LCM of 784, 346, 240, 918
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 784, 346, 240, 918 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 784, 346, 240, 918. So, keep reading to learn more.
Given numbers are 784,346,240,918
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 784,346,240,918 is 311275440.
Find LCM of 784,346,240,918 with Prime Factorization
| 2 | 784, 346, 240, 918 |
| 2 | 392, 173, 120, 459 |
| 2 | 196, 173, 60, 459 |
| 2 | 98, 173, 30, 459 |
| 3 | 49, 173, 15, 459 |
| 49, 173, 5, 153 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 3 x 49 x 173 x 5 x 153 = 311275440
Therefore, the lowest common multiple of 784,346,240,918 is 311275440.
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.
784 x 346 x 240 x 918 = 59764884480
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.
784 : 1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784
346 : 1, 2, 173, 346
240 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240
918 : 1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 784,346,240,918, is 2.
Now, the common factors can be found like this.
784:2x 2x 2x 2x 7x 7
346:2x 173
240:2x 2x 2x 2x 3x 5
918:2x 3x 3x 3x 17
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 3 = 96
Therefore, the value for common factors is 96.
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 = 59764884480/(2x96)
LCM = 59764884480/192
LCM = 311275440
Thus, we can understand that the LCM of 784,346,240,918 is 311275440.
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FAQs on LCM of 784, 346, 240, 918
1. What is the LCM of 784, 346, 240, 918?
Answer: LCM of 784, 346, 240, 918 is 311275440.
2. How to calculate the LCM of 784, 346, 240, 918?
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 784, 346, 240, 918.
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}.