LCM of 958, 784, 224, 640
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 958, 784, 224, 640 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 958, 784, 224, 640. So, keep reading to learn more.
Given numbers are 958,784,224,640
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 958,784,224,640 is 15021440.
Find LCM of 958,784,224,640 with Prime Factorization
| 2 | 958, 784, 224, 640 |
| 2 | 479, 392, 112, 320 |
| 2 | 479, 196, 56, 160 |
| 2 | 479, 98, 28, 80 |
| 2 | 479, 49, 14, 40 |
| 7 | 479, 49, 7, 20 |
| 479, 1, 7, 20 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 2 x 7 x 479 x 1 x 7 x 20 = 15021440
Therefore, the lowest common multiple of 958,784,224,640 is 15021440.
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.
958 x 784 x 224 x 640 = 107673681920
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.
958 : 1, 2, 479, 958
784 : 1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784
224 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224
640 : 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 128, 160, 320, 640
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 958,784,224,640, is 2.
Now, the common factors can be found like this.
958:2x 479
784:2x 2x 2x 2x 7x 7
224:2x 2x 2x 2x 2x 7
640:2x 2x 2x 2x 2x 2x 2x 5
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 2x 2x 7 = 3584
Therefore, the value for common factors is 3584.
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 = 107673681920/(2x3584)
LCM = 107673681920/7168
LCM = 15021440
Thus, we can understand that the LCM of 958,784,224,640 is 15021440.
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FAQs on LCM of 958, 784, 224, 640
1. What is the LCM of 958, 784, 224, 640?
Answer: LCM of 958, 784, 224, 640 is 15021440.
2. How to calculate the LCM of 958, 784, 224, 640?
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 958, 784, 224, 640.
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}.