Find the LCM of 564, 868, 611, 310, 298 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, 868, 611, 310, 298. So, keep reading to learn more.
Given numbers are 564,868,611,310,298
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 564,868,611,310,298 is 1185327780.
Find LCM of 564,868,611,310,298 with Prime Factorization
2 | 564, 868, 611, 310, 298 |
2 | 282, 434, 611, 155, 149 |
31 | 141, 217, 611, 155, 149 |
47 | 141, 7, 611, 5, 149 |
3, 7, 13, 5, 149 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 31 x 47 x 3 x 7 x 13 x 5 x 149 = 1185327780
Therefore, the lowest common multiple of 564,868,611,310,298 is 1185327780.
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 868 x 611 x 310 x 298 = 27632361207360
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
868 : 1, 2, 4, 7, 14, 28, 31, 62, 124, 217, 434, 868
611 : 1, 13, 47, 611
310 : 1, 2, 5, 10, 31, 62, 155, 310
298 : 1, 2, 149, 298
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 564,868,611,310,298, is 1.
Now, the common factors can be found like this.
564:2x 2x 3x 47
868:2x 2x 7x 31
611:13x 47
310:2x 5x 31
298:2x 149
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 31x 47 = 23312
Therefore, the value for common factors is 23312.
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 = 27632361207360/(1x23312)
LCM = 27632361207360/23312
LCM = 1185327780
Thus, we can understand that the LCM of 564,868,611,310,298 is 1185327780.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 564, 868, 611, 310, 298?
Answer: LCM of 564, 868, 611, 310, 298 is 1185327780.
2. How to calculate the LCM of 564, 868, 611, 310, 298?
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, 868, 611, 310, 298.
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}.