Find the LCM of 370, 221, 703, 564, 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 370, 221, 703, 564, 342. So, keep reading to learn more.
Given numbers are 370,221,703,564,342
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 370,221,703,564,342 is 1314370980.
Find LCM of 370,221,703,564,342 with Prime Factorization
2 | 370, 221, 703, 564, 342 |
3 | 185, 221, 703, 282, 171 |
19 | 185, 221, 703, 94, 57 |
37 | 185, 221, 37, 94, 3 |
5, 221, 1, 94, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 19 x 37 x 5 x 221 x 1 x 94 x 3 = 1314370980
Therefore, the lowest common multiple of 370,221,703,564,342 is 1314370980.
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.
370 x 221 x 703 x 564 x 342 = 11088033587280
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.
370 : 1, 2, 5, 10, 37, 74, 185, 370
221 : 1, 13, 17, 221
703 : 1, 19, 37, 703
564 : 1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564
342 : 1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 370,221,703,564,342, is 1.
Now, the common factors can be found like this.
370:2x 5x 37
221:13x 17
703:19x 37
564:2x 2x 3x 47
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 3x 19x 37 = 8436
Therefore, the value for common factors is 8436.
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 = 11088033587280/(1x8436)
LCM = 11088033587280/8436
LCM = 1314370980
Thus, we can understand that the LCM of 370,221,703,564,342 is 1314370980.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 370, 221, 703, 564, 342?
Answer: LCM of 370, 221, 703, 564, 342 is 1314370980.
2. How to calculate the LCM of 370, 221, 703, 564, 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 370, 221, 703, 564, 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}.