LCM of 564, 684, 988, 342
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 564, 684, 988, 342 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 564, 684, 988, 342. So, keep reading to learn more.
Given numbers are 564,684,988,342
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 564,684,988,342 is 417924.
Find LCM of 564,684,988,342 with Prime Factorization
| 2 | 564, 684, 988, 342 |
| 2 | 282, 342, 494, 171 |
| 3 | 141, 171, 247, 171 |
| 3 | 47, 57, 247, 57 |
| 19 | 47, 19, 247, 19 |
| 47, 1, 13, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 19 x 47 x 1 x 13 x 1 = 417924
Therefore, the lowest common multiple of 564,684,988,342 is 417924.
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.
564 x 684 x 988 x 342 = 130352167296
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.
564 : 1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564
684 : 1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684
988 : 1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988
342 : 1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 564,684,988,342, is 2.
Now, the common factors can be found like this.
564:2x 2x 3x 47
684:2x 2x 3x 3x 19
988:2x 2x 13x 19
342:2x 3x 3x 19
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 3x 3x 19x 19 = 155952
Therefore, the value for common factors is 155952.
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 = 130352167296/(2x155952)
LCM = 130352167296/311904
LCM = 417924
Thus, we can understand that the LCM of 564,684,988,342 is 417924.
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FAQs on LCM of 564, 684, 988, 342
1. What is the LCM of 564, 684, 988, 342?
Answer: LCM of 564, 684, 988, 342 is 417924.
2. How to calculate the LCM of 564, 684, 988, 342?
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 564, 684, 988, 342.
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}.