LCM of 294, 104, 506, 840
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 294, 104, 506, 840 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 294, 104, 506, 840. So, keep reading to learn more.
Given numbers are 294,104,506,840
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 294,104,506,840 is 19339320.
Find LCM of 294,104,506,840 with Prime Factorization
| 2 | 294, 104, 506, 840 |
| 2 | 147, 52, 253, 420 |
| 2 | 147, 26, 253, 210 |
| 3 | 147, 13, 253, 105 |
| 7 | 49, 13, 253, 35 |
| 7, 13, 253, 5 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 7 x 7 x 13 x 253 x 5 = 19339320
Therefore, the lowest common multiple of 294,104,506,840 is 19339320.
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.
294 x 104 x 506 x 840 = 12996023040
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.
294 : 1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294
104 : 1, 2, 4, 8, 13, 26, 52, 104
506 : 1, 2, 11, 22, 23, 46, 253, 506
840 : 1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 294,104,506,840, is 2.
Now, the common factors can be found like this.
294:2x 3x 7x 7
104:2x 2x 2x 13
506:2x 11x 23
840:2x 2x 2x 3x 5x 7
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 3x 7 = 336
Therefore, the value for common factors is 336.
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 = 12996023040/(2x336)
LCM = 12996023040/672
LCM = 19339320
Thus, we can understand that the LCM of 294,104,506,840 is 19339320.
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FAQs on LCM of 294, 104, 506, 840
1. What is the LCM of 294, 104, 506, 840?
Answer: LCM of 294, 104, 506, 840 is 19339320.
2. How to calculate the LCM of 294, 104, 506, 840?
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 294, 104, 506, 840.
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}.