LCM of 278, 924, 560, 341
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 278, 924, 560, 341 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 278, 924, 560, 341. So, keep reading to learn more.
Given numbers are 278,924,560,341
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 278,924,560,341 is 79630320.
Find LCM of 278,924,560,341 with Prime Factorization
| 2 | 278, 924, 560, 341 |
| 2 | 139, 462, 280, 341 |
| 7 | 139, 231, 140, 341 |
| 11 | 139, 33, 20, 341 |
| 139, 3, 20, 31 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 7 x 11 x 139 x 3 x 20 x 31 = 79630320
Therefore, the lowest common multiple of 278,924,560,341 is 79630320.
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.
278 x 924 x 560 x 341 = 49052277120
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.
278 : 1, 2, 139, 278
924 : 1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924
560 : 1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560
341 : 1, 11, 31, 341
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 278,924,560,341, is 1.
Now, the common factors can be found like this.
278:2x 139
924:2x 2x 3x 7x 11
560:2x 2x 2x 2x 5x 7
341:11x 31
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 7x 11 = 616
Therefore, the value for common factors is 616.
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 = 49052277120/(1x616)
LCM = 49052277120/616
LCM = 79630320
Thus, we can understand that the LCM of 278,924,560,341 is 79630320.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 278, 924, 560, 341
1. What is the LCM of 278, 924, 560, 341?
Answer: LCM of 278, 924, 560, 341 is 79630320.
2. How to calculate the LCM of 278, 924, 560, 341?
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 278, 924, 560, 341.
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}.