 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 128, 224, 448, 896
953 : 1, 953
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 560,739,674,896,953, is 1.
Now, the common factors can be found like this.
560:2x 2x 2x 2x 5x 7
739:739
674:2x 337
896:2x 2x 2x 2x 2x 2x 2x 7
953:953
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 7 = 224
Therefore, the value for common factors is 224.
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 = 238173408686080/(1x224)
LCM = 238173408686080/224
LCM = 1063274145920
Thus, we can understand that the LCM of 560,739,674,896,953 is 1063274145920.
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FAQs on LCM of 560, 739, 674, 896, 953
1. What is the LCM of 560, 739, 674, 896, 953?
Answer: LCM of 560, 739, 674, 896, 953 is 1063274145920.
2. How to calculate the LCM of 560, 739, 674, 896, 953?
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 560, 739, 674, 896, 953.
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}.